Question

The number of new domestic wind turbine generators installed each year in a particular country has been forecast to increase at a constant multiplicative rate of 15% per annum for the foreseeable future. This year (t = 0) 100 new generators were installed. What is the total number of new generators including this year's, that would have been installed within the next ten years (that is up to and including year t = 9)? Use a discrete model for the growth process.
a. 2030
b. 235
c. 1679
d. 900

Answer 1

Answer:

2030

Explanation:

The computation of the total number of new generators including this year is shown below

Given that

(A) = 100

Common Ratio (r) = 1.15

n = 10

Now

Sum of 10 terms Sn is

= A × (r n - 1) ÷ (r - 1)

= 100 × (1.1510 - 1) ÷ (1.15 - 1)

= 100 × 3.0456 ÷ 0.15

= 2030

We simply applied the above formula so that the total number of new generators could come