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An investment is represented by the equation A(t)=10,250(1+ 0.04/12)120
How many years has the account been accumulating interest?
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- An investment becomes P 4,500,000 four years from now and becomes P 5,250,000 thirteen years from now. a. Assuming rate of compounded interest remains constant through time, what was the investment's value on the present time? b. What rate of interest compounded quarterly is equivalent to the interest rate of the given investment? c. What rate of interest compounded monthly is equivalent to the interest rate of the given investment?To calculate how many years (n) an investment (P) must be kept in an account that earns interest at i%, in order to triple in amount, which of the following expressions should be used? (a) n = -P + F(P/F, i%, n) (b) n = [log (F/P)]/[log (1+ i%)] (c) n = [ In(– P +F)]/[In i%] (d) n = -F(1 + i%)Panswer if its true or false 1) Based on the following information calculate the value at time 2 of the investment made at time zero. This future value is equal to 113. discount time investment (years) rate 6% 100 1
- answer if its true or false Based on the following information calculate the value at time 2 of the investment made at time zero. This future value is equal to 108. time discount investment (years) rate 8% 100 1 2An investment accumulates at a force of interest δt = 0.01t / (3 + 0.01t^2) . Find the present value at time t = 0 of $3,900 due at the end of 7.5 year.answer if its true or false 1) Based on the following information calculate the value at time 1 of the investment made at time zero. This future value is between 103 and 105. time discount investment (years) rate 6% 100 1
- You have been depositing money into an account yearly based on the following investment amounts, rates and times. What is the value of that Investment account at the end of that period?A customer is offered an investment where interest is calculated according to the force of interest,t {0.02t 0 ≤ t ≤ 3, 0.045 t > 3If the customer invest GH¢1000 now, what rate of interest, compounded quarterly is earned over the first 4 year period.What interest rate compounded continuosly did a $15000 investment earn if it accumulated to $18000 in 5 year?
- Compute the number of years (t) if future value (FV) = $5575, present value (FV) = $1812, and interest rate (r) = 9.1%,For each of the following situations involving single amounts, solve for the unknown (?). Assume that interest is compounded annually. (i = interest rate, and n = number of years) Present Value Future Value i n1. ? $ 40,000 10% 52. $ 36,289 65,000 ? 103. 15,884 40,000 8 ?4. 46,651 100,000 ? 85. 15,376 ? 7 20Example 1. Compound interest When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal); that is, dx/dt = rx. (a) If $2000 is invested at 8%, compounded continuously, find an equation for the future value of the investment as a function of time t, in years. (b) How long will it take for the investment to double? (c) What will be the future value of this investment after 35 years?