Roserodie24 Roserodie24
  • 22-09-2022
  • Mathematics
contestada

$850 at 7% compounded annually for 3 years how do you calculate earned interest?

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 22-09-2022

Answer:

$191.29

Step-by-step explanation:

Use the formula
[tex]A = P(1 + \dfrac{r}{100})^n[/tex]

where P is amount deposited, A the accrued amount, n number of years and r the interest rate in % compounded annually

The division by 100 is necessary to convert r% to a decimal for calculations

We have P = 850, r = 7% and n = 3

Plugging these in we get
[tex]A = 850\cdot (1 + (\dfrac{7}{100})^3\\\\A= 850\cdot(1 + 0.07)^3\\A = 850\cdot1.07^3\\\A = \$1,041.29[/tex]

Interest = A - P = 1041.29 - 850 = $191.29

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