You’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They’ve offered you two different salary arrangements. You can have $7,100 per month for the next three years, or you can have $5,800 per month for the next three years, along with a $31,500 signing bonus today. Assume the interest rate is 5 percent compounded monthly. a. If you take the first option, $7,100 per month for three years, what is the present value?

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?