A natural history museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Some of the money is borrowed at 5%, some at 6.5%, and some at 7.5%. Use a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $117,000 and the amount borrowed at 6.5% is four times the amount borrowed at 7.5%. Solve the system of linear equations using matrices.

Pettijohn inc. the balance sheet and income statement shown below are for pettijohn inc. note that the firm has no amortization charges, it does not lease any assets, none of its debt must be retired during the next 5 years, and the notes payable will be rolled over. balance sheet (millions of $) assets 2016 cash and securities $ 1,554.0 accounts receivable 9,660.0 inventories 13,440.0 total current assets $24,654.0 net plant and equipment 17,346.0 total assets $42,000.0 liabilities and equity accounts payable $ 7,980.0 notes payable 5,880.0 accruals 4,620.0 total current liabilities $18,480.0 long-term bonds 10,920.0 total debt $29,400.0 common stock 3,360.0 retained earnings 9,240.0 total common equity $12,600.0 total liabilities and equity $42,000.0 income statement (millions of $) 2016 net sales $58,800.0 operating costs except depr'n $54,978.0 depreciation $ 1,029.0 earnings bef int and taxes (ebit) $ 2,793.0 less interest 1,050.0 earnings before taxes (ebt) $ 1,743.0 taxes $ 610.1 net income $ 1,133.0 other data: shares outstanding (millions) 175.00 common dividends $ 509.83 int rate on notes payable 1. what is the firm's current ratio? (points : 6) 0.97 1.08 1.20 1.33 2. what is the firm's quick ratio? (points : 6) 0.49 0.61 0.73 0.87 3. what is the firm's total assets turnover? (points : 6) 0.90 1.12 1.40 1.68 4. what is the firm's inventory turnover ratio? (points : 6) 4.38 4.59 4.82 5.06 5. what is the firm's debt ratio? (points : 6) 45.93% 51.03% 56.70% 70.00% 6. what is the firm's roa? (points : 6) 2.70% 2.97% 3.26% 3.59% 7. what is the firm's roe? (points : 6) 8.54% 8.99% 9.44% 9.91%

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.

Kelso electric is debating between a leveraged and an unleveraged capital structure. the all equity capital structure would consist of 40,000 shares of stock. the debt and equity option would consist of 25,000 shares of stock plus $280,000 of debt with an interest rate of 7 percent. what is the break-even level of earnings before interest and taxes between these two options?