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To deliever a pakcage, a messenger must travel at a speed of 60 mi/h on land and then use a motorboat whose speed is 20 mi/h in still water. The messenger goes by land to a dock and then travels on a river against a current of 4 mi/h. He reaches the destination in 4.5 hours and then returns to the starting point in 3.5 hours. How far did the messenger travel by land and how far by water?
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.
Find the velocity, speed and acceleration of the vector-valued function: Vector r = cost i + sint j - 16t^2 k at t=pi/4
An automobile manufacturer finds that 80,000 cars can be sold if each is priced at $12,000. However, the number sold increases by 25 for every $2 decrease in the price. The manufacturer has fixed costs of $45,000,000; in addition, it costs $5,500 ..
a telemarketer must call 157 U.S. phone numbers every shift to meet their quota. How many buttons will have to be pushed to mke 157 long distance calls?
Hypothesis test for regression
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
Find the number of hours that represent the 40 percentile.
In an election between two candidates, 570 votes were cast. If the winner received 230 more votes than the loser, how many votes did the loser receive?
What is the probability that Julio will win? If Jan didn't win, what is the probability that Julio did?
Out of 5000 policies for cell phones, a company received 585 claims. The average amount paid on the claims was $80. If the annual cost of the policy was $48, what was a customer's expected value of the cell phone insurance policy?
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