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a peanut butter seller sells 250 bottles on average per week with a standard deviation of 42kg.the nsales are normally distributed.one one year how many weeks would record sales of less than 150 bottles
Let R be a binary relation on N × N defined by (w, x ) R (y, z) if and only if w = y and x ≤ z . Is R reflexive? Is R symmetric? Is R antisymmetric? Is R transitive?
While standing in line for the water fountain, Brian sees his lab partner 4 feet ahead of him and his best friend 7 feet to his right. Brian wants to go ask his lab partner a question, then go chat with his friend, and finally return to the water fountain line. How far will Brian have to walk in all? If necessary, round to the nearest tenth.
Voice Control Company has some issued shares for which the announced dividend is $7 and the dividend will grow at a rate of 6% for the next 5 years (Year1-5). From year 6 the growth rate will change to 8% and will continue thereafter. What is the current price of the share if the required rate of return rate is 10%?
If a person is asked to buy a share of a company where the dividend is expected 7$ next year and he is told that the growth rate is constant at 11% for the foreseeable future what will be the price of the share if the discount rate is 17%?
The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s office has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originally thought.
a) What is the test statistic?
b) What is the p-value?
c) What can you conclude at the 5% significance level?
2. The formula h(t) = -16t² + 32t + 80 gives the height b above the ground, in feet (ft), of an object thrown, at t = 0, straight upward from the top of an 80 ft building. What is the highest point reached by the object? How long does it take the object to reach its highest point?
1. The profit of a company is given by P(x) = 5 000 +1 000x-5x² where x is the amount (in thousands of pesos) that the company spends on advertising.
a. Find the amount x that the company has to spend to maximize its profit.
b. Find the maximum profit.
A brand new car has a list price of Ᵽ850,000.00. The car dealer is giving a trade discount of 10% and
requires a 20% down payment. The car dealer has an arrangement with a bank to finance the balance on the
car. The term of the loan is 5 years. The bank is charging an interest of 6% per annum.
a. Compute the net invoice price of the car.
b. Compute the down payment needed and the balance that will be financed by the bank.
c. How much will the monthly payment be? What portion of the monthly payment for the first month will go
to interest and principal? What about the second monthly payment?
.1.1 Use Euler’s method with step size h = 0.1 to approximate the solution to the initial valueproblem: y'=x y, y(1)=4, atthepointsx=1.1,1.2and1.3,correcttofivedecimal
places.
2.1.2 If the analytical solution to the initial value problem in (2.1.1) is
(4) y = 1 (x2 + 7), determine
4
the %Error in the numerical method where x =1.3
2.2 A chicken cools down from 100 °C to 60 °C within 10
