Matthew invested $680 in an account paying an interest rate of 5.8% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 11 years?

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Answer:

Step-by-step explanation:

1290

Based on the amount invested, the rate, and the period of compounding, after 11 years, the account would be $1,290.

As the rate is compounded daily, the rate and the period need to be converted to daily figures:

Rate = 5.8% / 365 days = 5.8/365 %

Period = 11 x 365 = 4,015 days

The amount in 11 years is:

= Amount x ( 1 + rate) ^ period

= 680 x (1 + 5.8/365%) ⁴⁰¹⁵

= $1,286.965

= $1,290

In conclusion, the account would have $1,290.

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