Answer:
32%
Step-by-step explanation:
at least twenty caters long
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.
Answer:
182 days
Step-by-step explanation:
Given:
Date on which loan is made = March 12
Due date of the loan = September 10
Now,
The months in between March and September and the number of days in the particular months are
Month Number of days
April 30
May 31
June 30
July 31
August 31
------------------------------------------
Total number of days = 153
also,
Number of days left in March after 12 are (31 - 12 ) = 19 days
and,
Number of days in September before the due date = 10 days
Hence, the total time for loan = 19 + 153 + 10 = 182 days
since the included months does not have the month of February. Therefore,
the time for both leap year and non-leap year will remain same.
Answer:
A. 3.0 m/s
Step-by-step explanation:
Based on the graph,
velocity = Area of the graph

(y : position and x : time)
Let y1 = 2m and y2 = 14m,
t1 = 0s and t2 = 4s
v = (14 - 2)m/(4-0)s
= 12m/4s
= 3.0 m/s
Answer:
x=8, x=2
Step-by-step explanation:
(x-5)^2=9 Solve by completing the square
Find square root of both sides
|x-5|=3
x=8, x=2