Suppose a runner completes one lap around a 400-m track in a time of 50 s. calculate the magnitude of the average velocity of the runner. express your answer in meters per second to the nearest integer.

Betsy a recent retiree require $6000 per year in extra income she has a $50,000 to invest and can invest in B rated bonds paying 17% per year or in a certificate of deposit paying 7% per year how much money should be invested in each to realize

What's the slope perpendicular line of 4x + 6y = 8

solve the equation r/3 - 4 = 11

If the shirts are originally priced at $28.99 and $30.29 and there is 6% sales tax, how much does Marcus end up paying for them?

Use Euclid's division lemma to show that the square of any positive integer of the form 3m or 3m+1 for some interger q?

Solve the differential equation by variation of parameters, subject to the initial conditions y (0) = 1, y' (0) = 0. 9y'' - y = xex/3

Joey rolls a regular number cube. What's the chance he rolls an even number? Record your answer as a simplified fraction using "/" as your fraction key.

You are playing a game and it is your turn to spin the spinner shown. There are four possible results: blue, green, yellow, or purple. What is the probability that you land on purple?

seventy percent of the 100 students in a middle school cafeteria bought their lunch. Some of the students that bought their lunch leave the cafeteria to attend an assembly. Now only 60% of the remaining students bought their lunch.

Before his basketball game, Jessie is responsible for cleaning the visiting teams team's half of the court. Three of his teammates are responsible for cleaning the home teams half of the court.