Edna invests $500 at a rate of r% per year compound interest. At the end of 6 years, the value of edna’s investment is $559. 78. Find the value of r



Answer :

The rate of compound interest found per year is 61.01 using the given data if Edna invests $500.

What is the formula for compound interest?

  • In order to compute compound interest, multiply the principle of the original loan by the yearly interest rate multiplied by the number of compound periods minus one.
  • You will then be left with the principal amount of the loan plus compound interest.
  • Compound interest formula is given as:

[tex]A = (1+\frac{r}{n})^t^n[/tex]

Given: At a compound interest rate of r% annually, Edna makes a $500 investment. The investment made by Edna is worth $559.78 after six years.

Compound interest formula is given as:

[tex]A = (1+\frac{r}{n})^t^n[/tex]

[tex]500 = (1+\frac{r}{59.78})^6^0[/tex]

(1.109-1)559.78 = r

r = 61.01

Therefore, the rate of compound interest found per year is 61.01 using the given data.

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