Maurice \(u_{0}=5248.47\)

\(u_{n}=1.0025\ u_{n}-1+500\)

Lester \(u_{o}=10249.35\)

\(u_{n}=1.0025\ u_{n}-1+250\)

asked 2021-05-02

asked 2021-06-24

asked 2021-08-15

asked 2021-08-16

Maurice and Lester are twins who have just graduated from college. They have both been offered jobs where their take-home pay would be $2500 per month. Their parents have given Maurice and Lester two options for a graduation gift. Option 1: If they choose to pursue a graduate degree, their parents will give each of them a gift of $35,000. However, they must pay for their tuition and living expenses out of the gift. Option 2: If they choose to go directly into the workforce, their parents will give each of them a gift of $5000. Maurice decides to go to graduate school for 2 years. He locks in a tuition rate by paying $11,500 for the 2 years in advance, and he figures that his monthly expenses will be $1000. Lester decides to go straight into the workforce. Lester finds that after paying his rent, utilities, and other living expenses, he will be able to save $200 per month. Their parents deposit the appropriate amount of money in a money market account for each twin. The money market accounts are currently paying a nominal interest rate of 3 percent, compounded monthly. Lester works during the time that Maurice attends graduate school. Each month, Lester saves $200 and deposits this amount into the $5000 money market account that his parents set up for him when he graduated. If Lester's initial balance is u0=5000,un is the current month's balance, and un−1 is last month's balance, write an expression for un in terms of un−1.

asked 2021-05-25

Assume that all the distributions are normal, average is always taken to be the arithmetic mean \(\bar{x}\) or \(\mu\). A college Physical Education Department offered an Advanced First Air course last semester. The scores on the comprehensive final exam were normally distributed, and the the z scores for some of the students are shown below:

Robert, 1.10

Juan, 1.70

Susan, -2.00

Joel, 0.00

Jan, -0.80

Linda,1.60

Which of these students scored below the mean?

asked 2021-07-01

The college physical education department offered an advanced first aid course last semester. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below: Robert, 1.10 Juan, 1.70 Susan, -2.00 Joel, 0.00 Jan, -0.80 Linda, 1.60 If the mean score was μ=150μ=150 with standard deviation σ=20,σ=20, what was the final exam score for each student?

asked 2021-05-18