Answer: Discounted function will be

Step-by-step explanation:
Since we have given that
Initial cost of solar energy = $9000
Average annual cost of heating a home with solar energy = $200
Rate of discount he received on the total cost = 25%
Let the number of year will be t
According to question, we need to write a discounted cost as a function of number of years.
So, our function becomes,

Hence, discounted function will be

The probability that the dealership will wait at least 6 months until the next claim is solved by:We know that the mean number of occurrences per time unit is 0.1, then let’s denote this by λ
So: f (x) = 1 – e ^ -λx for x > 0
P (x > 6) = e^ -x
= e ^-0.1 * 6
= 0.5488
Volume=[(4πr^3)/3]/2=[(4π(70)^3)/3]/2 is approximately 718378 ft^3