Mark wants to be a millionaire by the time he retires at age 65. he assumes there is a 6% annual interest rate. if he starts saving at age 20, he will need to invest $4,700 each year. if he starts saving at age 30, he will need to invest $9,000 each year. how much more money will mark have to save if he starts saving at age 30 instead of age 20? a) $150,500 b) $103,500 c) $43,000 d) $4,482

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?