Consider the mortgage loan of $150,000 at a nominal 6% yearly interest applied monthly at a rate of 0.5% per month. Monthly payments of $1,000 are being made on this loan. Determine how much is owed on this loan at the end of the first, second, third month and fourth months. Show the work that leads to your answers. Evaluate all expressions. How much is still owed after 5 years of payment

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?