homework

[unreal nymph]

anyone able to help me with this

[near gale]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[jovial kayak]

,calc 58*(113/100)^20

[lusty crown]

Result:

668.33909035395

[jovial kayak]

well, you have ur answer ig

[light marlin]

What a horrible helper

[jovial kayak]

there's honestly not much to explain here

[light marlin]

Sure

[ivory urchin]

there is though

so this is an exponential function in the form $f(t)=a(p)^t$ where $a$ is the starting value, kind of line b in y=mx+b, p is the percentage of growth or decay, and t is time

[lusty crown]

saddayyy_

[ivory urchin]

since this is growing at 13% per hour, we can add that to our default 100% since it is growing

$1+0.13=1.13$

[lusty crown]

saddayyy_

[ivory urchin]

a=58 since it is our starting value

and t is equal to 20 hrs as given

oh damnit

so $f(20)=58(1.13)^{20}\approx 58(11.5230878) \approx 668.3390903 $ then round to the nearest ones gives us $f(20)\approx 668 m^2$

[lusty crown]

saddayyy_

[ivory urchin]

hope this helps!

so for example, if we have a colony of bacteria growing at 20 percent per hour with a starting value of 10 and we need to find the population of the bacteria at t=5, we can set up our function as $b(t)=10(1+0.20)^t=10(1.20)^t$ and then plug in our t value at t=5. $b(5)=10(1.20)^5=10(2.48832)=24.8832$ and we can't have a decimal amount of bacteria so we must round to our nearest one's place which would be 25 so $b(5)\approx 25$

[lusty crown]

saddayyy_

[ivory urchin]

also that x is supposed to be a t

[jovial kayak]

yeah this is the explanation
but it seemed obvious to me so I didn't bother

[ivory urchin]

well if they are asking how, it isn’t obvious for them