Answer:
I think the answer is 120 days
Step-by-step explanation:
After 120 days, population will be 10000 times 3 which is equal to 30000
After another 120 days, population will be 30000 times 3 which is equal to 90000 and 90000 is under 100000
hence after 240 days, the population will still stay under 100000
Answer:
3
Step-by-step explanation:
start with the ending answer and go backwards
First find the area of the triangle base. The area of a triangle is one-half base times height.
0.5 * 8 * 14 = 56
Now multiply the area by the length of the prism.
56 * 49 = 2744 cm^3
The answer is A
Answer:
Option A - The number of visitors is multiplied by (1+r) each year
Step-by-step explanation:
Given : The number of visitors to an art museum increases each year. The function V(t)=N(1+r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
To find : Select the correct statement?
Solution :
We have given an exponential function,
The function V(t)=N(1+r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
As In year 0,
The initial visitors is V(t)=N(1+r)^0=N
In year 1,
V(t)=N(1+r)^1=N(1+r)
In year 2,
V(t)=N(1+r)^2
So, According to this the number of visors is multiplied by (1+r) each year.
Therefore, Option A is correct.
Answer:
Step-by-step explanation:
Given
Required
Find f(u)
To do this, we start by integrating the left-hand side
Using integration by parts, we have:
So, we have:
Differentiate
Integrate
So:
So, we have:
Integrate du using constant rule
Subtract c from both sides
Subtract u ln(u) from both sides
Rewrite as: