(7.RP.3) When invested at an annual interest rate of 6% an account earned $180.00 of simple interest in one year. How much money was originally invested in account? (1 pt) * a) $10.80 b) $108 c) $648 d) $30 e) $300 f) $3,000

Respuesta :

Answer:  f) $3,000


Step-by-step explanation:

Given: Simple interest amount S.I.= $180.00

The rate of interest annually= 6%

In decimal , the rate of interest annually r = 0.06

Time period t = 1 year

Let 'P' be the principal amount invested in account.

The formula to calculate simple interest is as :-

[tex]\text{Simple interest }=Prt[/tex]

[tex]\\\Rightarrow180=P(0.06)\times1\\\\\Rightarrow\ P=\frac{180}{0.06}\\\\\Rightarrow\ P=\$3000[/tex]

Hence, the principal amount invested in account = $3000