Sally deposited money into a savings account paying 4% simple interest per year. The first year, she earned $75 in interest. How much interest will she earn during the following year? Show your work and explain your reasoning in the space provided below.

Respuesta :

Answer:

The interest earned the following year = $75

Step-by-step explanation:

Interest = $75

Rate = 4%

Time = 1 year

To find the Principal, Using the formula for Simple Interest :

[tex]\text{Simple Interest = }\frac{Principal\times Rate\times Time}{100}\\\\\implies 75=\frac{Principal\times 4\times 1}{100} \\\\\bf\implies Principal = \$1875[/tex]

Now, to find amount of interest for the second year :

T = 2 years

t = 1 year

Principal = $1875

Rate = 4%

[tex]\text{Simple Interest = }\frac{Principal\times Rate\times (T-t)}{100}\\\\\implies\text{Simple Interest = }\frac{1875\times 4\times (2-1)}{100}\\\\\bf\implies\textbf{Simple Interest  = }\$75[/tex]

Hence, The interest earned the following year = $75