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  • 08-10-2020
  • Mathematics
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Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She spent $3221.75 in all to repay the loan. How many years did Georgia take to repay the loan?

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topeadeniran2 topeadeniran2
  • 17-10-2020

Answer: 9 years

Step-by-step explanation:

Simple interest = PRT/100

where

P = principal = $2450

R = rate = 3.5%

T = time = unknown

Interest = $3221.75 - $2450 = $771.75

Simple interest = PRT/100

$771.5 = ($2450 × 3.5 × T)/100

$771.5 = $8575T/100

8575T = 771.5 × 100

8575T = 77150

T = 77150/8575

Time = 8.99 years = 9 years

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