Laura borrowed $700 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan was $63. As a percentage, what was the annual interest rate of her loan?

Respuesta :

The Solution.

By formula, simple interest is given as below:

[tex]I=\frac{\text{PRT}}{100}[/tex]

In this case,

[tex]\begin{gathered} I=\text{ \$63} \\ P=\text{ \$700} \\ T=3\text{years} \\ R=\text{?} \end{gathered}[/tex]

Substituting the above values in the formula, we get

[tex]63=\frac{700\times R\times3}{100}[/tex]

Solving the above equation, we get

[tex]\begin{gathered} 63=7\times R\times3 \\ 63=21R \end{gathered}[/tex]

Dividing both sides by 21, we get

[tex]R=\frac{63}{21}=3\text{ \%}[/tex]

So, the interest rate is 3%.

Thus, the correct answer is 3%

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