Regina's average balance checking account pays simple interest of 3.6% annually, and she made $2.31 in interest last month. What was Regina's average balance last month?
A. $770.00
B. $77.00
C. $7.70
D. $7700.00

Respuesta :

3.6%/12=0.3% monthly
Balance last month
2.31/0.003=770

Answer:

A. $770.00

Step-by-step explanation:

We have been given that Regina's average balance checking account pays simple interest of 3.6% annually, and she made $2.31 in interest last month.

We will use simple interest formula to solve our given problem.

[tex]I=Prt[/tex], where,

[tex]I=\text{Amount of interest}[/tex],

[tex]P=\text{Principal amount}[/tex],

[tex]r=\text{Annual interest rate in decimal form}[/tex],

[tex]t=\text{Time}[/tex]

Let us convert our given interest rate in decimal form.

[tex]3.6\%=\frac{3.6}{100}=0.036[/tex]

Now we will divide 0.036 by 12 to find the monthly interest rate.

[tex]\frac{0.036}{12}=0.003[/tex]

[tex]\$2.31=P*0.003*1[/tex]

[tex]\$2.31=P*0.003[/tex]

[tex]\frac{\$2.31}{0.003}=P[/tex]

[tex]P=\$770.00[/tex]

Therefore, option A is the correct choice.