Answer:
The initial population at the beginning of the 10 years was 129.
Step-by-step explanation:
The population of the village may be modeled by the following function.
In which P is the population after t hours, 
is the initial population and r is the growth rate, in decimal.
In this problem, we have that:
.
So
The initial population at the beginning of the 10 years was 129.
Answer:
2.5 pi
Step-by-step explanation:
Comment
If you were trying to get the area of a whole circle, you would use
Area = pi r^2
You have to modify the formula to show that just part of the circle has an area that you are interested in.
The new formula is
Area = (theta/360) pi r^2
Givens
r = 30 cm
theta = 100
Solution
Area = (100 / 360) * pi * r^2 Substitute the givens into this formula
Area = (5 / 18) * pi * 3^2 Expand
Area = (5 / 18) * pi * 9 Cancel 9 into 18
Area = 5/2 * pi
Area = 2.5 * pi
The probability that both marbles will be a red color is:
6..... ⇔ number that satisfies the constraint
_____
15..... ⇔ number of outcomes
20% = 0.20
1254 x 0.20 = 250.80
so he has $250.80 deducted every month
