A small theatre's profit, P(x), from selling concert tickets is P(x) = -15x2 + 60x + 30, where x is the number of $2 price increases of each ticket. Use the graph below to answer the question. profit 80 60 40 20 2 number of price increases How many price increases maximized the theatre's profit? O 1.5 02 O 4.5A basket manufacturing company produces 83,575 woven baskets each year. Determine the minimum sales price the company must sell each basket for to make a profit of $100,000, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17. $10.98 O $21.95 $23.15 $31.76The daily production costs for a golf ball manufacturer can be modeled with the function C(x) = 0.1x2 - 7x + 140, where C(x) is the total cost and x is the number of golf balls produced per hour. Use the graph to answer the question. cost 150 100 50 50 100 number of golf balls produced Which statement shows the correct relationship between production cost and number of golf balls produced? The minimum production cost of 17.5 occurs when 35 golf balls are produced. The minimum production cost of 140 occurs when 0 golf balls are produced. O The production cost of 30 golf balls is greater than the production cost of 50 golf balls. O The production cost of 20 golf balls is greater than the production cost of 55 golf balls.The assets and liabilities of a credit union banker are listed below. Car Value 529,850 Car Loan $10,560 Savings Account Balance $12,409 Treasury Bonds 510,000 Student Loans $13,824 Credit Card Balance 58,051 Checking Account Balance | $19,419 Home Value 5194,450 What is the total net worth if the banker pays off the student loans? $219,869 O $247,517 $233,693 O $252,304A construction worker earns an average bi-weekly net pay of $1,764.00. Which compound inequality correctly shows the amount of money, t, the worker can spend if the monthly budget for food is between 10% and 20%? $176.40 s t s $352.80 $352.80 s t s $706.50 $382.20 s t s $764.40 $420.42 s t s $573.30Use the marginal tax rate chart to answer the question. Marginal Tax Rate Chart Tax Bracket Marginal Tax Rate SO-$10,275 10% $10,276-$41,175 12% $41, 176-$89,075 22% $89,076-$170,050 24% $170,051-$215,950 32% $215,951-$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $75,400. Round the final answer to the nearest hundredth. 10.05% O 16.27% O 22.00% 24.90%\fA local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. C(x) represents the total cost and x represents the number of boxes, which can be modeled by the function below. 3.75x, x $539,901 37% Determine the amount of taxes owed on a taxable income of $38,520. $3,852.00 $4,416.90 O $4,622.40 O $8,474.40The graph of a piecewise function is shown. 6 5 4 3 N X -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -3 -4 -5 -6 What is the range of the function? O (-00, 00) O [-00,09] ( (-00,-2] U (-1, 00) O (-00,-2) U [-1,00 )A dog walking business earns an average yearly revenue of $165,750. Which compound inequality correctly shows the amount of money, t, the business needs each month to pay employees if the monthly budget for employee wages is between 32% and 35%? $1,020.00 s ts $1, 115.63 $2,040.00 s t s $2,231.25 $4,080.00 s t s $4,4,62.50 $4,420.00 s t s 54,834.38