Assignment 1.2 Equations Find the value of the variable: 2. A/6 = 2 4. 2N + 4 = 12 8. 8A – 3A = 40 6. 2(x – 3) = 8 10. 12N + 5 – 7N = 45 12. Bottletree Bakery and Card Shop ordered an equal number of 12 different cards. If a total of 60 cards were ordered, how many of each type of card were ordered? 14. An inventory clerk is expected to have 2,000 fan belts in stock. If the current count is 1,584 fan belts, how many more should be ordered? Find the value of the variable: 16. Wallpaper costs $12.97 per roll and a kitchen requires 9 rolls. What is the cost of the wallpaper needed to paper the kitchen? 18. If 5 dozen roses can be purchased for $62.50, how much will 8 dozen cost? Find the value of the variable: 20. In the formula T = P – D, T represents total installment payments, P represents installment price, and D represents down payment amount. Find the installment price if the total of installment payments is $15,892.65 and the down payment is $3,973.16. 22. Solve the installment payment formula p = T/N for N. 5.1 Shiver Me Timbers Cape Fear Riverwood is a lumber company that specializes in recovering, cutting, and selling wood from trees discarded long ago, even those that have been underwater or buried in the ground for more than 100 years! Historically, the logging industry used rafts made of wood to transport cut trees to logging pens along the Cape Fear River in North Carolina. Some of the heavier trees sank during transportation. Other trees were intentionally dumped in the river for disposal after being bled for turpentine. The company used side-scan penetrating radar to find large quantities of logs in 30 locations in and around the river. The first two sites the company salvaged contained heart pine and river pine. A more recent site contained a treasure trove of perfectly preserved 38,000-year-old cypress trees buried 30 feet in a sand pit. Scientists have identified these as trees that became extinct more than 20,000 years ago. 1. The cypress trees are 60 to 80 feet long. If there are 14,285 trees at an average length of 70 feet, how many feet of wood will the company have? 2. If the cypress is worth $80 per foot, what are the 14,285 trees worth? 3. If the cost to recover the 60-to-70-foot cypress trees is $375,000 each and the cost to harvest the larger trees is $500.00, how much would it cost to recover all of the trees if 2/5 of the trees are more than 70 feet long? 4. Because the harvested lumber depletes the total amount of natural resources available to the citizens of North Carolina, the state of North Carolina places an exise tax of 1/20 of all profits earned by lumber companies within the state. If the wood is worth approximately $80,000,000 and the only expense of obtaining the wood is the recovery cost, how much excise tax is owed to North Carolina?
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