Can you please explain me this question? Thanks!

Anette made deposits of $2000 at the beginning of every three months for seven years into an investment fund that was earning 7.2% compounded quarterly. She left the money in the fund for another three years to accumulate interest. If the fund was earning the same interest rate during the entire time period, what was the amount of interest earned on her investment during the term?

Nara inherits a perpetuity from her grandfather that will pay here $2000 today and every year forever. The annual interest rate is 3%.

a) How much is Nara's inheritance worth?

Nara decides to sell the perpetuity (for its present value) and instead buy an annuity due paying $P for the next 22 years.

b) What is $P?

She changes her mind again, and decides instead on an annuity due paying $4000 per year for n years, except for the last (nth) payment which is a drop payment.

c) What is n?

d) What is the amount of the final payment?

You have the following information about a company.

·       Sales in 2019 were £2000 million. Sales are expected to grow at a rate of 15% in 2020, and afterwards the growth rate will drop to 3%.

·       EBIT margin is expected to stay constant at 15%.

·       The corporate tax rate is 40%.

·       Net working capital each year is expected to stay constant at 10% of next year's sales.

·       To generate sales growth, each year t, capital expenditure net of depreciation (i.e., Capex- Depreciation) is expected to be 1/3 of the sales increase from year t to year t+1.

·       The debt-to-equity ratio (D/E) of the company is expected to stay constant at 1/2 and its equity cost of capital is 15%.

·       The firm has perpetual bonds outstanding with a coupon rate of 9% paid annually. The bonds are currently selling at par and have a AAA credit rating.

Question: Compute the value of the company at the beginning of 2020 using the WACC method. You may assume that all cash flows occur at the end of each year.

Calculate the future value of $2000 invested at 5% annual simple interest rate over a period of 5 years

5% annual interest rate compounded yearly over a period of 5 years where the is no withdrawal from the account

5% annual interest rate compounded semiannually over a period of 5 years when there is no withdrawal from the account.

When we gain more? Explain why?

Question 1

A copper tube having a cross-sectional area of 2000 mm² and length of 300 mm is placed between two rigid caps. Four 22 mm diameter steel bolts are symmetrically arranged parallel to the axis of the tube and are lightly fastened. Calculate:

1. The stress in the tube if the temperature of the assembly is raised by 70⁰C.
2. The load each bolt will carry at the raised temperature.                                  

            E_ST = 200 GPa;   α_ST = 12 x 10^-6 / ⁰C         

           E_CU = 100 GPa;   α_CU = 16 x 10^-6 / ⁰C

Q3: A study followed a population of 2000 women aged over 65 years for 10 years and measured the number of cases of osteoporosis diagnosed during that time period. The investigators were interested in the effect of regular exercise on the development of osteoporosis and divided he women into two groups: 1000 women who took regular exercise and 1000 women who did not take regular exercise. The investigators recorded 800 new cases of osteoporosis over the 10 years of the study, 300 in those who took regular exercise and 500 in those who did not. The number of person years at risk was 8350 in those who exercised regularly and 6950 in those who did not. Calculate (i) the risk ratio and (ii) the rate ratio for the effect of regular exercise on osteoporosis in these women. Interpret your answer. (4pts)

Sally was hired at an annual salary of $60,000 on 1/1/20.   She elected to contribute $2000 to her Flexible Spending Account (FSA) and her employer contributed $500 to the plan. She contributed $5,000 to the company’s 401(k) plan and the company contributed $2500.   In addition, she contributed $100 from her payroll to the local United Way campaign. Compute the amount of her 2020 compensation that is subject to FICA taxes and the amount subject to income taxes.

A start-up company has 2000 investors, that company loses investors at a rate of 10 per year. Every time the company loses an investor, the company gets a loss of $200,000. For every investor that remains the company makes a profit of $2,000. Let F be the total earnings the company makes in a year, and X be the number of investors the company loses.

1)Write a function that calculates yearly earnings F as a function of X

2)Find P(F < 0), the probability that earnings are negative

3)E[F]

4)What is the probability that the company loses exactly 5 investors in a given year, given that they have not lost any investors in the first half of the year