Answer:
The number of years will it take to accumulate the amount in the account is 15 years .
Explanation:
Given as :
The principal invested = p = $4000
The rate of interest = r = 8.75% compounded annually
The amount accumulate after t years = A = $14,000
Let The years of accumulation = t years
From Compounded Interest
Amount = Principal ×

Or, A = p ×

Or, $14000 = $4000 ×

Or,
=

Or, 3.5 =

Taking log both side
3.5 =

Or, 0.54 = t
1.0875
or, 0.54 = t × 0.036
∴ t =

I.e t = 15
So, The number of years will it take = t = 15 years
Hence, The number of years will it take to accumulate the amount in the account is 15 years . Answer