Morgan Bowie is trying to determine the amount to set aside so that he will have enough money on hand in 5 years to overhaul the engine on his vintage used car. While there is some uncertainty about the cost of engine overhauls in 5 years, by conducting some research online, Morgan has developed the following estimates.

Engine Overhaul Estimated Cash Outflow Probability Assessment
$350 10%
470 30%
700 50%
930 10%

How much should Morgan Bowie deposit today in an account earning 9%, compounded annually, so that he will have enough money on hand in 5 years to pay for the overhaul?

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 = $

Interest is credited to a fixed annuity no lower than the variable contract rate contract guaranteed rate current rate of inflation prime rate

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.