WensleyO388503 WensleyO388503
  • 29-10-2022
  • Mathematics
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Jaytakesouta11.5%simpleinterestloantodaythatwillberepaid6monthsfromnowwithapayoffamountof$9000.00.WhatamountisJayborrowing?

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TynsleyD93796 TynsleyD93796
  • 29-10-2022

Given the formula for simple interest:

[tex]A=P(1+rt)[/tex]

where A is the principal plus interest, P is the principal amount, r is the rate of interest and t is the time period.

In this case we have the following:

[tex]\begin{gathered} A=9000 \\ r=0.115 \\ t=6 \\ \Rightarrow9000=P(1+6\cdot0.115) \\ \Rightarrow P=\frac{9000}{1.69}=5325.44 \\ P=5325.44 \end{gathered}[/tex]

Therefore, Jay is borrowing $5325.44

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