Math Answers

If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted by a +b and a-b. Draw on another diagram the vector OE denoted by a + 2b.

Write and solve an equation to find the value of the variable.

5.2, 8.3, 8.5, 7.7, 7.8, y; mean = 7.1

Discussion Assignment

Let f(x)=\sqrt(x) with f: \mathbb{R} \to \mathbb{R}. Discuss the properties of f. Is it injective, surjective, bijective, is it a function? Why or why not? Under what conditions change this?

Explain using examples.

6 years ago on Olwethu lent happy 150,000 on condition that you will pay her back in 9 years time. The applicable interest rate is 15.5% per year compounded mothly.Happy also owes Olwethu another amount of 250,000 that he has to pay back six years from now for a loan that earned interest at 16.4% per year compounded semi-annually.happy asks Olwethu if he can settle both his debts three years from now.The total amount that happy will have to pay all way to 3 years from now is

The smart treasure fund was credited for Samson after he lost his leg in a battle with Pirates the fund was undertaken to pay him 1200000 now Samson prefers to receive three payments one 3 years from now: one twice the size of the first payment 6 years from now, and one four times the size of the first payment 10 years from now. The amount of money to the nearest rent that Samson can expect to receive 6 years from now if the interest rate applicable is 8.6% per year compounded quarterly will be?

Assume a significance level of a = 0.1 and use the given information to complete parts A and B below.

original claim: The mean pulse rate and beats per minute of the certain group of adult males 72 bpm. The hypothesis test results in a P value of 0.0042

A company is considering an investment proposal to install new milling controls. The project will cost Kshs 50,000,000. The facility has a life expectancy of five years and no salvage value. The company’s tax rate is 40%. The estimated cash flows from the proposed investment proposal are as follows:

Year CF Kshs 000

1 13,000

2 14,000

3 18,000

4 23,000

5 25,000

Compute:

a. Accounting Rate of Return (2Marks)

b. Discounted payback period at 6% discounting factor (4 Marks)

c. Net present value at 15% discounting factor and advise management on the project’s feasibility ( 4 Marks)

Suppose the production cost is R 18925,labour cost is and equipment renting fee is R250,determine the number of devices produced

4. The factory makes rulers (like the one in the picture above). Because they use older machinery, there is variability in marking on the ruler – the mean length (distance between 0 and 30 marks) is 30 cm, but it’s normally distributed with the standard deviation of 3 mm.

a. What proportion of the rulers are longer than 30 cm? Show your work. (1)

b. What proportion of the rulers are longer than 30.3 cm? Show your work. (1)

c. Any ruler longer than 30.5 cm or shorter than 29.5 cm are thrown away. What proportion of the rulers is thrown away? Show your work. (1)

d. If 40,000 rulers were made, how many would be thrown away? Show your work. (1)

1.     Suppose we know that 70% of all Canadians have or had a pet in their household. A researcher takes a simple random sample of 20 Canadians. What is the probability that at least 9 people in the sample have never had a pet in their household? Explain how you got the number. (2)