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Suppose 50 people have heard a rumour by 8am in a town of 3,000 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.)
The 8.5 percent annual coupon bonds of the ABC Co. are selling for $1,179. The bonds mature in 12 years. The bonds have a par value of $1,000. If the tax rate is 30%, what is the after-tax cost of debt?
the daily weather is given in the Celsius scale. Use the table to find a way to convert temperatures from the Celsius to the Fahrenheit scale.
Find the x-value(s) of the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) 3x5 - 80x3 + 12.
Deduce that Pne-na converges for any a 0. Prove that the series Pe-nx+cos(nx) is defined, continuous and differentiable (with a continuous derivative) on (a,8) for any a 0.
Should gun manufacturers have a duty to warn gun users of the dangers of using a gun? Would such a warning be effective in preventing gun related accidents?
Plot the component graph of C(t) for various choices of C0 and various values of S0 around this threshold level to see the growth and decline of C. Plot for 50 days. For which values do most of the population get ill?
Math problem, After visiting his doctor,allen went to the pharmacy for a(n) 8 day supply of drug A,a(n)24 day supply of drug B and a(n) 15 day supply of drugC and how long will it be untill he can fill all three prescription same day?
Which coders are concerns and why? List each one that you are concerned with and be specific on what part of the policy is in question. Which coder(s) do you need to create an education plan for
Complete the table above so that you can show the Jackson's what their expected payoff is.2. Assuming that they have this $10,000 currently invested in low yield market funds that at the end of 3 years will be worth $12,200, Probability and Expecte..
The director of admissions at a large university says that 15% of high school juniors to whom she sends university literature eventually apply for admission. IN a sample of 300 persons to whom materials were sent,30 students applied for admission..
Find the median of the following data and Summarize the data by constructing a frequency distribution and a relative frequency distribution, using intervals shown
what area can it cover?
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