Answer:
Step-by-step explanation:
The top triangle is similar to the whole triangle because of AAA
Then we know that the corresponding sides are similar
9/81=(3x-20)/(3x-20+56)
1/9=(3x-20)/(3x+36)
cross multiply
9(3x-20)=3x+36
27x-180=3x+36
24x=216
x=9
Answer
C. x=2
Step-by-step explanation:
This is due to 2(2) = 4
then 3^4=81
81*4=324
Answer:
The amount of money you will receive is $927.419
Step-by-step explanation:
Consider the provided information.
A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the bank for a while.
We need to calculate the amount of money if hot bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5 years.
Future value can be calculated as:

Substitute PV=800, r=0.03 and n=5 in above equation.


Hence, the amount of money you will receive is $927.419
Answer:
The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion. Be able to comfortably use the volume of a cylinder formula. π is a constant and height, h, is a constant in this task.
Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:

Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

Now we find the time when the population is 5*256=1,280. The equation to solve is:

Dividing by 256:

Taking natural logarithms:

Applying the logarithm properties:

Solving for t:

It will take 26.34 minutes for the population to reach 5 times its initial value