kaileengonzales kaileengonzales
  • 08-10-2020
  • Mathematics
contestada

How much would you have to deposit today to have an accumulated amount of $20,000 in 20 years if yearly interest is 4.75% compounded continuously?

How much would you have to deposit today to have an accumulated amount of 20000 in 20 years if yearly interest is 475 compounded continuously class=

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arlenejohannag
arlenejohannag arlenejohannag
  • 04-12-2020

Answer: $7734.82

Step-by-step explanation:

You would use the equation F=Pe^rt because the interest is continuous.

What we know:

F= 2000

r= 4.75%

t= 20

Plug in the information to the equation: 2000=Pe^.0475*20.

Because we need P by itself, you would divide the e^rt on both sides so then they cancel out and you get 2000/e^.0475*20 = 7734.820469.

Rounding it to the hundredth place, you’ll get $7734.82

Hope that this helps :)

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