#i have tried but cannot get the answer
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23 and 24 are geometric series questions
Sn = a+ ar+ar^2+ar^3+...+ar^n
Sn = a(1-r^n)/(1-r)
25 is exponential growth
y=Cexp(rT)
23 i have found the total
But there is one more thing which i have to find
That part
"The farmer calculating quickly........ten dollars"
Hires the tramp for 6 months
Did he make a wise bargain
Now what does the question mean by did he make a wise bargain?
For 23) I says he hired him for 6 months (=24 weeks), but then talks about the entire period being 26 weeks.... either way, yeah it's a bum deal for the employer. He should have studied math more lol
No, the farmer's an idiot... making an employment decision that will make you broke is not wise.
Thats for sure unless he plants those greens
And ya one part says i have to find the 26th weeks wages
Can you help with 24 ?
use the geometric sum relations I gave you
I have used
I got 3 different ans 3 diffnt times
Once i got close to the ans
The relation is even in my knowledge
If the ball bounces i have to double the distance it travels in each bounce like in 1st 40 ft so 80 ft once up and downand also it says after leaving the handso i have to consider that distance too which i can approximate as 40 ft
Right?
a = 40; r = 16/40 = 0.4; n = 5
Sn = a(1-r^n)/(1-r) = 40(1-0.4^5)/(1-0.4)
a = 80?
Yeah for 24:
And pls do for 25 i want to cross check
25: there should be a 256x increase in the original bacteria amount after 24 hrs?
I believe we do not have to add the 0.82 bcoz at 5th time it hits the ground and goes up and again comes down travels a distance 2.05 and after that distance it has hit the ground for 6th time and we need the ans for when it strikes the ground for 6th time then we'll get
Total = 131.97
And also from the time it leaves the hand so i have to consider that distance too which can be approximated as 40
Giving total as 171.97
?
Hitting the ground for the 6th time is the end of the set... the 6th up and down. It's thrown up first, so the first hit on ground is 1, the 2nd, 2.... 6 is 6th
So you need to include the distance up and down for the 6th set, not just down
Even i got 256 but here its given 128
Perhaps the answer key is wrong
Ohh my bad it slipped my mind that it is being thrown upwards and not released
Well that is all about the distance it covered when the ball was bouncing around and it asks total distance travelled after leaving the hand
Well its not mentioned here how much distance it travelled when thrown upwards so
It's each up/down
Ya
Oh that's a good point.... there's another bounce before the 40 ft one... hold one
Ya
If it was just released
We could have approximated the distance as 40 ft
But since its thrown we can't tell
buds thanks for the help
Well there's one more if you wouldn't mind?
Try this,
You can tell.. it's the same 2.5 ratio applied to the initial toss
I enjoy a good trick question, good catch
So it's first thrown up 100 feet... comes back down then bounces 40ft etc...
But you're right, it traveled 200 ft before the first bounce, which should be included in the sum
But ans given is 165.984 ft
"after leaving the hand"
Lol I'd say the answer key was wrong... who ever wrote it probably wasn't thinking about the inital toss in how it was worded lol
Dk it is a pretty old book
Odd that 165.984 f is almost 1/2 the answer I gave 332.79
Yes i too was wondering the same
"Total distance traveled after leaving the hand..." means to include the up/down of the inital toss (100ft+100ft) as this is 2.5 more than the first 40ft bounce
Extra credit to you!
Do you think that 40 ft includes the up and down both ?
By the way, it's absurd... no body can "toss" a ball 100ft in the air anyways lol
Well let me tell you something ironical the book is named "arithmetic for the practical man"
No because it says it "bounces" 40 ft the first time (meaning up then down)
Oh that's funny... but not the common man that's practical lol
lol
Yes
But if we consider it is both up and down
Then
We get 166.3936
Well theres one more lets keep that for tomorrow
If we consider the bounces means both up and down movement's total = 40ft
Then we'll get the sum as 166.39 ft
Which is pretty close to the answer assigned
Here
Wow I cannot get it to sum to 166.39
Think it's the wording... it literately states the ball is thrown up, it travels down, hits the ground, then bounces up to 40 ft, and back down again
So literally that's the inital toss 100 ft up + 100 ft down, then 1st ground bounce, then 40 ft up, then 40 down, then 2nd ground hit, and so forth...
What that does do is make the 1st ground hit the one after the initial toss... so my prior 6th bounce was wrong (also, the thrower's hand when tossing is not at ground level either, so technically there's about 4 ft to subtract off as well that I didn't do):
26 is a classic pyramid mail scam lol ... seen this before
For 26, the "charity" is going to get audited by the IRS:
Now considering the hand too is something
Lol
I totally divided wrong in that 26 per person payment question.... should be about $659.00 per person (If it's net remit- stamp total / 135M) or $941.43 (Remit/135M)
Bro where u from?
23 we have found Correctly
-
26th week, $335,544.32
Total, $671,088.63 -
165.984 ft
-
128 times as many as at start
-
$32,391,432,811.14
2)$ 9,717,429,811.14 -
About 2400
pumpkineater96
@deft belfry
is this the answer key or are these the answers you have so far
I'm very curious how you both are getting 24) 165.9 ft... can you show how you arrived at that?
- 128x in 24 hrs? How? There's 8 doubling periods, 2^8 = 256... it's doubles 256 times in 24 hrs if it doubles every 3 hrs
Please show your work for 24, 25... and what did you define as "proceeds" in 26? (Net of Remit - total amount spent on stamps?)
Answer key
Thats the answer key
Proceeds = the total money raised from letters I believe.
Man lol... english is my primary language and I do not get 128 for 25) the way it's worded.
Even i am getting 256 according to the words