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- Pro forma income statement, in won (millions) sales (1,000,000 @ 5,000 won/set)............. 5,000 costs..............................................................(4,000) labor-skilled....................................(1,700) raw materials: imported (duty-free)......................(1,000) local.................................................(500) overhead..........................................(300) interest.............................................(500) profit (before tax) 10%........................1,000 if the won devalues, from w484/$ to w580/$, recompute the statement assuming domestic sales remain the sameAn assessee depreciated the machinery of his factory by 10% each in the first two years and by 40% in the third year and thereby claimed 21% average depreciation relief from taxation department, but the I.T.O. objected and allowed only 20% Show which of the two is right.11. Suppose you make an annual contribution of P150,000 to your savings account at the beginning of each year for five years. If your savings account earns 8.2% interest annually, how much 150. money is in your account at the end of five years? A. P955,953.83 C. P987,563.25 B. P856,458.25 D. P883,506.31 12. What is the length of the latus rectum of the parabola y² - 28x + 16y - 48 = 0? A. 32 C. 28 B. 24 D. 36 13. The diameters of two spheres are in the ratio 3:4. What is the ratio of their curved surface areas: A. 0.658 C. 0.563 B. 0.422 D. 0.724
- 2. An annuity provides a payment of n at the end of each year for n years. What is the present value of the annuity if the annual effective rate of interest is 1/n?James has an investment worth $175,609.50. The investment will make a special payment of X to James in 1 month from today and the investment also will make regular, fixed monthly payments of $1,440.00 to James forever. The expected return for the investment is 1.23 percent per month and the first regular, fixed monthly payment of $1,440.00 will be made to James in one month from today. What is X, the amount of the special payment that will be made to James in 1 month? An amount less than $58,600.00 or an anmount greater than $179,600.00 An amount equal to or greater than $58,600.00 but less than $88,950.00 An amount equal to or greater than $88,950.00 but less than $146,400.00 An amount equal to or greater than $146,400.00 but less than $176,000.00 O An amount equal to or greater than $176,000.00 but less than $179,600.00 Com SHEMAA company is considering introducing a new product, which will require buying new equipment for a fixed monthly payment of $5,000. The product can be sold for $20.00 each. Irvin incurs a variable cost of $10.00 per unit. The company intends to sell 100 units of the new product next month and they would like to realize a monthly profit of $5000. The company will realize the expected profit at the current selling price. True or False
- 2. Find the rate of interest i such that a 20-year annuity with payments at the end of each year has the accumulated value which is exactly three times as much as the accumulated value of a 10-year annuity with payments at the end of each year.Please do the following questions with full handwritten working outThere is a 0.9984 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $159 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.)
- 5. Martina's employer offers anannual pension benefit calculated by multiplying 2.35% of the career average salary times the number of years employed. Here are Martina's annual salaries over the last 24 years of employment. 28,800 29,300 30,250 31,000 35,500 42,000 45,000 50,000 28,800 29,900 30,350 35,000 35,700 43,000 48,000 52,000 29,210 29,900 30,450 35,000 38,000 43,900 48,800 52,000 a. What is Martina's career average salary? b. What is Martina's annual pension under this plan? c. What percentage of her final annual salary will her annual retirement salary be to the nearest percent? d. What is Martina's monthly pension benefit to the nearest penny?There is a 0.9991 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $166 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.) b. If the 33-year-old male purchases the policy, what is his expected value? The expected value is $ (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $ on every 33-year-old male it insures for 1 year. (Round to the nearest cent as needed.)Suppose that on January 1 you have a balance of $4700 on a credit card whose APR is 18%, which you want to pay off in 4 years. Assume that you have no additional charges after Jan 1st. a. The monthly payment is? b. The total paid since Jan 1 is c. percentage of total paid that is interest is?
