Mwangi wants to download songs and lectures on his smartphone. he plans to download at least 30 songs and
lectures (condition a), but he can download at most 300 megabytes of data (condition b).
the graph represents the constraints on the number of songs s and lectures l mwangi downloads.

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: