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Elden [556K]
4 years ago
14

Johnny opened a savings account 3 years ago. The account earns 7% interest, compounded continuously. If the current balance is $

200.00, how much did he deposit initially? Round your answer to the nearest cent.
Mathematics
1 answer:
torisob [31]4 years ago
7 0

Answer: the initial deposit is $162.1

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

r = 7% = 7/100 = 0.07

t = 3 years

A= $200

Therefore,

200 = P x 2.7183^(0.07 x 3)

200 = P x 1.234

P = 200/1.234

P = $162.1 to the nearest cent

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