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Travis invested $9,250 in an account that pays 6 percent simple interest. How much more could he have earned over a 7-year period if the interest had compounded annually

1 Answer

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Answer: $773.58

Step-by-step explanation:

From the question, we are told that Travis invested $9,250 in an account that pays 6 percent simple interest over a 7 year period.

We need to calculate the simple interest first. This will be:

= PRT/100

where

P = principal = $9250

R = rate = 6%

T = time = 7 years

Simple interest = (9250 × 6 × 7)/100

= $388500/100

= $3885

Amount after 7 years will now be:

= $9250 + $3885

= $13135

If the interest was compounded annually, this will be:

FV = PV(1 + r)^n

= $9,250(1 + 0.06)^7

= $13,908.58

Therefore, the difference will be:

= $13,908.58 - $13,135

= $773.58

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