When signing the lease for her new apartment, Tanya paid a security deposit that earned 4% simple annual interest. At the end of a year, the interest earned on the security deposit was $17.50. How much was the security deposit?
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Step-by-step explanation:
Let P represent the security deposit.
We have been given that when signing the lease for her new apartment, Tanya paid a security deposit that earned 4% simple annual interest. at the end of a year, the interest earned on the security deposit was $17.50.
I=Prt, where
I = Amount of interest,
P = Principal,
r = Annual interest rate in decimal form,
t = Time in years.
r=4%=4/100
=0.04
$17.50=P*0.04*1
$17.50=P*0.04
$17.50/0.04=P*0.04/0.04
$437.50=p
Therefore, the security deposit was $437.50
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