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Homework answers / question archive / Gouldy then goes on to invests $4,000 in an account that pays 5% simple interest

Gouldy then goes on to invests $4,000 in an account that pays 5% simple interest

Finance

Gouldy then goes on to invests $4,000 in an account that pays 5% simple interest. How much more could she have earned over a 7-year period if the interest had compounded annually?

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Computation of the simple interest:-

Simple interest = Principal * Rate * Time

= $4,000 * 5% * 7

= $1,400

 

Computation of the compound interest:-

Compound interest = (Principal*(1+rate)^n) - Principal

= ($4,000*(1+5%)^7) - $4,000

= ($4,000*1.4071) - $4,000

= $5,628.40 - $4,000

= $1,628.40

More interest = $1,628.40 - $1,400

= $228.40

More amount she could have earned over a 7-year period if the interest had compounded annually = $228.40