Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

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Answer:

it would be 800 because 2.8% of 800 is 22.40 and that is your answer.

hope i helped :)

Answer:

$800.

Step-by-step explanation:

We have been given that Gene's deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. We are asked to find the amount of original deposit.

To find the original amount of deposit, we use simple interest formula:

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

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal form.

[tex]2.8\%=\frac{2.8}{100}=0.028[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\$22.40=P*0.028*1[/tex]

[tex]\$22.40=P*0.028[/tex]

[tex]\frac{\$22.40}{0.028}=\frac{P*0.028}{0.028}[/tex]

[tex]\$800=P[/tex]

Therefore, the amount of original deposit was $800.