Muzafer sherif's work with 11-year-old boys at a summer camp demonstrated that:

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Grey company holds an overdue note receivable of $800,000 plus recorded accrued interest of $64,000. the effective interest rate is 8%. as the result of a court-imposed settlement on december 31, year 3, grey agreed to the following restructuring arrangement: reduced the principal obligation to $600,000.forgave the $64,000 accrued interest.extended the maturity date to december 31, year 5.annual interest of $40,000 is to be paid to grey on december 31, year 4 and year 5. the present value of the interest and principal payments to be received by grey company discounted for two years at 8% is $585,734. grey does not elect the fair value option for reporting the debt modification. on december 31, year 3, grey would recognize a valuation allowance for impaired loans of

U.s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.