The question is incomplete. The complete question is :
The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?
Solution :
According to the question,
The rate of change of population is given as :
in 1990.
Now integrating,
=4900
This is initial population.
k is change in population.
So in 1995,
In 2000,
Therefore, the change in the population between 1995 and 2000 = 1,163.
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Answer:
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Answer:
wait do you still need the answer?
So let's start out by labeling Ethan as X
Since 85 is 1/3 of what Ethan drove, that means Ethan drove 3 times of 85.
85= (3x) -21
85 -21 = 3x
60=3x
20 = x
3x(x²-5)
Multiply the bracket by 3x
(3x)(x^2)=3x^3
(3x)(-5)=15x
Answer: 3x^3+15x