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120 x (1.0621).

You need a calculator with logarithms to solve this quickly.

Take the log of 1.06, multiply that by 21 then take the antilog.

The answer should be close to 3.4

I have 3.995636 which would give 407.95 to the nearest cent.

Later: Sorry, this is based on annual compounding.

For monthly the equation is 120 x (1.005252). You're on your own, I'm afraid!

* * * * *

The second part of the above answer is correct if this is purely a mathematical exercise. However, 6% compounded monthly is an annual interest rate of approx 101.2%. If you know anyone who gives even a tenth of that rate I would be interested to know!

What happens, in real life, is that the financial company advertises the annual equivalent rate of their monthly rate. So, a 6% rate, compounded monthly, is really 0.487% monthly. This is because 0.487% compounded 12 times is 1.0048712 = 1.06, or 6% per annum.

Then the real life problem reduces to 6% per annum for 21 years, which is 120*(1.06)21 = 407.95 - as in part 1 of the above answer.

* * * * *

The last paragraph above is incorrect. As was stated in the first answer, that would be for annual compounding. To calculate 6% per annum (which is what we usually mean by interest rates) compounded monthly, you first convert the interest rate to a monthly rate by dividing by 12, and that of course is half a percent per month, so every month the balance is multiplied by 1.005. So the answer of 120 x (1.005252) given there is correct. On the scientific calculator on my computer, I get $421.72.

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Q: How much would 120 invested at 6 percent interest compounded monthly be worth after 21 years Round your answer to the nearest cent?
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Continue Learning about Algebra

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