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How many years will it take for 8000 to double at a simple interest rate of 6 percent?
6% of 8,000 = 480 Since interest is not compounded, you just keep getting 480 paid once every year. Mathematically, it takes 8,000/480 = 162/3 years to earn another 8,000. But the final payment isn't paid until the end of the 17th year. Until that moment, you've only collected 7,680. Then, at the end of the 17th year, you get the payment that brings the interest to a total of 8,160. Note that if the interest had only compounded annually ... you leave the interest in the account, and at the end of next year, 6% is paid on the total in the account ... it would double in only 12 years.
How much would 900 invested at 6 percent interest compounded continuously be worth after 4 years?
At 6% interest, the total amount of money increases by a factor of 1.06 (100% + 6%) every year, so to get the amount after 4 years, you calculate 900 x 1.064.
What does quarterly mean in compounded interest?
It means that the interest is paid out every three months (quarter year). That means that the interest paid out after 3 months is earning interest for the remaining nine months. The quarterly interest rate is such that this compounding is taken into account for the "headline" annual rate. As a result, if the quarterly interest is taken out, then the total interest earned in a year will be slightly less than the quoted annual rate.
How much would 300 invested at 7 interest compounded continuously be worth after 4 years Round your answer to the nearest cent. Do not include units in your answer.?
7% compound interest means that the amount of money increases, every year, by a factor of 1.07. After 4 years, you have 300 x 1.07^4.
How much would 120 invested at 6 percent interest compounded monthly be worth after 21 years Round your answer to the nearest cent?
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.
