Answer:
LN=37 units
Step-by-step explanation:
In this problem I will assume that M is a point between point L and point N
therefore
LN=LM+MN
substitute the given values
LN=22+15=37 units
Answer:
Yessir
Step-by-step explanation:
Friend 8028966, is very smart because ballons are very smart
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:
19.6, B
Step-by-step explanation:
To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.
We are given this equation.
5 gallons of brown paint = 7 gallons of white paint
Divide both sides by 5.
1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint
Now, using this, substitute 14 into the left side.
14 gallons of brown paint = 1.4 * 14 gallons of white paint
14 gallons of brown paint = 19.6 gallons of white paint
Thus, the answer is B, 19.6 gallons