Respuesta :

Use the simple interest formula to find the unknown quantity

I = $13.98

P=

r = 3.6%

t = 4 months

Answer:

Using the simple interest formula, the unknown quantity "P" principal = $ 1165

Solution:

Given that,

I = $ 13.98 which means simple interest = $ 13.98

r = 3.6 %

t = 4 months = [tex]\frac{4}{12}[/tex] years

P = ?

Here we have to find the value of "P" principal sum

The formula for simple interest is given as:

[tex]\text {simple interest }=\frac{P \times n \times r}{100}[/tex]

Where "P" is the principal

"n" is the number of years

"r" is the rate of interest

Substituting the values in formula,

[tex]\begin{array}{l}{13.98=\frac{P \times 3.6 \times 4}{100 \times 12}} \\\\ {P=\frac{13.98 \times 12 \times 100}{3.6 \times 4}} \\\\ {P=\frac{13.98 \times 1200}{14.4}=1165}\end{array}[/tex]

Thus the unknown quantity "P" principal = $ 1165