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[arctic gust]

if there's a circle, lets say, with radius r.

inside a normal integral we get pi r^2 dr

but in this case we get dA, where A is the area

[harsh ocean]

Yeah that makes sense. I don't know why I associate it with complex analysis rather than electromagnetism with real geometry

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[still crest]

I try to do a and b but whenever I try to eliminate x or y or z then everything else eliminates too, what can I do to solve this?

[echo socket]

In a the 1st and the last equations are linearly dependant (they're equivalent), meaning that there can be infinitely many solutions to a

So you have an extra degree of freedom if you need to present one of the solutions

[still crest]

What does this mean

[echo socket]

It means that you can freely choose any value for either x, y, or z

[still crest]

So should I use only 1st and 2nd equation

Or 2nd and 3rd

[glad sluice]

you can't, the system of equation satisfies for all x, y, z that satisfy any one of the three equations
there is no distinct solution

as Beans stated, all equations are equivalent

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[winged panther]

Hey, im am struggeling the past days with that task.

I have to bring (2-4 root 2)² into x+y root 2

but any approach I take. I don't succeed

[wary stream]

You realize that $(2 - 4 \sqrt{2})^2 = (2 - 4 \sqrt{2})(2 - 4 \sqrt{2})$

[ocean seal]

dldh06

[wary stream]

$(2 - 4 \sqrt{2})^2 \neq -2^2 + 4^2 \sqrt{2}^2$

[ocean seal]

dldh06

[winged panther]

I didn't realise that

[wary stream]

It's the same thing as $(x + 1)^2$

[ocean seal]

dldh06

[wary stream]

You have $(x + 1)^2 = (x + 1)(x + 1)$

[ocean seal]

dldh06

[wary stream]

Because $(x + 1)^2 \neq x^2 + 1^2$

[ocean seal]

dldh06

[wary stream]

Hopefully that helps

[winged panther]

It did gave me another perspective to solving that task

But why isnt (x +1) ^2 = x²+1² I always thought it would be like that

[wary stream]

Because you're not distributing the squared

It's saying there are 2 sets

Like if you had 2^2, that's 2 * 2

But something more complex, is (2 + 3)^2 that's just saying (2 + 3)(2 + 3)

Not 2^2 + 3^3

[winged panther]

yeahhh you right. I dont know how I could mess that up so bad

[wary stream]

You can also math it out too (2 + 3)^2 = 25 because (2 + 3)(2 + 3) = 5 * 5 = 25
But if you did 2^2 + 3^2, that equals to 13

[alpine sable]

In how many ways can you distribute 13 distinct balls into 5 distinct boxes such that each box contains at least one ball + In how many ways can you distribute 13 distinct balls into 5 identical boxes where there are no restrictions(box may contain 0 balls as well) ?

[wary stream]

Don't ask in an occupied channel
Read #❓how-to-get-help

[alpine sable]

apologies

[wary stream]

Hopefully, you can get it from there

[winged panther]

Yeah I hope so. I will try again, otherwise I could ask again again right ?

[wary stream]

Yes

[winged panther]

ok thanks a lot :))

[lone heart]

@winged panther Has your question been resolved?

[winged panther]

I did it. I solved it, thanks :))

.close

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[errant latch]

My homeworks been asking me to write a polynomial function of fourth degree with integer coefficients, a leading
coefficient of one, and zeros of x = 3, -5, 2i

[errant latch]

I have been banging my head on this for awhile

[echo socket]

Have you tried expanding (x - 3)(x + 5)(x - 2i)^2?

[errant latch]

No, how could I do that?

[echo socket]

Wait

[elfin ermine]

just multiply everything by everything

[errant latch]

Oh alright ill try that

[echo socket]

Ah nvm

[errant latch]

Thank you

[echo socket]

There are multiple answers actually

But I'd go with the one I typed

[elfin ermine]

(x - 3)(x + 5)(x - 2i)x would be easier imo

[echo socket]

Unless the problem is asking us to make 3, -5 and 2i the only roots tho

[elfin ermine]

thats impossible

oh

no

nvmd

im dumb

youre right

[errant latch]

Im expanding it rn ill let you know how it works out

[lone heart]

@errant latch Has your question been resolved?

[errant latch]

@echo socket it doesn't look like I'm doing this right

I haven't factored in the last step yet

[echo socket]

You didn't have to square all of them

Just the (x - 2i) one

[tidal crystal]

give me some Equations involving an absolute value

im bored lol

[echo socket]

Look them up maybe?

[tidal crystal]

i couldnt find hard Equations

[errant latch]

😔 alright

[median dirge]

,w rotate

[tidal crystal]

i did that with ease

[echo socket]

Try nested absolute values

[tidal crystal]

k

[errant latch]

@echo socket Does this look right?

[echo socket]

(x - 3)(x - 5) is x^2 - 8x + 15

[errant latch]

😳

Okay I actually think it's right this time

[echo socket]

Let me see

Yes it's correct but you should have done the same but with x + 5 instead lol

If you want to avoid extra effort

Here's the answer

[tidal crystal]

ok i couldnt slove it

[errant latch]

Thank you

.close

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[brittle abyss]

prove:
sec^2A -4sin^2A= 2sec^2A

I also want to know if trigonometric identities can be proven by a specific pattern or from any angle possible. Thank you

[frigid geyser]

$\sec^2 A - 4 \sin^2 A = 2 \sec^2 A$ is $ - 4 \sin^2 A = \sec^2 A$, which does not hold in general, did you make a typo somewhere by any chance or is a specific value of $A$ given?

[ocean seal]

xdk1235

[frigid geyser]

actually it's never true for any real $A$

[ocean seal]

xdk1235

[lone heart]

@brittle abyss Has your question been resolved?

[brittle abyss]

Ok thx

[lone heart]

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[lime bane]

could someone help me with this... How do i solve this equation?

[frigid geyser]

$\log _x 5 \sqrt{5} = \log _x \sqrt{5}^3 = 3 \log_x \sqrt{5}$, and maybe substitute $t := \log_x \sqrt{5}$

[ocean seal]

xdk1235

[lime bane]

thanks!!

.close

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[harsh acorn]

$a^2+ab+b^2 \geq 3(ab-1)$

[harsh acorn]

can someone help me to prove that inequality?

the constant in RHS confuses me

[frigid geyser]

that is equivalent to $a^2 - 2ab + b^2 \ge -3$

[ocean seal]

xdk1235

[frigid geyser]

assuming a and b are real

$(a-b)^2 \ge 0$ so trivially $(a-b)^2 \ge 0 \ge -3$

[ocean seal]

xdk1235

[harsh acorn]

oh my god you are kidding me

is this that easy

.close

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[harsh acorn]

.reopen

[lone heart]

✅

[harsh acorn]

well I misswrote the question

$a^2+ab+b^2 \geq 3(a+b-1)$

[harsh acorn]

thats the question

sorry

[pale kestrel]

Discriminant might be approach

Imagine b = 0. How would you show?

[harsh acorn]

$$a^2-3a+3 \geq 0$$
min value of the function $$a^2-3a+3$$ is ( by derivatives) $$\frac{3}{4}$$reminder that function is convex therefore proven

[harsh acorn]

but I am confused how it will help me

[pale kestrel]

discriminant better.

imo.

calculate discriminant, show roots complex

[harsh acorn]

why I need disc tho

[pale kestrel]

intuition

maybe not.

whichever you use, try the same with the original

[frigid geyser]

ig because typically it's shown using the discriminant

to show $x^2 - 2x + 5 \ge 0$ you use that the discriminant is less than 0

[ocean seal]

xdk1235

[frigid geyser]

so you rearrange everything in your problem like $b^2 + (a-3)b + (a^2 - 3a + 3) \ge 0$

[ocean seal]

xdk1235

[frigid geyser]

treat b as a variable, a as a constant

[harsh acorn]

.close

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[alpine sable]

how to figure out theta in this example?

[lone heart]

@alpine sable Has your question been resolved?

[pale kestrel]

arctan

draw a picture in the argand plane

[alpine sable]

thnx

.close

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[alpine sable]

I got negative 45 degrees tho.. and the terminal angle of that is 360-45 which isn’t (3/4)pi

[pale kestrel]

arctan doesnt solve all your problems

tan isnt bijective

so arctan can only invert part of it

the range of arctan is from -90 to +90 degrees

If you sketch a graph of tan x

that means arctan only gives you back your original x if x was in that range.

Otherwise you need to think about the quadrant

Also. remember the argument of a complex number is defined as the anticlockwise angle from the positive x axis

[bleak ridge]

Arctan2 moment

[alpine sable]

.close

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[alpine sable]

Kris is a salesperson for IBM. He makes a base salary of 80,000 per year plus 4% of net sales. He is paid bi-weekly, and commission is paid when the sale is billed. This period, they billed a 25,000 sale. Kris has also made another 25,000 sale but it was not billed until the day after the close of the pay period. What should Kris expect his gross pay this period to be?
A. 1,000
B. 3,076.992
C.4,076.92
D.5076.92

[ocean seal]

LandzzzzzzOD
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[alpine sable]

Please! Help!

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

NO!

[lone heart]

@loud moat Has your question been resolved?

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[loud harbor]

what is the problem

[runic pulsar]

i get that square roots cancel each other out, buuut why does sqrt(x) * sqrt(x) get rid of one of them

if that makes sense

[loud harbor]

because think about it

it's the definition of a square root

[gray isle]

by definition

[loud harbor]

what do you think a square root is

[gray isle]

wdym by get rid of "one of them"

[runic pulsar]

so like

sqrtx+3 and sqrtx+3 = (x+3)

why not (x+3)^2

[abstract fractal]

What is √2 * √2?

[runic pulsar]

oh

lmao

oops

[gray isle]

sqrt(this) * sqrt(this) = this

[runic pulsar]

🙈

lets pretend that never happened

.close

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[buoyant moss]

cubic root of 64^2 is not 64^3/2, it actually is 64^2/3

[low tinsel]

so then what would the step after that be written as. Would it be (64 1/3)^2?

[buoyant moss]

exactly

and 64^1/3 is 4

therefore thats 4^2

which is 16

[low tinsel]

ohhhh thank you!

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[vapid steppe]

help pls

[vapid steppe]

i know that 2x+5y=50

[wintry lotus]

Might help that the angles of a triangle = 180

and substitute in

C = F, so A + B + C = 180

[lone heart]

@vapid steppe Has your question been resolved?

[wintry lotus]

This channel is occupied, see #❓how-to-get-help

[alpine sable]

oh ok ty

[lone heart]

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[vapid steppe]

ok thx i solved it

[vapid steppe]

.close

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[languid scaffold]

Can I please get help for questions 1-7?

[elfin snow]

do u have ideas for #1?

[languid scaffold]

I have no idea other than the answer is probably "negative"

[wraith shard]

it is negative

[elfin snow]

yeah

[languid scaffold]

Ohh

Quick question, is there a way to graph the two problems in #2

[elfin snow]

yes

[wraith shard]

identify roots, identify axis of symmetry using x = -b/(2a) and identify vertex by subbing that x value into f(x)

[elfin snow]

find the roots and vertex

[wraith shard]

also decipher if it is concave up or down

which is ez

[elfin snow]

(concave up = opening up)

[languid scaffold]

A is up and B is up

Right?

[wraith shard]

ye

[languid scaffold]

OK I'm going to find the vertex for both rn

After I find the vertex could I graph in just vertex form?

<@&286206848099549185> I found the vertex what do I do now to graph the two equations

[lone heart]

@languid scaffold Has your question been resolved?

[lone heart]

@languid scaffold Has your question been resolved?

[remote heron]

on 2?

@languid scaffold

you usually just need a handful of points for each

its important their vertices and intersects

these are the points you should include explicitly

then connect the rest

[languid scaffold]

question on number 7 @remote heron

[remote heron]

huh?

[languid scaffold]

for number 7 do I just find the vertex?

[pale kestrel]

I have never heard of vertex

Is that the minimum?

[remote heron]

what?

[pale kestrel]

what is vertex form 🤔

[remote heron]

the vertex is the global extremum of a parabola

[remote heron]

so, yea

[robust gyro]

I think its like where two points meet

[remote heron]

a maybe good question is like

[robust gyro]

in simple terms

[remote heron]

how can you be sure that the vertex is the minimum

(that a minimum even exists)

but thats secondary really

the vertex really work fine for this without too much thought

[remote heron]

vertex form encodes the coordinate of the vertex in the equation

[pale kestrel]

i understand after u said what it was 😂

[remote heron]

ah

[pale kestrel]

but nope, haven't come across that term

[languid scaffold]

I mean at least Mase explained it in simple terms for Shuri 😄

[remote heron]

i mean @pale kestrelu know calculus right

idk what mase means

[remote heron]

do you know how to find the vertex of this parabola?

[robust gyro]

idk if i'm right

don't think i am

[pale kestrel]

idk what mase means

[languid scaffold]

For number 7? isn't it just -b/2a and then plug it back in?

and then the vertex is the minimum?

[remote heron]

more or less, yea

what do you get

[languid scaffold]

gimme a sec solving it rn

[robust gyro]

Not trying to butt in here or anything, but what i mean is, if you were going to graph this equation to find the max/min number on the parabola of the equations graphed form, it'd be where the points meet at the top/bottom, in a way. But not really 😂

[languid scaffold]

No it's okay I need as much help as I can get

[remote heron]

yea youre good

[languid scaffold]

for my vertex i got (-2,-11)

[remote heron]

nice

,w minimum x^2+4x-7

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by jan Niku#2119

[remote heron]

[languid scaffold]

So is it saying that the minimum is at x=-2?

[remote heron]

yup

[languid scaffold]

I'm sorry I'm trying to translate this inside my head

[remote heron]

youre chill

[languid scaffold]

because I wanted to do the work that it's showing me

[remote heron]

have you looked at a picture yet?

[languid scaffold]

I only saw the first picture it sent me

I pressed more

and there's no explanation

[remote heron]

,w graph y=x^2+4x-7

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by jan Niku#2119

[remote heron]

the vertex is the x coordinate of the axis of symmetry

,w graph x^2+4x-7 and x=-2

[ocean seal]

Wolfram Alpha doesn't understand your query!
Perhaps try rephrasing your question?
Click here to refine your query online

Requested by jan Niku#2119

[remote heron]

oh whatever

lol

its a vertical line that goes through the the parabola

and everything on both sides is the same

such a line will always go through the minimum or the maximum

[languid scaffold]

does this mean if I had plugged in -11, it would spit out as x=-2?

[remote heron]

well if you solved -11 = x^2 + 4x -7

you would get x=-2

multiplicity 2, i think

[languid scaffold]

Ohh so plugging in -11 after the equals sign

got it.

[remote heron]

usually like

usually youll get two answers right

or 0

[languid scaffold]

Sorry dumbing it down for me lol

[remote heron]

at the vertex its nice that its just one, though

nah youre good

heres this

https://www.desmos.com/calculator/ye77ovcqlx

idk if youre curious

since wolfram isnt work

you can slide the sliders around and see that axis of symmetry move

[languid scaffold]

Is it okay if I ask about question 6?

So far I wrote down upwards

[remote heron]

sure

,rotate 90

[remote heron]

down upwards?

what do you mean

[languid scaffold]

Ohh I meant

I wrote upwards

sorry

@remote heron

[remote heron]

upwards how many units?

[languid scaffold]

oops I should've wrote opens upwards

[remote heron]

well it does shift upwards

but by how much

[languid scaffold]

I wrote opens upwards, left 6 units and down 31 units

because the vertex I had gotten from number 6 is (-6,-31)

[remote heron]

i dont think this is correct

[remote heron]

oh, and sorry, its definitely not a plus there

this is wrong, im tired lol

its a down ward shift

[remote heron]

this is not the vertex

you dont need the vertex necessarily to do this

id go as far as to say this is a bad way to approach this problem although its nice here since x^2 has such a trivial vertex

its more just normal translation and transformation

for f(x), f(x-a) moves a to the right by a units

for f(x), f(x) + b moves b up b units

so f(x-2)-4 moves f(x) to the right 2 units, and down 4

[languid scaffold]

oof never mind

my brain shut off for a moment

Yeah you're right

[remote heron]

you can do it your way though

the math might have just gotten messed up

you should get to (x-2)^2 -4 = x^2 -4x

then the x coordinate of the vertex is -4/-2 = 2

which checks out

since the x coordinate of the vertex of x^2 is 0, and we expect (x-2)^2 -4 to be shifted 2 to the right

[languid scaffold]

Why is it downwards shifting again or opens downward?

[remote heron]

dont worry about opens

it doesnt even really matter if it opens up or down here, translations are still going to work the same way even if this thing isnt a parabola

its shifting downwards because of the -4 piece

f(x) - 4 right

you start with some f(x)

we usually pair up like

f(x)=y

this gives us our y coordinate for some x

then you go through and plot all the (x,y) or probably use a computer or your imagination

thats how you get a graph

now f(x)-4 is just y-4

for every x

so for every (x,y), we now have (x,y-4)

[languid scaffold]

Ohh sorry, I was just curious of the "opens" part because my alg 2 teacher says "include the direction where it opens" if it's a parabola

[remote heron]

just every point, moved down 4 vertically

ohhhh

well there are a lot of ways you can answer that question

but the direction it opens is indepedent of the direction its shifted

you can think about if a is positive or negative in (x-2)^2 - 4

alternatively if the vertex is a minimum then it opens up

alternatively, f(x) is just x^2 right?

does f(x-2)-4 flip the parabola?

[languid scaffold]

I said opens upward because I'm generally assuming a positive 1 is outside of the parentheses

[remote heron]

yea

[languid scaffold]

So it would be an upwards opening parabola. 😛

[remote heron]

usually what flips the parabola is something like

-2f(x)

it would be opening up, yea

which you can confirm in like 20 different ways if you wanted to

or just look at your parent function

and see if youve done something to break it

[languid scaffold]

Also for this problem how do I put whether or not it's a wide or thin parabola?

my teacher wants me to include that also

[remote heron]

wide or thin?

whats the definition

like dilation/contraction?

[languid scaffold]

thin meaning like it's more narrow

while wide is more opened further? 😄

[remote heron]

oh

[languid scaffold]

trying to explain it as best as I can

[remote heron]

well whats your guess

wider, thinner, or neither

[languid scaffold]

My teacher's notes say #>1 is thinner while 0<#<1 is wider

[remote heron]

so i warn everyone but like just be aware that a lot of this language about uhh

thinner and wider or stretches and squishes or whatever they call it

[languid scaffold]

so I guess the imaginary one isn't bigger or smaller than 1

[remote heron]

it doesnt make any sense and it gets better

imaginary one?

[languid scaffold]

imaginary one outside of the parentheses

[remote heron]

oh

yea exactly

what do you take that to mean

[languid scaffold]

Neither.

[remote heron]

yup, id agree

in a more uhh

thinking about the points moving

idk if this is helpful but

well its not gonna be helpful

lol i was gonna talk about linear maps

but thats maybe too much

idk if youve ever seen like

transformations and stuff on just a number line

instead of a plane

[languid scaffold]

ohh thin and wide is similar to stretch and compression

Sorry

[remote heron]

i dont think i saw them before i saw these kind of things you are looking at

and it would have been helpful

[languid scaffold]

I seem to be on a small lag right now

mental wise

[remote heron]

me too

[languid scaffold]

😄

[remote heron]

im so tired

haha

its pretty cool like

well its so hard to explain over text

if you imagine the x and y axis as number lines, this transformation is really just grabbing them both and sliding them a little

i think this is the more sensible way to think about them

than like is a factor bigger or less than 1

and then you have like stretches that are really compressions but by reciprocal factors

its very weird terminology

anyways how do you feel on the questions now

i think im gonna go to bed

unless you had more confusions

@languid scaffold

[languid scaffold]

Bye bye ❤️

Helped a lot

[remote heron]

[lone heart]

@languid scaffold Has your question been resolved?

[lone heart]

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[soft fulcrum]

If a conic section is defined as the ratio of a the length from the focus and the perpendicular distance from the directrix to be the constant eccentricity then how do we say the eccentricity of a circle is 0?

[vale wigeon]

circles are an edge case

if you take an ellipse and move its two foci closer together while keeping the focal sum constant, the directrices will go off to infinity

[soft fulcrum]

so circle is an ellipse with the directrix at infinity?

[vale wigeon]

kind of

a circle is an ellipse whose two foci coincide

[soft fulcrum]

.close

[lone heart]

Channel closed

Closed by @soft fulcrum

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[mortal siren]

<@&286206848099549185>

[vale wigeon]

what are you having trouble with?

[mortal siren]

this question

i dont know how to answer it

[vale wigeon]

do you know how to find the average of a set of numbers?

[mortal siren]

u collect thae amount of numbers than put in order right?

[vale wigeon]

what?

[mortal siren]

sorry i dont

[vale wigeon]

to find the average of a set of numbers, you add all the numbers together, then divide by how many numbers you had.

for example, the average of 5, 2, 3, 420, 69 is (5 + 2 + 3 + 420 + 69)/5.

[mortal siren]

so do i add the bicycles sold than divide

[vale wigeon]

that's a somewhat butchered version of what i said, but yes.

[mortal siren]

lol thanks

got another question

[vale wigeon]

monthly fixed costs went up by 2000? what were they before that?

it should say somewhere in the problem

[mortal siren]

500 right?

[vale wigeon]

no...

your image doesn't say what the fixed monthly costs were pre-expansion. so i have no reason to think they would be £500

can you please screenshot and send the whole problem, with all parts?

[mortal siren]

this is the whole problem

[vale wigeon]

is there nothing before "The company decided to expand"?

[mortal siren]

this is the question before i was skipping through the question sorry

[vale wigeon]

uhh

this still doesn't say what the pre-expansion fixed costs are 💀

[summer kite]

this question is so long

[mortal siren]

hold on ive got the full one

[summer kite]

how many paragraphs are there 💀

[mortal siren]

bro ik

this is the first question

i tried skipping through it

[vale wigeon]

aha!

The company's fixed cost is £12,000 per month.

okay

[summer kite]

was wondering what does it fix

[vale wigeon]

so let's come back to this, shall we?

[mortal siren]

lol sorry

yes please

[vale wigeon]

so

profit is income minus expenses.

you know that, right?

[mortal siren]

yeah

[vale wigeon]

alright.

so in our case, what income do we have?

or rather

where does our income come from?

i don't want any numbers here.

i want you to reason through how the company gains money rather than how much of it.

[mortal siren]

come from the company?

[summer kite]

source of money basically

[vale wigeon]

what, are you gonna tell me the company has a money printer?

[mortal siren]

the company produces bicycles?

[vale wigeon]

producing bicycles by itself does not create money for the company.

[mortal siren]

a maximum of 40 bicyicles per month

[vale wigeon]

no no no

no numbers.

[mortal siren]

oh sorry

[vale wigeon]

no numbers just yet.

producing bikes doesn't create money.

selling them does.

[mortal siren]

right right

[vale wigeon]

because when you sell a bike, that's when the customer gives you money.

so we have:

INCOME
Bicycle sales
EXPENSES
???

we aren't done yet obviously

[mortal siren]

right obviously

[vale wigeon]

but i wanted to make sure you understand the cash flow here rather than just apply some memorized formulas.

[mortal siren]

right

[vale wigeon]

so what are our expenses?

this time, unlike income, there's more than one thing to consider

[mortal siren]

do i put nuimbers now?

[vale wigeon]

no

no numbers

we're still figuring out where money comes from and where money goes

[mortal siren]

err

[vale wigeon]

we will have two things that the company needs to spend money on.

[mortal siren]

spend money on rent, salaries and utiltiies

oh

[vale wigeon]

rent, salaries and utilities are lumped together under fixed costs.

[mortal siren]

rught

[vale wigeon]

there's something else we need to spend money on.

[mortal siren]

materials?

[vale wigeon]

you've got the right idea.

[summer kite]

[vale wigeon]

we abstract this away into variable costs, which in practice would include the materials as well as labor wages for whoever assembles your bikes

basically anything that depends on the number of bikes produced, we call it variable costs. this simplifies our accounting somewhat.

[mortal siren]

ah ok

[vale wigeon]

INCOME
Bicycle sales
EXPENSES
Fixed costs
Variable costs

so now, we have the option of calculating profit per month or calculating profit for the whole six-month period at once.

i personally think it would be better to do it per month simply because most of our costs are given per month.

are you ok with that?

[mortal siren]

yes thats fine

[vale wigeon]

alright

so let's look at bicycle sales

how many bikes did the company sell per month (on average)?

[mortal siren]

numbers?

[vale wigeon]

yes, now that we've got our balance sheet ready we're going to fill it with numbers.

[mortal siren]

if so £12,000

[vale wigeon]

no

[mortal siren]

?

[vale wigeon]

"how many bikes blah blah blah?" "twelve thousand pounds"

think about what question i'm asking you

don't just blurt out the first number that pops into your mind.

[mortal siren]

right ok

[summer kite]

you alr found it!!

[vale wigeon]

^

[mortal siren]

40?

[vale wigeon]

you have already calculated this number. all i'm asking you to do is read it out.

[mortal siren]

i suck at maths

[vale wigeon]

no, it's not 40.

[summer kite]

look at the blanks you filled in earlier

[vale wigeon]

this isn't even math anymore this is just basic reading comprehension

[mortal siren]

49

[vale wigeon]

that's right.

[mortal siren]

ohhhhh

[vale wigeon]

now,

how much does each bike sell for?

what is the selling price of each bike?

[mortal siren]

£1000?

[vale wigeon]

read this again.

no, the selling price of the bikes is not £1000.

[mortal siren]

oh 800

[vale wigeon]

that's right.

so

49 bikes sold at £800 each

how much income is that?

[mortal siren]

39200?

[vale wigeon]

are you unsure?

[mortal siren]

no im sure

[vale wigeon]

then why the question mark

[mortal siren]

the answer is 39200

[vale wigeon]

okay, yes, the sales revenue is 39200.

and since that's our only source of income, it's going to be our total income.

INCOME
Bicycle sales   49 * £800 ............... £ 39,200

EXPENSES
Fixed costs     
Variable costs  

okay, now the fixed costs.

what are our monthly fixed costs?

[mortal siren]

12,000 per month

[vale wigeon]

check again

the monthly fixed costs went up by £2000.

[mortal siren]

14,000

[vale wigeon]

yes.

INCOME
Bicycle sales   49 * £800 ............... £ 39,200

EXPENSES
Fixed costs     ..........................£ 14,000
Variable costs  

and now the variable costs.

how many bikes did we produce?

[mortal siren]

500 remained the same

[vale wigeon]

read the question i'm asking you

"how many bikes did we produce?" "500"

no, we didn't produce five hundred bikes.

[mortal siren]

oh yeah that was the cost

[vale wigeon]

again,

reading comprehension,

you should understand that "amount of bikes produced" is not the same as "production cost per bike"

[mortal siren]

40

[vale wigeon]

40? why 40?

[mortal siren]

it says the company can produce 40 per month maximum

[mortal siren]

49...

[vale wigeon]

yes, 49.

we produced 49 bikes,

and what is the cost to produce one bike?

[mortal siren]

£1,000

[vale wigeon]

no

think about it

why would you spend 1000 quid to produce a bike that only sells for 800

[summer kite]

tbh im confused about the order of the information

[vale wigeon]

"cost to produce" ≠ "selling price" ≠ "old selling price"

[summer kite]

im not sure when did the maximum kick in

[mortal siren]

800 sorry

[vale wigeon]

no

you're failing at reading comprehension again

[vale wigeon]

the cost of producing a bicycle remained the same (£500)

[mortal siren]

ohhhh ofc

[vale wigeon]

again

this is all in the problem

you just need to READ it

not fish out the first number you see

[mortal siren]

right right

[vale wigeon]

you know how to read, right?

[mortal siren]

i do man

[vale wigeon]

yeah so

why aren't you reading

or at least

it feels as if you aren't reading the problem

[mortal siren]

i just skim through the info

[vale wigeon]

do not

do not skim

skimming is bad

[mortal siren]

okay okay

[vale wigeon]

this is why you're having so much trouble

you're skimming through the text

so

[summer kite]

skimming makes it easier to miss details and hence having mistakes

[vale wigeon]

49 bikes

costs £500 to produce each one

how much do we spend on production in total

[mortal siren]

im not sure

[summer kite]

£500 to create one, how much you need for 49 of those

[mortal siren]

£24500

[summer kite]

!!!

[mortal siren]

wrong??

[vale wigeon]

please

you said you skimmed the problem

can you at least not skim my messages

cause it sounds like you did just that

and things you were able to do mere minutes ago now you're saying you're "not sure"

yes it's 24500 it's literally just multiplication...

INCOME
Bicycle sales   49 * £800 ............... £ 39,200

EXPENSES
Fixed costs     ..........................£ 14,000
Variable costs  49 * £500 ................£ 24,500

so now we have all this

can you now tell us

what the profit per month is

based on this MONTHLY income/expense analysis

[mortal siren]

so i did 39,200/14,000?

[vale wigeon]

is that meant to be a division symbol

[mortal siren]

yes

[vale wigeon]

why are you dividing

[summer kite]

[vale wigeon]

i asked you if you knew this, and you said you did, but then half an hour down the line you completely forgot about it?

profit is income MINUS expenses.

[mortal siren]

i read your message as divide

i wqas confused at first

[vale wigeon]

no, that slash did not mean division.

[mortal siren]

thought so

[vale wigeon]

so

what is the profit

[mortal siren]

25200

[vale wigeon]

how are you getting that?

[mortal siren]

£1000

[vale wigeon]

what

"how are you getting that?" "one thousand pounds"

[mortal siren]

i added the fixed and variable then minused from income

[vale wigeon]

so, you added the fixed and variable costs, and what did that give you?

please reply as a complete sentence like this: "I added the fixed and variable costs and got £_____."

[mortal siren]

i got 38500

okay

[vale wigeon]

sigh

okay

so you got 38500 as the total expenses

and then you subtracted that, or "minused" as you say, from the income.

and what did you get from that?

[mortal siren]

i mustve calculated it wrong then

ill try again

[vale wigeon]

why aren't you answering any of my questions directly

jeez

[mortal siren]

wdym i am

[vale wigeon]

so you got 38500 as the total expenses
and then you subtracted that, or "minused" as you say, from the income.
and what did you get from that?

the answer to this question is meant to be a number

i'm asking you about a step in your calculations

i'm not asking you to look at it and tell me whether it's wrong or not

i'm asking you to tell me what it is

cause i'm supposed to be the one judging whether it's wrong or not

[mortal siren]

oh ok so i subtracted that by £38500

i mean 39200

[vale wigeon]

what NUMBER did you get holy shit just tell me the bloody number already wont you

[mortal siren]

and got 700 now

[vale wigeon]

THERE WE GO

FINALLY

after like

5 rounds of back and forth

you now give me a number

finally

[mortal siren]

i was doing it step by step like u said

[vale wigeon]

yes

this is correct

700 pounds per month

now

we weren't asked how much profit the company made per month

we were asked how much profit the company made in six months

so how much would that be?

[mortal siren]

i did 700 x 6 and got 4200

[vale wigeon]

there we go

in all seriousness, this was like 10% arithmetic and 90% reading comprehension.

[mortal siren]

thank you

[summer kite]

lol nice

[mortal siren]

i need help on this please

[summer kite]

[summer kite]

on every single one?

[mortal siren]

sorry

pls?

[summer kite]

uh ye sure

so

the 1st question is asking you about the number of students in the sport

so, whats the number of students in total (read the question)

[mortal siren]

20,000

[summer kite]

and the % of students that are member of warwick sports

[mortal siren]

27% of students and 17% of employees

[summer kite]

yes yes

so the question is asking about number of students in the sport

how can you calculate it

you already listed the things to get the answer of Q1

[mortal siren]

err

[summer kite]

20000 students and 27% is in the sports

[mortal siren]

do we do 27% students of 20,00 stud

[summer kite]

yes, 27% of the 20000

so how many ppl is that?

[mortal siren]

hold on

5400?

[summer kite]

yes yes

then thats your answer for Q1, simple

[mortal siren]

thank you thank you

[summer kite]

so, for Q2, it is asking you the total number of members

what makes the total number

student + ?

[mortal siren]

could i just add 20000 and 5000

[summer kite]

well thats the total number of students and employee

we're trying to find the total number of members

so there are two types of people in the sports, students and?

[mortal siren]

employees?

[summer kite]

yes yes

then find the number of employees in the sports

like how we just found the number of students in the sports

[mortal siren]

so 17% of 5000?

[summer kite]

yes yes

and add 5400 to that for the total number of members

[summer kite]

you can be sure about your response 😄

[mortal siren]

850?

[summer kite]

yes yes

[mortal siren]

sorry it is 750

850

[summer kite]

so, the total number of member is?

[mortal siren]

i got 6250

[summer kite]

yes yes

then thats the answer of Q2 !!

[mortal siren]

ah okay

thanks

[summer kite]

Q3 is asking the percentage of all ppl in the uni. that is in the sport

so how many people in total is in the uni?

there's 2 types of ppl from what we talked about, students and employees

[mortal siren]

theres 6250 people

[summer kite]

no no

how many people is in the university

not in the sports

like, everyone

[mortal siren]

err

[summer kite]

ok so

how many students

[mortal siren]

do i add 20,000 and 5,000

[summer kite]

well why are you unsure

its just addition lol

[mortal siren]

thought it was wronmg

[summer kite]

well whats the result of that?

[mortal siren]

25,000

[summer kite]

yes

and the number of people in the sports?

[mortal siren]

6250 people in the sports

[summer kite]

yes

then you can calculate the percentage!!!

you know how right?

[mortal siren]

im unsure

[summer kite]

it's ppl in sports/everyone * 100%

try to use this formula and calculate

[mortal siren]

thank you

[summer kite]

no off. but what grade are you?

[mortal siren]

grade?

[summer kite]

you dont know whats grade?

[mortal siren]

well im in year 12

[summer kite]

..

well nvm, lets pretend i didnt ask that question

continue with calculating the %

and lmk if you got answer

[mortal siren]

i got 15%

25%

[summer kite]

yes yes

then write that answer down

[mortal siren]

thanks

[summer kite]

reposting so i dont have to keep scrolling

[mortal siren]

right will do

[summer kite]

so probability

pretty similar to percentage stuff

so its like asking you

what are the chances of picking a guy that is in the sport

among everyone in the university

so same question, what is the total number of people in the sports and in the university respectively

we alr calculated those, just trying to remind you again

else you will forget all of those in split seconds

[mortal siren]

the total number of people in sports 6250

[summer kite]

yes, and the ppl in the university?

[mortal siren]

in the uni is 25,000

[summer kite]

YES

so

probability = event/all outcomes

so event is basically the people in the sports

that the question is asking you the chances of picking one

and all outcomes = all the people in the university

so how would we calculate the probability?

[mortal siren]

by doing 6250/25000

[summer kite]

YES

then just do that

[mortal siren]

i got 0.25

[summer kite]

then thats the answer

[mortal siren]

thank you

reposting again

[summer kite]

ye ty

so

Q5 is asking which campaign gives a greater increase

so we have 2 campaign

A increases student members by 1.5%

and B increases employee members by 6.5%

so, our current total member count is 6250 right?

[mortal siren]

right

[summer kite]

try to calculate the total number of members after campaign A and campaign B respectively

and send the answer here

[mortal siren]

im unsure on this one

[summer kite]

well you can do the old fashion way

recalculate the entire thing by changing 27% to 28.5%

or you can just add 1.5%*20000 (the increase of student members) to 6250

im trying to get you to find the number of members after the campaigns

so. campaign A gives us extra 1.5% of the students to become members

so how many people is 1.5% of the students

[mortal siren]

1.5% *20000 is 300

[summer kite]

yes

and add that to 6250

that makes 6550 members in total after campaign A

[mortal siren]

6550

[summer kite]

so now, do the same mindset but with campaign B

campaign B increases employee members by 6.5%, meaning we will get an extra 6.5% of employees to become our member

so how many people is 6.5% of employees?

[mortal siren]

1300?

[summer kite]

ok so

total number of employees = 5000

6.5% of that is?

we're finding EMPLOYEES now

not students

this is another campaign, campaign B

[mortal siren]

right

325?

[summer kite]

yes yes

and add that to 6250, which makes 6575

so now, tell me

6550 or 6575 is larger

[mortal siren]

6575

campaign B?

[summer kite]

YES

[mortal siren]

ty

[summer kite]

then B has a greater increase

then write B

!!

[mortal siren]

i did

[summer kite]

nice!!

so now

we have the last question, question 6

what would be the new percentage of all the ppl that would be the sports member after the campaign launched

so

the campaign is refering to the campaign we got from Q5

which is campaign B

and we found that 6575 is the new member count after that campaign right?

[mortal siren]

right

[summer kite]

so

total number of people is still 25000

that never changes

no matter how many fucking campaigns you launch

so still

[mortal siren]

lol okay

[summer kite]

oh fu

not that one

wrong script

so

[summer kite]

percentage = ppl in sports/all ppl * 100%

so how would you calculate the percentage?

[mortal siren]

do 6250 /25000*100?

[summer kite]

well

we're talking about after the campaign

which is campaign B

[mortal siren]

oh

[summer kite]

so what is the total number of people after campaign B again?

[mortal siren]

6575

[summer kite]

so

whats the percentage again?

[mortal siren]

should be 26/3

26.3

[summer kite]

yes yes

then write that

[mortal siren]

ty i did

[summer kite]

should be correct unless it isnt

ye i hope i didnt fuck up on anything stupid

[mortal siren]

haha should be good

ive got this question

<@&286206848099549185>

[lone heart]

@mortal siren Has your question been resolved?

[mortal siren]

<@&286206848099549185>

i need help on this

<@&286206848099549185>

[mortal siren]

<@&286206848099549185>

[alpine sable]

Your principal amount is 5000

Interest rate is 3 percent

And there’s 48 months in 4 years

And it gets compounded monthly

Plug the values into da formula

@mortal siren u got it ?

[mortal siren]

still confused

[alpine sable]

Uhhh

U know the formula for compound interest ?