An account was opened with $500 earning 8% simple interest. The account now has $980. How long hasthe account been open? Show your work for credit. The account has been open for 6 years

Respuesta :

The formula to calculate Simple Interest is given as

[tex]S\mathrm{}I\mathrm{}=\frac{\text{PRT}}{100}[/tex]

Where

S.I. = Simple Interest

P = Principal

R = Rate

T = Time

From the question,

S.I. = 980 - 500 = $480

P = $500

R = 8%

To find T,

[tex]T=\frac{100\times S.I.}{P\times R}[/tex]

Substituting,

[tex]\begin{gathered} T=\frac{100\times480}{500\times8} \\ T=\frac{48000}{4000} \\ T=12 \end{gathered}[/tex]

The account has been open for 12 years.