How much interest is earned on an investment of $6000 at 3.5%annual interest after 6 months?


how did my teacher get 105 I need help

Respuesta :

Solution

Here we have to use compound interest formula for half year.

6 months = 1/2 years

Amount = [tex]P(1 + \frac{r/2}{100})^2n[/tex]

R = Rate

P = Principle

n = number of years

Here P = 6000, r/2 = 3.5/2 = 1.75, n = 1/2

Plug in the given values into the formula, we get    

A  = 6000(1 + 1.75/100)^2(1/2)

A = 6000(1 + 0.0175)^1

A = 6000(1.0175)

A = $6105

Compound interest = A - P

= $6105 - $6000

Interest = $105

Thank you :)

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