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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

2 Answers

3 votes
3.6%/12=0.3% monthly
Balance last month
2.31/0.003=770
User Suite Resources
by
8.1k points
5 votes

Answer:

A. $770.00

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.


I=Prt, where,


I=\text{Amount of interest},


P=\text{Principal amount},


r=\text{Annual interest rate in decimal form},


t=\text{Time}

Let us convert our given interest rate in decimal form.


3.6\%=(3.6)/(100)=0.036

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


(0.036)/(12)=0.003


\$2.31=P*0.003*1


\$2.31=P*0.003


(\$2.31)/(0.003)=P


P=\$770.00

Therefore, option A is the correct choice.

User Chris Parry
by
8.9k points
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