Question

Albend Holmes wants to deposit $4,500 in a bank account that pays 8.25 percent annually. How many years will it take for his investment to grow to $10,000? (Round off to the nearest year.)\

Answer 1

Answer:

10 years

Explanation:

A = P(1 + r)^n

A (amount) = $10,000

P (principal) = $4,500

r = 8.25% = 0.0825

10,000 = 4,500(1 + 0.0825)^n

10,000/4,500 = 1.0825^n

2.22 = 1.0825^n

Log 2.22 = Log1.0825^n

nLog1.0825 = Log2.22

n = Log2.22/Log1.0825 = 0.3464/0.034 = 10 years (to the nearest year)