tori earned some money doing odd jobs last summer and put it in a savings account that earns 3% interest compounded quarterly after 10 years there is 1,000.00 in the account how much did tori earn doing odd jobs

Respuesta :

The formula to calculate the total amount in the savings account, with an interest that's compounded quaterly, a 3% interest and an inicial saving of s is:

[tex]T=S(1.03)^q[/tex]

Where q is the number of quarters.

We know that after 10 years (40 quarters) Tori had $1000.

Thereby,

[tex]\begin{gathered} 1000=S(1.03)^{40}\rightarrow S=\frac{1000}{(1.03)^{40}} \\ \rightarrow S=306.56 \end{gathered}[/tex]

Tori originally had $306.56 in the savings account