you play a gambling game with a friend in which you win 25% of the time and lose 75% of the time. when you lose, you lose $1. what profit should you earn when you win, in order for the game to be fair?

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.

How much are you willing to pay for a zero that matures in 10 years, has a face value of $1,000 and your required rate of return is 7%? round to the nearest cent. do not include a dollar sign in your answer. (i.e. if your answer is $432.51, then type 432.51 without $ sign)

Xinhong company is considering replacing one of its manufacturing machines. the machine has a book value of $39,000 and a remaining useful life of 5 years, at which time its salvage value will be zero. it has a current market value of $49,000. variable manufacturing costs are $33,300 per year for this machine. information on two alternative replacement machines follows. alternative a alternative b cost $ 115,000 $ 117,000 variable manufacturing costs per year 22,900 10,100 1. calculate the total change in net income if alternative a and b is adopted. 2. should xinhong keep or replace its manufacturing machine