To find the accumulated amount of an investment, you can use the formula A = P(1 + r)^n, where A is the accumulated amount, P is the initial investment (905), r is the annual interest rate (7%), and n is the number of years the investment is held for (4). A = 905(1 + 0.07)^4 = 1,286.55
To find the number of years of sales at a specific growth rate, you can use the formula n = log(Sf/Si) / log(1 + r), where n is the number of years, Sf is the final sales (54,207), Si is the initial sales (28,109), and r is the average annual growth rate (2.34%). n = log(54207/28109) / log(1 + 0.0234) = 15.3 years
To find the annual interest rate required for an investment to grow to a certain amount in a certain number of years, you can use the formula r = (F/P)^(1/n) – 1, where F is the final amount (65,800), P is the initial amount (3,795), and n is the number of years. r = (65800/3795)^(1/29) – 1 = 0.0951 or 9.51%
To find the accumulated sum of a stream of payments over a certain number of years at a certain interest rate, you can use the formula A = P(1 – (1+r)^-n) / r, where A is the accumulated sum, P is the payment amount (1,482), r is the annual interest rate (8.89%), and n is the number of payments (11). A = 1482(1 – (1 + 0.0889)^-11) / 0.0889 = 16,822.48
To find the present value of a stream of future cash flows, you can use the formula PV = C/(1 + r)^n, where PV is the present value, C is the cash flow amount (65,015), r is the annual interest rate (8.19%), and n is the number of years. PV = 65015 / (1 + 0.0819)^16 = $599,928.27
To find the accumulated value of a stream of cash flows that are reinvested at a certain interest rate, you can use the formula FV = C(1 + r)^n, where FV is the future value, C is the cash flow amount, r is the annual interest rate (5.4%), and n is the number of years. The specific cash flow amounts would need to be provided in order to calculate the accumulated value of the investment.