Word Problems

1. Find an equation in slope-intercept form for the line. Through (4.4) and (2.7) 2. Find an equation for the given line in the form ax+by=c, where a, b, and c are integers with no factor common to all three and 320. Through (-40.35); parallel to 7x+8y=11 3. Suppose that the demand and price for a certain model of a youth wristwatch are related by the following equation. where p is the price (in dollars) and q is the quantity demanded (in hundreds). p=D(q)=28-2.25q Find the price at each level of demand. Answer parts a through d. a. Find the price when the demand is 0 watches. The price when the demand is 0 watches is $ 4. To produce x units of a religious medal costs C(x)=13x+60. The revenue is R(x)=25x. Both cost and revenue are in dollars. a. Find the break-even quantity. I). Find the profit from 530 units. 1:. Find the number of units that must be produced for a prot of $120. 5. Afirm produces a product that has the production cost function C(x)=435x+14,355 and the revenue function R(x)=580x. No more than 192 units can be sold. Find and analyze the breakveven quantity. then nd the prot function. 6. A person is the manager of a firm. He is considering manufacturing a new product, so he asks the accounting department for cost estimates and the sales department for sales estimates. After he receives the data, he must decide whether to go ahead with production of the new product. Analyze the following data (nd a break-even quantity) and then decide what the manager would do in this case. Also, write the prot function. C(x)=160x+1200 and R(x)=140x 7. Find the compound amount for the deposit and the amount of interest earned. $3000 at 3% compounded annually for 2 years. 8. Find the compound amount for the deposit and the amount of interest earned. $570 at 4.8% compounded semiannually for 14 years. 9. Find the interest rate for an $8000 deposit accumulating to $10.705.52, compounded quarterly for 9 years. 1. Find the APY corresponding to the following nominal rate. 2% compounded quarterly. 2. Find the present value (the amount that should be invested now to accumulate the following amount) if the money is compounded as indicated. 510398.37 at 6.9% compounded annually for 3 years