If a sum of money earns $11,178 as simple interest over a period of 9 years at the rate of 6% per annum, what is the principal

Respuesta :

Answer:Formular for simple interest is

I = P X R XT

————

100

where P is the amount borrowed or loan , Rate is the percentage of interest in P while T is the Time range for the loan

Now to find the Principal, we now change the original subject of the formula to suit or reflect P.
P = I X 100

———-

R X T

= 11, 178

———

6 X 9

=. 11, 178

——

54

=. $20,700

Step-by-step explanation:

Answer:

$20,700

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

  • I = interest accrued
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = $11,178
  • r = 6% = 0.06
  • t = 9 years

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 11178=P(0.06)(9)[/tex]

[tex]\implies \sf 11178=0.54P[/tex]

[tex]\implies \sf P=\dfrac{11178}{0.54}[/tex]

[tex]\implies \sf P=20700[/tex]

Therefore, the principal amount is $20,700.

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