As an employee in the Lottery Commission, your job is to design a new prize. Your idea is to create two grand prize choices: (1) receiving $50,000 at the end of each year beginning in one year for 20 consecutive years, or (2) receiving $500,000 today followed by a one-time payment at the end of 20 years. Using an interest rate of 6%, which of the following comes closest to the amount prize (2) needs to pay at the end of year 20 in order that both prizes to have the same present value? a. $ 326,649
b. $ 440,463
c. $ 114,932
d. $ 393,342
e. $ 235,712

The monthly payment m of a loan of amount p for y years with an interest rate r can be calculated by the formula: m = p(r/12) 1 â’ (1 + r/12)â’12y calculate the monthly payment and the cummulative total payment for a $100,000 loan with an interest rate of 4.85% if taken out for 10 years, for 11 years, etc., up to a 30 year term. display the results in a three-column table where the first column is the number of years, the second is the monthly payment, and the third is the cummulative total payment. note: use format bank; for this problem. also, remember to represent the interest rate as a decimal (e.g. 0.0485) 2. a torus-shaped water tube is designed to have a volume of 8, 000in3 . the volume of the tube, v , and its surface area, s, are given by: v = 1 4 ď€ 2 (a + b)(b â’ a) 2 s = ď€ 2 (b 2 â’ a 2 ) if a = kb, determine s, a, and b for k = 0.2, 0.3, 0.7. display the results in a table

Describe the three different ways the argument section of a cover letter can be formatted

Performance bicycle company makes steel and titanium handle bars for bicycles. it requires approximately 1 hour of labor to make one handle bar of either type. during the most recent accounting period, barr company made 7,700 steel bars and 2,300 titanium bars. setup costs amounted to $35,000. one batch of each type of bar was run each month. if a single company-wide overhead rate based on direct labor hours is used to allocate overhead costs to the two products, the amount of setup cost assigned to the steel bars will be: