Concept explainers
Salary Contract A union contract guarantees a 3.5% yearly salary increase for 2 years. For a current salary of $40,000, the salaries S for the next 3 years are given by
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Calculus: An Applied Approach (Providence College: MTH 109)
- Agriculture At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 700 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So, the number of pounds of grapes produced per acre is modeled by An=700+n10-0.01n where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.arrow_forwardA company sells $160,000 worth of printing paper during its first year. The sales manager has set a goal of increasing annual sales of printing paper by $20,000 each year for 9 years. Assuming that this goal is met, find the total sales of printing paper during the first 10 years this company is in operation.arrow_forwardThe number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.arrow_forward
- Paying Off a Credit Card Suppose you owe 15, 000 on a credit card that carries an APR of 24. Because the balance is so high, you choose to stop charging and pay off the card. You can afford to make only the minimum monthly payment, which is 5 of the balance. Then your balance after t months is given by B=15,000(1.020.95)tdollars. How many payments will you have to make to get the balance below 100?arrow_forwardAgriculture the number of apples produced by each tree in an apple orchard depends on how densely the trees are planted. If n trees planted on an acre of land, then each tree produce 900 - 9n apples, so the number of applesproduced per acre is A(n) = n(900 - 9n) How many trees should be planted per acre to obtain the maximum yield of apples?arrow_forwardFinance A family has a monthly mortgage payment of $760, which is 16 of their monthly income. What is the family’s monthly income?arrow_forward
- When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?arrow_forwardInvestments Jack invest $1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one half percent higher. If he receives a total of $190 interest in 1 year, at what rate is the $1000 invested?arrow_forwardA total of $50,000 is invested in two funds that pay 4 and 5.5 simple interest. The yearly interest is $2390. How much is invested at each rate?arrow_forward
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