Basic Math Questions and Answers

Factor the greatest common factor from the polynomial Assume any variable exponents represent whole numbers x 6x OA x x 6 OB X X 6X OC x x 6 OD x x 6

Rent for the month Cash in checking account Spending for food Current value of automobile Credit card balance Auto insurance Stereo equipment Lunches parking at work Home computer Clothing purchase Total assets Total liabilities Net worth Total cash inflows Total cash outflows Monthly take home salary 650 Savings account balance 370 1 230 8 490 Payment for electricity 199 Donations 1 970 Value of stock investment 135 Restaurant spending LA LA LA LA Balance of educational loan 21 470 Telephone bill paid for month 154 270 Loan payment 81 237 Household possessions 2 860 2 860 2 860 2 860 2 350 3 000 3 970 122 160 1 180 172

5 OA 9y2n 2y 16 O B 27y n C 9y4n 2y2n 16 OD 13y2n 2y 16

Find the slope of the line 5 N 2 6 Ay 4 NS 2 to X Q Select the correct choice below if necessary fill in the answer bo complete your choice OA m Type an integer or a simplified fraction OB The slope is undefined

Write a polynomial that represents the volume of the open box X 7 4x OA 42x 52x 16x OB 42x 52x2 16x OC 42 52x 16x OD 42x 52x 4x 6 4x FIR

A person is on a car trip Let d be the distance in miles traveled in t hours of driving The line in the figure describes the relationship between t and d a Is the car traveling at a constant speed b What is the speed of the car dA Miles 300 240 180 120 60 0 0 1 2 Hours 3 4 a Is the car traveling at a constant speed Yes O No b What is the speed of the car mph The speed of the car is Type a whole number

here for instructional material to complete this problem Graph the equation by plotting points y x 2 Use the graphing tool on the right to graph the equation Click to enlarge graph 10 8 6 10 8 6 4 Ay 2 2

complete this problem Graph the equation 3 y zx Use the graphing tool on the right to graph the equation Click to enlarge graph 10 6 2 10 18 64 9 t 2 No 6

4 Dylan invested 600 in a savings account at a 1 6 annual interest rate He made no deposits or withdrawals on the account for 2 years The interest was compounded annually Find to the nearest cent the balance in the account after 2 years enodibn 00 njeg fps visva siduob of elde ai sietoed to vi

complete this problem Find the slope of the line kol 4 22 6 2 2 to Select the correct choice below ar if necessary fill in the answer box complete your choice OA m Type an integer or a simplified fraction OB The slope is undefined

Find the slope of the line passing through the given points State whether the line is increasing decreasing horizontal or vertical 1 3 and 4 5 Select the correct choice below and fill in any answer boxes present in your choice OA The slope of the line is Type an integer or a simplified fraction OB The slope of the line is undefined

Find the y intercept of y 12x The y intercept of y 12x is Type an ordered pair

Find the y intercept of y 5x 5 The y intercept of y 5x 5 is Type an ordered pair

2 Mei next tests her robot s ability to launch tennis balls A ball s parabolic path through the air can be represented by a quadratic function where x represents the ball s horizontal distance traveled and y represents the ball s height above the ground Part A The robot launches a tennis ball from a height of 4 ft The ball reaches a maximum height of 40 ft before it begins to fall It lands on the ground 160 ft from the robot Mei models this situation with a quadratic function What is a zero of this function What is the y intercept of the graph of the function Part B Use your findings in Part A to sketch a rough graph of the situation where y represents the vertical height in feet and x represents the horizontal distance in feet

10 9 8 7 9 Writ Y 7 10 9 FO IN 6 My MALN 75 464 49 a 10 od N bo 4 5 67 8 9 10 Solve the following inequality p v 0 0 00

Solve the rational inequality I 2 x 4 x 4 State your answer using interval notation Use U for union and oo for co 4 U 4 2 Question Holp 0

A health insurance policy pays 70 percent of physical therapy costs after a 200 deductible In contrast an HMO charges 22 per visit for physical therapy How much would a person save with the HMO if he or she had 10 physical therapy sessions costing 60 each Assume the person has no other medical expenses Do not round intermediate calculations Amount of savings

10 IN DETAILS LARMPMT1 7 3 006 Consider the following

Mei is an electrical engineer who has designed and built a robot that can accurately launch tennis balls a great distance She is testing her robot s design 1 Mei is inspecting her robot s electronic circuits Electrical engineers use complex numbers when calculating voltage and resistance Part A The total voltage of a circuit is the sum of its sources One of the robot s circuits has three source voltages V listed below Find the total voltage of the circuit Source 1 9 40 V Source 2 531 V Source 3 2 6i V Part B Another circuit has two resistors in parallel with individual resistances R and R The total resistance R is given by the formula below R T R R 1 2 R R 1 www Find the total resistance Write your answer in the form a bi R R R 2 1 ohms 1 R 1 2i ohms

To make fudgelike brownies a person bakes a brownie mix for 7 minutes less than the bakir time suggested on the box Let r be the suggested baking time in minutes and a be the actual baking time in minutes Complete parts a through c a Find an equation that describes the relationship between r and a Assume that a is the dependent variable Hint Find the equation by creating a table of values for r and a An equation that describes the relationship between r and a is a Type an expression using r as the variable

1 Which number line shows the solution to the inequality 2 3x 1 82 B Solving Inequalities in One Variable A B C 5 4 3 2 5 3 0 1 1 1 1 2 3 4 5 2 3 4 5 1 2 3 4 5 2 3 4 5 2 Solve the inequality 3 x 2 12x 2 x 2 A x 4 B C D x 2 5 there is no solution there are an infinite number of solutions 3 Graph the solution of the inequality 3 x 1 6 on the number line 2 3 4 5 4 Graph the solution of the inequality 2x 3 x x 1 on the number line 5 4 3 2 1 012 3 4 5

material to complete this problem Graph y 5x 3 Use the graphing tool to graph the equation Click to enlarge graph 10 B 6 10 8 6 4 2 2 4 6

Use the slope formula to find the slope of the line that passes through the two given points State whether the line is increasing decreasing horizontal or vertical 5 10 and 6 8 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope is m OB The slope is undefined Is the line increasing decreasing horizontal or vertical OA decreasing OB horizontal OC increasing OD vertical Type an integer or a simplified fraction

Let s be the sales of frozen food bowls in millions in the year that is t years since 2000 A reasonable model of frozen food bowl sales is s 32t 377 Complete parts a through c a What is the slope What does it mean in this situation Select the correct choice below and fill in the answer boxes within your choice OA The slope is OB The slope is The sales of frozen food bowls are increasing by The sales of frozen food bowls are decreasing by million per year million per year

OO OO 1 1 6 1 6 1 1 1 6 1 W N 6 1 6 A W W H b

b Write the decimal in expanded form 2 88 2 8 10 8 1000 8 8 2 1 10 2 8 0 01 2 8 0 1 8 10 8 100 8 8 2 0 1 Model the decimal using base ten blocks and draw a s

T 5 sin 9 cos 0 Need Help Submit Answer Read It 2 1 Points DETAILS 7 Watch It Convert the polar equation to rectangular coordinates Use variables x and y as needed

Sketch a graph of the polar equation r 2 sec 9 conchold 20 20 10 10 201 10 10 20 x 2 10 WebAssign Plot 20 10 2 A 10 10 20 20 0 0 O 20 20 10 10 10 20 20 2 10 20 10 10 2 10 10 20 20 0 0

Find the bearing from O to A N W A E The bearing from O to A is

Sketch a graph of the palar equation r 3 cos 30 Need Help Read It 2 2 2 4 0 0 O O 4 4 2 2 N 2 41 2 4 2 2 2 4 4

sketch a graph of the polar equation r sin 48 O 1 0 Need Help 0 5 Read It 1 0 x 2 1 0 x 2 1 0 0 5 1 0 0 5 1 0 0 0 1 0 0 5 0 5 0 5 0 5 1 0 2 1 0 45 x 2 0 5 0 5 1 0 0 0

r 1 sin 8 3 3 Need Help 2 2 1 2 3 7 3H A 2 3 2 2 3 3 O 3 2 3 10 2 1 1 2 3 2 2 31 2 3 1 1 2 3

LLLL 3 2 1 x 2 3r 2 5 1 N x 2 1 5 2 3 0 0 Express the equation in rectangular coordinates Use variables x and y O 3 2 1 1 5 1 0 0 5 1 2 1 5 1 0 0 5 0 5 1 0 1 5 2 3 1 x 2 2 0 5 1 1 0 2 1 5 3 0

O r 4 cos 9 d Help Read It x 2 5 Watch it 5 5 R 2 5 x 2 5 5

F 2 Points DETAILS Sketch a graph of the polar equation 1 4 n 2 n 2 5 O 0 Express the equation in rectangular coordinates Use variables x and y 5 R 2 5 5 A 2 0

Assume that one year ago you bought 140 shares of a mutual fund for 20 00 per share you received a 0 65 per share capital gain distribution during the past 12 months and the market value of the fund is now 15 Calculate the total dollar return for this investment if you were to sell it now Negative amount should be indicated by a minus sign Do not round intermediate calculations Round your answer to 2 decimal places Total dollar return

Kim Lee is trying to decide whether she can afford a loan she needs in order to go to chiropractic school Right now Kim is living at home and works in a shoe store earning a gross income of 1 050 per month Her employer deducts a total of 147 for taxes from her monthly pay Kim also pays 160 on several credit card debts each month The loan she needs for chiropractic school will cost an additional 170 per month Help Kim make her decision by calculating her debt payments to income ratio with and without the college loan Remember the 20 percent rule Round your answers to 2 decimal places Debt payments to income loan ratio with college Debt payments to income ratio without college loan

Convert the polar equation to rectangular coordinates Use variables x and y as needed T 9

1 Points Convert the rectangular coordinates to polar coordinates with r 0 and 0 0 27 8 8 r 0 Need Help DETAILS 20 1 Points Read It 5 0 Need Help DETAILS Convert the rectangular coordinates to polar coordinates with r 0 and 0 0 2 4 0 Watch It Read It Watch It

Fallon Company uses flexible budgets to control its selling expenses Monthly salas ara expected to range from 169 100 to 208 700 Variable costs and their percentage relationship to sales are sales commissions 6 advertising 4 travel 4 and delivery 1 Fixad selling expenses will consist of sales salaries 35 300 depreciation on delivery aquipment 6 500 and insurance on delivery equipment 1 800 Prepare a monthly selling expense flexible budget for each 13 200 increment of sales within the relevant range for the year anding December 31 2020 List variable costs before fixed costs n FALLON COMPANY Monthly Selling Expense Flexible Budget For the Year 2020

Plot the point that has the given polar coordinates 7 17 O Need Help Read It 2 2 0 11 2 2

Plot the point that has the given polar coordinates 1 Need Help Read It x 2 x 2 0 0 2 x 2 0

1 Points DETAILS Determine which point in the figure P Q R or S has the given polar coordinates 4 23T Select P O R Select S Submit Answer 1 Points 0 R Read It DETAILS 2 Watch It 7 21 3 Top S

Plot the point that has the given polar coordinates 7 777 O Need Help 2 2 HILL 0 0 2 2 0

Indirect labor Indirect materials Utilities 1 30 0 80 0 30 Fixed overhead costs per month are Supervision 4 400 Depreciation 1 200 and Property Taxes 600 The company believes it will normally operate in a range of 7 200 10 200 direct labor hours per month Prepare a monthly manufacturing overhead flexible budget for 2020 for the expected range of activity using increments of 1 000 direct labor hours List variable costs before fuxxed costs MYERS COMPANY Monthly Manufacturing Overhead Flexible Budget For the Year 2020

from 71 000 to 105 000 units Budgeted variable manufacturing costs per unit are direct materials 3 direct labor 7 and overhead 11 Budgeted fixed manufacturing costs per unit for depreciation are 4 and for supervision are 3 In March 2020 the company incurs the following costs in producing 88 000 units direct materials 290 000 direct labor 607 000 and variable overhead 971 000 Actual fixed costs were equal to budgeted fixed costs Prepare a flexible budget report for March List variable costs before fixed costs v 19 S Budget GUNDY COMPANY Manufacturing Flexible Budget Report For the Month Ended March 31 2020 5 Actual S Neit nor

For the year ending December 31 2020 Cobb Company accumulates the following data for the Plastics Division which it operates as an investment center contribution margin 658 580 budget 676 782 actual controllable fixed costs 301 100 budget 305 400 actual Average operating assets for the year were 1 986 000 Prepare a responsibility report for the Plastics Division beginning with contribution margin for the year ending December 31 2020 Round ROI to 1 decimal place eg 1 5 COBB COMPANY Plastics Division Responsibility Report For the Year Ended December 31 2020

Torres Company accumulates the following summary data for the year ending December 31 2020 for its Water Division which it operates as a profit center sales 2 043 900 budget 2 180 900 actual variable costs 1 011 800 budget 1 044 400 actual and controllable fixed costs 299 800 budget 302 900 actual Prepare a responsibility report for the Water Division for the year ending December 31 2020 Budget TORRES COMPANY Water Division Responsibility Report For the Year Ended December 31 2020 Actual

Gundy Company expects to produce 1 270 800 units of Product XX in 2020 Monthly production is expected to range from 70 000 to 108 000 units Budgeted variable manufacturing costs per unit are direct materials 5 direct labor 7 and overhead 10 Budgeted fixed manufacturing costs per unit for depreciation are 6 and for supervision are 2 Prepare a flexible manufacturing budget for the relevant range value using 19 000 unit increments List variable costs before fixed costs V GUNDY COMPANY Monthly Flexible Manufacturing Budget For the Year 2020

Solve the inequality 2 3 52 10 IV 6 5