you borrow $660 dollars from your brother and agree to pay back $720 in 7 months what simple interest rate will you pay

Answer :

The formula to calculate the simple interest rate is:

[tex]R=(\frac{1}{T})(\frac{A}{P}-1)[/tex]

Where R is the simple interest rate (in decimal form), T is the time, P is the principal (the initial amount borrowed) and A is the total amount paid after time T. In this case:

[tex]\begin{gathered} T=7 \\ A=720 \\ P=660 \end{gathered}[/tex]

Substituting these values into the formula:

[tex]R=(\frac{1}{7})(\frac{720}{660}-1)[/tex]

Solving the operations:

[tex]R=\frac{1}{7}(0.09090909)[/tex][tex]R=0.012987[/tex]

To convert this simple interest rate into a percentage, we multiply it by 100:

[tex]0.012987\times100=1.2987[/tex]

This is the simple interest rate per month:

R=1.2987 % per moth

We can also calculate the simple interest rate per year by multiplying the previous result by 12 (this is because there are 12 months in a year)

[tex]1.2987\times12=15.5844[/tex]

The simple interest rate per year is:

R=15.5844 % per year

Answer:

R=1.2987 % per moth

R=15.5844 % per year

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