Arecent study found that one's earnings are affected by the mathematics courses one has taken. in particular, compared to someone making $50,000 who had taken no calculus, a comparable person who had taken x years of calculus would be earning $50,000e0.195x. find the rate of change of this function at x

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

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?

Southeastern oklahoma state university's business program has the facilities and faculty to handle an enrollment of 2,000 new students per semester. however, in an effort to limit class sizes to a "reasonable" level (under 200 generally), southeastern's dean, holly lutze, placed a ceiling on enrollment of 1,600 new students. although there was ample demand for business courses last semester, conflicting schedules allowed only 1,440 new students to take business courses.the utilization rate for southeastern=%the efficiency rate for southeastern=%