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djverab [1.8K]
3 years ago
10

A person places $7320 in an investment account earning an annual rate of 8.2%,

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

The amount of money after 12 years is $19581.99 to the nearest cents

Step-by-step explanation:

The formula of the compound continuously interest is V = Pe^{rt} , where

  • V is the value of the account in t years
  • P is the principal initially invested
  • e is the base of a natural logarithm
  • r is the rate of interest in decimal

∵ A person places $7320 in an investment account

∴ P = 7320

∵ The account earning an annual rate of 8.2%, compounded continuously

∴ r = 8.2% ⇒ divide it by 100 to change it to decimal

∴ r = 8.2 ÷ 100 = 0.082

∵ The time is 12 years

∴ t = 12

→ Substitute these values in the formula above to find V

∵ V = 7320e^{0.082(12)}

∴ V = 19581.99121 dollars

→ Round it to the nearest cents ⇒ 2 d.p

∴ V = 19581.99 dollars

∴ The amount of money after 12 years is $19581.99 to the nearest cents.

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