In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 9% per day. Determine the mass of the radioactive sample at the beginning of the 17th day of the experiment. Round to the nearest tenth (if necessary).

How many solutions does the nonlinear system of equations graphed bellow have?

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?

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?