Justice earner $36 for mowing 3 lawns in his neighborhood. Write the equation that would represent the situation. Use x to represent the number of lawns mowed and y to represent the amount of money justice earned.

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.