Developing the annual budget a. usually begins on the first day of the prior year. b. usually begins on the first day of the fiscal year. c. usually begins several months prior to the end of the current year. d. is not necessary.

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 = $

Your uncle is considering investing in a new company that will produce high quality stereo speakers. the sales price would be set at 1.5 times the variable cost per unit; the variable cost per unit is estimated to be $75.00; and fixed costs are estimated at $1,200,000. what sales volume would be required to break even, i.e., to have ebit = zero?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.