Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?

Respuesta :

The formula for simple interest is
[tex]I=Prt[/tex]
where I=interest earned, P=initial deposit, r=rate of increase, and t=time.

We have
[tex]I=14.65[/tex]
[tex]r=2.5\%=0.025[/tex]
[tex]t=2[/tex]

Plug in:
[tex]14.65=P(0.025)(2)[/tex]
Solve for [tex]P[/tex]:
[tex]14.65=0.05P[/tex]
[tex]\rightarrow P=293[/tex]

So the initial deposit was $293.

Answer:

the answer is 293

Step-by-step explanation:

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