7.3k views
5 votes
A company had a profit of $45,000 in its first year of operation. Each successive year, it had a 6% raise in its profit. What would be the total profit of the company over a period of 15 years?

1 Answer

0 votes

Answer:

Explanation:

Note that the profit of the company's second year is 45000(1.06)^1. Then, each year after that, it's profit is 45000(1.06)^2, 45000(1.06)^3, 45000(1.06)^4, and so on.

After 15 years, its profit is the sum:

45000 + 45000(1.06)^1 + ... + 45000(1.06)^13 + 45000(1.06)^14.

This is a geometric series that has a first term of 45000, a common ratio of 1.06, and 15 terms. Therefore, this sum evaluates to:

45000[1 - (1.06)^15]/(1 - 1.06), by the sum of a geometric series formula

≈ $1047418.65.

User Peter Ludemann
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories