Math Answers

Maximise 1170x1 + 1110x2

Subject to: 9x1 + 5x2 ≥ 500

7x1 + 9x2 ≥ 300

5x1 + 3x2 ≤ 1500

7x1 + 9x2 ≤ 1900

2x1 + 4x2 ≤ 1000

x1, x2 ≥ 0

-Find graphically the feasible region and the optimal solution.

brooke pays $239.52 for a car lease at the beginning of every quarter for 5 years and 9 month at 4.46% compounded quarterly what type of annuity is this

When pacific inc. Bid for a project with the government the company was offered the following two payment options

a) A payment of $540,000 at the end of 5 years. Which is the scheduled completion time for the project

b) $80,000 paid upfront at the beginning of the project and the balance payment in 5 years.

If the two payments are financially equivalent and the interest rate is 6.00%

Compounded quarterly. Calculate the balance payment offered in ( option b) round to the nearest cent

An investment of $ 18,000 is growing at 5% compunded quarterly

a) calculate the accumulated amount of this investment at the end of year 1 Round of the nearest cent

b) if the intrest rate changed to 3% compounded monthly of the year 1, calculated the accumulated amount of this investment at the end of year 2 round of the nearest cent

c) Calculate the total amount of interest earned from the investment during the 2 year- period round of the nearest cent.

Calculate the effective interest rate for each following normal interest rates

a) 3% compounded quarterly. Round to two decimal point

b) 3% compunded month. Round to two decimal point

a) You are provided with the following information relating to V ltd

Equity and liabilities

12% debentures (shs1000 at par) 16,000

10% preferences shares 6,250

Ordinary shares (Shs 10 par) 12,500

Retained earnings 28,125

Additional information

i. The debentures are currently selling at Shs 950 in the market

ii. Company paid a dividend of Shs 5.00 per ordinary share and they are expected to grow at a rate of 10% per annum.

iv. The corporation tax is 40%

Required

Effective Cost of debt (3 marks)

Cost of equity (3 marks)

Weighted Average cost of capital (4 marks)

What is the square rot of 17

Number of times the cards have the same value

Number of times both cards are faced card

The continuous compounding rate is 13,974% per year. The equivalent nominal rate, compounded quarterly, is