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Suppose 40 people have heard a rumour by 8am in a town of 9,000 people. Assume that the spread of the rumour follows the logistic equation, dP/dt=kP(1-P/C)
a) Given that 100 people have heard the rumour by 12 noon, determine how long it takes for half the population to have heard the rumour. Enter your answer in hours rounded to exactly one decimal place?
b) How many people have heard it by 8pm? (Hint: You must round your answer down to get the appropriate integer.)?
A major airline is planning to purchase new airplanes. It wants to borrow $800 million by issuing bonds. The bonds are for a 10-year period with simple interest computed quarterly at a rate of 2 percent per quarter. Interest is to be paid each quarte..
the area of a rectangular room is 392 feet squared. the length is twice the width. what are the dimensions of the room?
Find the average velocity over the given time intervals
PizzaThe probability that a customer selects a pizza with mushrooms or pepperoni is 0.43, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability ..
There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
Greg drove at a constant speed in a rainstorm for 245 miles. He took a break, and the rain stopped He then drove 104 miles at a speed that was 3 miles per hour faster than his previous speed. If he drove for 7 hours, find the car's speed for each ..
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
What international trade issues have been in the news recently? What views are presented by different interest groups in trade debates? Are there any issues that particularly affect your community?
Kathy bicycles 8 km/h faster than Javier. In the same time, it takes Javier to bicycle 45km, Kathy can bicycle 69km. How fast does each bicyclist travel?
Perform the indicated operations and write your result in lowest terms and what fraction of the parasitic infections were heartworm parasites?
If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
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