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,
![$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B200%7D%7B0.02%7D%5Cleft%5Be%5E%7B0.02%2820%29%7D-1%5Cright%5D%24)
![$=10,000[e^{0.4}-1]$](https://tex.z-dn.net/?f=%24%3D10%2C000%5Be%5E%7B0.4%7D-1%5D%24)
![$=10,000[0.49]$](https://tex.z-dn.net/?f=%24%3D10%2C000%5B0.49%5D%24)
=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.
The answer is < because 7.1983 * 10^1 =71.983
Answer:
a. Another letter that have corresponding angles is the letter 'E'
b. Another letter that have alternate angles is the letter 'N'
Step-by-step explanation:
The capital letter 'F' can be described as letter can be presented as follows;
Two horizontal parallel lines touching and perpendicular to a common transversal
Therefore, the parallel lines in the letter 'F' and their common transversal form corresponding angles below each parallel line and the common transversal
The two horizontal lines in the capital letter Z and the inclined transversal form alternate angles between the transversal and the parallel lines, in the region between the parallel lines and on opposite sides of the transversal
a. Another letter that have corresponding angles is the letter 'E'
b. Another letter that have alternate angles is the letter 'N'
Answer:
6.39*10^-4
Step-by-step explanation:
according to the form that is used to convert usual into scientific notation it be like 6.39*10^-4
