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In a company's first year in operation, it made an annual profit of $140, 000.

The profit of the company increased at a constant 20% per year each year.
How much total profit would the company make over the course of its first 14
years of operation, to the nearest whole number?

User Dcrearer
by
6.9k points

2 Answers

1 vote

Answer:

The total profit the company would make over the course of its first 14 years of operation is approximately $2,562,841.

Explanation:

The profit of the company increased at a constant 20% per year. We can use the formula for the future value of an investment to calculate the profit for each year, where:

FV = PV x (1 + r)^n

FV is the future value of the investment

PV is the present value of the investment

r is the annual interest rate

n is the number of years

Using this formula, we can find the profit for each year:

Year 1: $140,000

Year 2: $168,000

Year 3: $201,600

Year 4: $241,920

Year 5: $290,304

Year 6: $348,364

Year 7: $418,037

Year 8: $501,644

Year 9: $601,972

Year 10: $722,367

Year 11: $866,840

Year 12: $1,040,208

Year 13: $1,248,250

Year 14: $1,497,900

To find the total profit over the course of the first 14 years, we can simply add up the profits for each year:

Total profit = $140,000 + $168,000 + $201,600 + $241,920 + $290,304 + $348,364 + $418,037 + $501,644 + $601,972 + $722,367 + $866,840 + $1,040,208 + $1,248,250 + $1,497,900

Total profit = $2,562,841 (rounded to the nearest whole number)

User Zaklina
by
7.1k points
0 votes

Answer:

238000

Explanation:

hope I did this right!!

User Jesse Luke Orange
by
6.8k points