Question

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 Normal distributions ANSWERED asked 2021-06-24 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 $$u_{0}=5000,u_n$$ is the current month's balance, and $$u_{n−1}$$ is last month's balance, write an expression for un in terms of $$u_{n−1}$$.

We know from item 10 that: (Account balance any month=$$u_n$$)=(account balance the month before=$$u_{n-1}$$)$$\times1.0025+200$$
So, the equation becomes: $$\displaystyle{u}_{n}={u}_{n-1}\cdot{1.0025}+{200}$$