Krista has a total of $15,000 to invest. she invests part of the money into an account that pays 3.5% interest and the rest into an account that pays 5.5% interest. if the combined interest in the first year was $695, then how much money did she invest into each account?

Zeta corporation is a manufacturer of sports caps, which require soft fabric. the standards for each cap allow 2.00 yards of soft fabric, at a cost of $2.00 per yard. during the month of january, the company purchased 25,000 yards of soft fabric at $2.10 per yard, to produce 12,000 caps. what is zeta corporation's materials price variance for the month of january?

An allergy products superstore buys 6000 of their most popular model of air filters each year. the price of the air filters is $18. the cost of ordering and receiving shipments is $12 per order. accounting estimates annual carrying costs are 20% of the price. the supplier lead time is 2 days. the store operates 240 days per year. each order is received from the supplier in a single delivery. there are no quantity discounts. what is the store’s minimum total annual cost of placing orders & carrying inventory?

Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 3%. a mutual-fund rating agency randomly selects 27 months and determines the rate of return for a certain fund. the standard deviation of the rate of return is computed to be 2.19%. is there sufficient evidence to conclude that the fund has moderate risk at the alpha equals 0.05 level of significance? a normal probability plot indicates that the monthly rates of return are normally distributed.