Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over the next ten years, how much was Natalie’s initial deposit when she opened the account?

Respuesta :

Answer: $720.

Step-by-step explanation:

The formula to find the simple interest is given by :-

[tex]I=Prt[/tex], where P is the principal amount , r is the rate of interest in decimal and t is the time in years.

Given : Rate of interest : r= 0.025

Simple interest : I= $180

Time : t=10

Let P be the Natalie’s initial deposit when she opened the account, then we have:-

[tex]180=P(0.025)(10)\\\\\Rightarrow\ P(0.25)=180\\\\\Rightarrow\ P=\dfrac{180}{0.25}=\dfrac{18000}{25}=720[/tex]

Hence, the Natalie’s initial deposit when she opened the account was $720.

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