banksderrick05 banksderrick05
  • 03-12-2019
  • Mathematics
contestada

Ben franklin's gift of $2,000 to New York City grew to 9,000,000 in 200 years. At what interest rate compounded annually would this growth occur?

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joneseaston2 joneseaston2
  • 03-12-2019

Answer:

We need to use the compound interest formula where the future amount is determined by

A = P(1 + r/n)nt

A = future or present amount = 5,000,000

P = initial amount invested = 8,000

r = interest rate as a decimal (to be determined)

n = # times compounded in a year = 1

t = # years = 200

5000000 = 8000(1+r/1)1(200)= 8000(1+r)200

(1+r)200 = 5,000,000/8,000

(1+r)200 = 625

1+r = 200√625

1 + r = 6251/200

r = 6251/200 - 1 = 0.0327

r ≅ 3.27%

Step-by-step explanation:

Answer Link
Bloodlust
Bloodlust Bloodlust
  • 03-12-2019

Answer:

r ≅ 3.27% :d

Step-by-step explanation:

Answer Link

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