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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 = $

Select the correct answer the smith family adopted a child. the adoption procedure took about three months, and the family incurred various expenses. will the smiths receive and financial benefit for the taxable year? a) they will not receive any financial benefit for adopting the child b) their income tax component will decrease c) they will receive childcare grants d) they will receive a tax credit for the cost borne for adopting the child e) they will receive several tax deductions

When a shortage or a surplus arises in the loanable funds market a. the supply of loanable funds changes to return the economy to its original real interest rate b. the nominal interest rate is pulled to the new equilibrium level c. the demand for loanable funds changes to return the economy to its original real interest rate d. the real interest rate is pulled to the new equilibrium level