11 years ago, Sallie invested $21,000.00 into a savings account. She now has$27,064.00. What simple interest rate was her savings account earning? Assume theinterest rate has not changed since the account was opened.

11 years ago Sallie invested 2100000 into a savings account She now has2706400 What simple interest rate was her savings account earning Assume theinterest rate class=

Respuesta :

Given:

Principal amount= $21000

Total amount = $27064

Time t=11 years

The simple interest rate is calculated as,

[tex]\begin{gathered} A=P(1+rt) \\ \frac{A}{P}=1+rt \\ rt=\frac{A}{P}-1 \\ r=\frac{1}{t}(\frac{A}{P}-1) \end{gathered}[/tex]

Here,

[tex]\begin{gathered} A=27064,P=21000,t=11 \\ r=\frac{1}{t}(\frac{A}{P}-1) \\ r=\frac{1}{11}(\frac{27064}{21000}-1) \\ r=\frac{1}{11}\times\frac{6064}{21000} \\ r=0.02625108 \end{gathered}[/tex]

Simple interest rate is,

[tex]\begin{gathered} R=0.02625108\times100 \\ R=2.6251\text{ \%} \end{gathered}[/tex]

Answer: 2.6251 %