dumbchild1234 dumbchild1234
  • 16-04-2020
  • Mathematics
contestada

How much would $500 invest at 8% interest compounded continuously be worth after 3 years? Round your answer to the nearest cent.

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qop
qop qop
  • 19-04-2020

Answer:

$635.62

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

[tex]A = Pe^{rt}[/tex]

A = total

P = principal amount

r = interest rate (decimal)

t = time (years)

First change 8% to its decimal form:

8% -> [tex]\frac{8}{100}[/tex] -> 0.08

Next, plug in the values into the equation:

[tex]A=500e^{0.08(3)}[/tex]

[tex]A=635.62[/tex]

Your answer is $635.62

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