6 percent.
The following values show what the value will be after every year, to two decimal places, given an annual compound interest rate of 6 percent.
Original rate: 400
After 1 year: 424
After 2 years: 449.44
After 3 years: 476.41
After 4 years: 504.99
After 5 years: 535.29
After 6 years: 567.41
After 7 years: 601.45
After 8 years: 637.54
After 9 years: 675.79
After 10 years:716.40
Approximately 7 years. The general rule is to divide 70 by the interest rate to get an approximation of how long it will take to double. If the interest is compounded annual you will have $194.88 after 7 years, and $214.37 after 8 years. Though if interest is compounded more regularly (ie. monthly or daily) this will grow at a slightly faster rate.
59.91
"Continuously" is exactly how this question arrives on WikiAnswers. Someone has distributed an exam or a homework assignment with a poorly written question on it, and a lot of people are coming here to get the answer. WikiAnswers is not here to answer exam or homework questions. But the best response to this one isn't a numerical 'answer'. It's this: There's no such thing as "compounded continously", even if the spelling were corrected. The compounding interval must be specified, no matter how short it may be. Popular compounding intervals include: Annually, semi-annually, quarterly, monthly, weekly, or daily. Technically, it could even be hourly, or minutely, but it has to be specified. Compounding is a discrete process, and can never proceed "continuously".
Use the equation $=$0*(1 + r)xn where $ is the amount of money, $0 is the initial amount of money, r is the rate, x is the number of times per year the interest is compounded, and n is the number of years the interest is compounded. We are solving for n. To do this we need to use logs. log(1 + r)($/$0)/x = n log1.08(5006/1000)/12 = n = 1.744 years.
Continuous interest formula, A = Pe^(rt)....where A is the accumulated amount, P is the initial investment, r is the interest rate expressed as a decimal, and t is the time - usually in years. Then, A = 6000e^(0.085 x 6) = 6000e^0.51 = 9991.75 So the growth amount is, 9991.75 - 6000.00 = 3991.75
4 years exactly.
n=? PV=-$200 FV=$544 i=8% it will take 13 yrs
If the annual equivalent rate of interest is 8.5 percent then it makes no difference how frequently it is compounded. The amount will grow to 9788.81 On the other hand 8.5 percent interest daily is equivalent to 8.7 trillion percent annually! If my calculation is correct, after 6 years the amount will have grown to 2.85*10198 (NB 10200 = googol squared).
Approximately 7 years. The general rule is to divide 70 by the interest rate to get an approximation of how long it will take to double. If the interest is compounded annual you will have $194.88 after 7 years, and $214.37 after 8 years. Though if interest is compounded more regularly (ie. monthly or daily) this will grow at a slightly faster rate.
59.91
in 8 years it wll be 107.179
48.51 years, approx.
The question doesn't tell us the compounding interval ... i.e., how often theinterest is compounded. It does make a difference. Shorter intervals makethe account balance grow faster.We must assume that the interest is compounded annually ... once a year,at the end of the year.1,400 x (1.055)3 = 1,643.94 (rounded)at the end of the 3rd year.
12
Using the continuous compounding formula, the investment will take approximately 15.3 years to grow to 700.
"Continuously" is exactly how this question arrives on WikiAnswers. Someone has distributed an exam or a homework assignment with a poorly written question on it, and a lot of people are coming here to get the answer. WikiAnswers is not here to answer exam or homework questions. But the best response to this one isn't a numerical 'answer'. It's this: There's no such thing as "compounded continously", even if the spelling were corrected. The compounding interval must be specified, no matter how short it may be. Popular compounding intervals include: Annually, semi-annually, quarterly, monthly, weekly, or daily. Technically, it could even be hourly, or minutely, but it has to be specified. Compounding is a discrete process, and can never proceed "continuously".
Use the equation $=$0*(1 + r)xn where $ is the amount of money, $0 is the initial amount of money, r is the rate, x is the number of times per year the interest is compounded, and n is the number of years the interest is compounded. We are solving for n. To do this we need to use logs. log(1 + r)($/$0)/x = n log1.08(5006/1000)/12 = n = 1.744 years.