Jacob invested $300 in a savings account and earned $81 in simple interest at the end of 9 years. what was the interest rate

A) 3%
B) 3.5%
C) 4%
D) 4.5%

Respuesta :

Answer:

A.

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=300, A=381, and t=9. We then solve for r.

[tex]381=300(1+9r)[/tex]

We divide both sides by 300.

[tex]\frac{381}{300}=\frac{300(1+9r)}{300}[/tex]

Simplify.

[tex]1.27=1+9r[/tex]

We subtract 1 from both sides.

[tex]1.27-1=1-1+9r[/tex]

Simplify.

[tex]0.27=9r[/tex]

We divide by 9.

[tex]\frac{0.27}{9}=\frac{9r}{9}[/tex]

r=0.03

We need to convert the decimal to a percentage by multiplying by 100.

The interest rate is 3%.


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