You just won a state lottery! The lottery offers you a choice: you may choose a lump sum today, or $89 million in 26 equal annual installments at the end of each year. Assume the funds can be invested (yield) at an annual rate of 7.65%. What is the lump sum that would equal the present value of the annual installments

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

Identify and describe a variety of performance rating scales that can be used in organizations including graphical scales, letter scales, and numeric scales.

Gary lives in an area that receives high rainfall and thunderstorms throughout the year. which device would be useful to him to maintain his computer?