You and your partner plans to set up a scholarship for a local high school. Starting one year from now, the business will give $2500 to one eligible student each year for ten
years. How much money must the business invest today at 6.8% per year, compounded
monthly, to provide the scholarship fund?

If 3x+8=3x+8 is it one solution or no solution

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.