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rusak2 [61]
3 years ago
13

Pls help find the amount at the end of 6 hours

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

A. 7,348

Step-by-step explanation:

P = le^kt

intitial population = 500

time = 4 hrs

end population = 3,000

So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.

A = Pe^rt

3,000 = 500e^r4

now we can solve for r

divide both sides by 500

6 = e^r4

now because the variable is in the exponent, we have to use a log

log_{e}(6) = 4r

ln(6) = 4r

we can plug the log into a calculator to get

1.79 = 4r

divide both sides by 4

r = .448

now lets plug it back in

A = 500e^(.448)(6 hrs)

A = 7351.12

This is closest to answer A. 7,348

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Hope this helps!
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Evaluate the expression: m-3n when m=8, n=2<br><br> A. 10<br> B. 2<br> C. 14<br> D. 13
kvv77 [185]
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6 0
3 years ago
Read 2 more answers
LOTS OF POINTS!
icang [17]
<span>Let us first find a ratio between the quantity of work done by Darnell and Julius. If Darnell does one part of the work, Julius does two parts of the work. That is, their work quantity ratio is 1:2. (Total 3 parts) In other words when Darnell does 1/3 of the work, Julius does 2/3 of the work. When they work together, the work is completed in 4 hours. 4 hours work is the combined output of 1/3 by Darnell and 2/3 by Julius. If Julius was not there, Darnell would have to work for more than 4 hours. We already know that Darnell does only 1/3 of a work during any given time. If the given time is 4 hours, how many one-thirds will Darnell require? To find the answer, divide the given number (4 hours in this case) by the given fraction( 1/3 in this case) To divide a number by a fraction, multiply the number by the reciprocal of the fraction. Thus it becomes 4 divided by 1/3 = 4 x 3/1 = 12. (Another hint: At the rate of 1/3 of a work in one hour, Darnell will needs 3 hours to complete the given task. If the given work is 4 hours long, Darnell will take 4 x 3 hours, that is 12 hours.)</span>
6 0
3 years ago
How to do this and I need help pls
tatuchka [14]

Answer:

9

Step-by-step explanation:

f(x) = (x - 2)^{2}  \\ f(5) = (5 - 2)^{2}  \\ f(5) =  {(3)}^{2} \\ f(5) = 3 \times 3 \\ f(5) = 9

7 0
3 years ago
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