The time required to get a total amount of $3,300.00 with compounded interest on a principal of $1,650.00 at an interest rate of 6.2% per year and compounded 12 times per year is 11.209 years. hence the answer is
A. 2001
Compound Interest Calculation
(about 11 years 3 months)
First, convert R as a percent to r as a decimal
r = R/100
r = 6.2/100
r = 0.062 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(3,300.00/1,650.00) / ( 12 × [ln(1 + 0.062/12)] )
t = ln(3,300.00/1,650.00) / ( 12 × [ln(1 + 0.0051666666666667)] )
t = 11.209 years
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