y = ln(3)/ln(1.0575) = 19.65 years, approx.
There is no such thing as "compounded continuously". No matter how short it may be, the compounding interval is a definite amount of time and no less.
$491
Matt will have $2,298.65.
(1 + .07/4)4x = 3 4x log(1+.07/4) = log(3) x = 0.25 log(3)/log(1.0175) = 15.83 The amount of the original investment doesn't matter. At 7% compounded quarterly, the value passes triple the original amount with the interest payment at the end of the 16th year.
Semiannually over two years is equivalent to 4 periods. If the interest is 12% every 6 months, then the amount of interest is It is 8000*[(1.12)4 -1] =4588.15
There is no such thing as "compounded continuously". No matter how short it may be, the compounding interval is a definite amount of time and no less.
74 or 75 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.
$491
The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.
249.88 dollars
If compounded and assuming the amount was 3180 dollars, it would be 784 dollars.
Principal amount 5,000 Interest rate 9 percent per year = 0.09 Continuous compounding Number of years 7 Future value = P e^rt Future value = (5000) e^(0.09)(7) Amount after 7 years = $9,388.05
750 invested for 10 years at 10% pa would be 1,945
I haven't gotten the answer to that test question either....the choices seem wrong
Matt will have $2,298.65.
The rate is 15.56%. The amount invested is irrelevant in this calculation.