Basic Math Questions and Answers

11 Points Formulate a linear programming problem that can be used to solve the following question An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 78 first class 60 tourist and 114 economy class passengers The first plane cost 3600 for the trip and can accommodate 36 first class 16 tourist and 26 economy class passengers the second plane costs 4800 for the trip and can accommodate 14 first class 16 tourist and 40 economy class passengers the third plane costs 5500 for the trip and can accommodate 18 first class 30 tourist and 16 economy class passengers How many of each type of airplane should be use to minimize the operating cost Select X y Select Z Select DETAILS TEAFM2 3 1 020 Select OF Subject to 0 Additional Materials C C objective function first class passengers tourist passengers economy class passengers X Select 0 y Select 0 z Select 0 nonnegativity constraint

Sofia and Manuel are purchasing a home They wish to save money for 12 years and purchase a house that has a value of 190 000 with cash If they deposit money into an account paying 5 interest compounded monthly how much do they need to deposit each month in order to make the purchase Round your answer to the nearest cent if necessary Itranscript Formulas

Christina bought a new car for 34 000 She paid a 20 down payment and financed the remaining balance for 72 months with an APR of 6 5 Determine the monthly payment that Christina pays Round your answer to the nearest cent if necessary Itranscript Formulas

Itranscript Use the 2020 Federal Tax Rates for Individuals to calculate the estimated taxes for a taxable income of 81 600 Answer 2 Points Tax rate 10 12 22 24 32 35 37 2020 Federal Tax Rates for Individuals Taxable Income Bracket 0 to 9875 9876 to 40 125 40 126 to 85 525 85 526 to 163 300 163 301 to 207 350 207 351 to 518 400 518 401 or more

se the 2020 FICA Tax Rates to calculate the medicare tax for an employee with a taxable income of 52 400 Tax Social Security tax Medicare tax Additional Medicare tax 2020 FICA Tax Rates Employee rate 6 2 of the first 137 700 of gross income 1 45 0 9 on earnings over 200 000 for single filers 250 000 for joint filers or 125 000 for married filing separately Employer rate 6 2 of the first 137 700 of gross income 1 45 N A Self employed rate 12 4 of the first 137 700 of gross income 2 9 0 9 on earnings over 200 000 for single filers 250 000 for joint filers or 125 000 for married filing separately

r 14 ft 0 Find the arc length given the radius and central angle 48 6 19T 12 75 4 0512

14 in 315 Find the area of the highlighted sector 274 1 O 538 8 405 9

240 Find the area of the highlighted sector 623 1 O 536 2 16 ft 495 6

19t 12 Find the area of the highlighted sector O 358 1 12 ft O 704 9

Sine Graphis Determine the vertical shift of the following Sine graph Ann ke Question 5 8 33 points

Formulate a linear programming problem that can be used to solve the following question A dealer has 8900 pounds of peanuts 6800 pounds of almonds and 4200 pounds of cashews to be used to make two mixtures The first mixture wholesales for 2 50 per pound and consists of 55 peanuts 30 almonds and 15 cashews The second mixture wholesales for 2 60 per pound and consists of 20 peanuts 45 almonds and 35 cashews How many pounds of each mixture sho the dealer make to maximize revenue Select Select BF Subject to Additional Materials objective function pounds of peanuts pounds of almonds pounds of cashews 80 y Select 80 nonnegativity constraint

Calculate the monthly mortgage payment Round to the nearest cent Answer 2 Points Itranscript 210 000 is financed for 20 years at 5 25 APR

Cyrus deposits 396 86 each month into an annuity account for his child s college fund in order to accumulate a future value of 70 000 in 12 years How much of the 70 000 will Cyrus ultimately deposit in the account and how much is interest earned Round your answers to the nearest cent if necessary AnswerHow to enter your answer opens in new window 2 Points Itranscript Amount Cyrus will deposit Formulas Keypad Keyboard Shortcuts

mine the 05 21 KN k 8 4 itude of the following Sine graph Question 3 8 33 points Sine Graphs

3 6 19 Question 1 8 34 points Sino Graphs Determine the amplitude of the following Sine graph Ama Question 2 8 34 points Sine Graphs Determine the amplitude of the following Sine graph e

Sine Graphs Which equation would have a graph with an amplitude of 5 5 sin x sin 5x sin x 5 y sin x 5 Question 7 8 33 points Sine Graphs Which equation would have a graph with a period of y sin x x 4

Milo is purchasing a new refrigerator for 5700 using an in store offer The store is offering a 90 days same as cash loan This means that at the end of the 90 days if Milo has paid off the cost of the refrigerator he owes no added interest charge but if he does not pay off the entire cost of the refrigerator he owes simple interest on the original purchase amount calculated over the entire 90 days If the annual interest rate is 20 87 how much would Milo owe on the 91st day if he made no payments during the first 90 days Round your answer to the nearest cent if necessary Answer 2 Points Keypad

A couple deposits 17 000 into an account earning 2 annual interest for 15 years Calculate the future value of the investment if the interest is compounded daily Round your answer to the nearest cent Itranscript Formulac

At the beginning of this month the balance of Vance s checking account was 1697 5 So far this month he has received a paycheck via direct deposit of 962 88 been charged a monthly service fee from his bank of 25 00 used a debit card linked to hi account to make a purchase of 183 12 another for 138 83 that has already been cleared and deposited a check written to him for 71 17 What is the current balance Vance s checking account Po N A

Consider the following piecewise function Which of the below correctly describes the graph shown 0 tx 3 3 x 2 3x 8 x2 2 2x 3 0 12 2 y x 2 x 8x22 Oy x 3 X 2 3x 8 x22 2x 3 x 2 x 8x2 2 Question 2 25 points Piece wise Graphs Quizzes Phoenix 2 e 54321 Fine 8 4 2 26 1 2 3

Which graph below correctly shows y Quizzes Phoenix 2 e x 2 x 2 2x 3 x22

find the first three terms of the arithmetic series with Sn 129 a 1 14 an 129

The directed line segment AB goes from A 0 4 to B 5 1 What coordinate is divides the segment into a ratio of 2 3 3 2 2 1 6 3 4 2 2 3 1

what is the maximum area of an isosceles triangle inscribed in a circle with a radius of 12 inches

7 The coordinates of the midpoint of a vertical line segment are 1 3 Which of the following are possible pairs of endpoints for the line segment a 1 5 and 1 2 b 1 1 and 1 7 d 1 3 and 3 3 0 3 and 3 3

10 A right triangle has side lengths measuring 5 cm 12 cm and 13 cm A similar triangle has a hypotenuse of 169 cm What is the length of the shortest side of the larger triangle A 13 cm a 25 cm b 60 cm 12 cm 5 cm B C d 65 cm 144 cm

9 Determine the factors of 5x 23x 42 a 5x 7 x 6 b x 7 5x 6 5r 1 x 42 d 5x 7 x 6

6 What are the x intercepts of the graph for the quadratic relation y 12x 5x 2 1 2 1 1 and b 1 and d and 3 and K LE

5 When rewritten in the form y a x h k by completing the square the relation y x 6x 12 becomes b y x 3 3 y x 3 3 d y x 3 21 y x 3 21

3 The vertex of y x 2 x 4 is 2 4 b 3 35 0 8 3 1

12 What is the measure of C to the nearest degree A 29 b 20 8 3 B 21 d 22

tions 3 2 3 3 Find all of the real and imagina f x 4x 2 x 7 x 1 3

Given Sin A Solution 123 and c 22 8 Find a b and B 11

Use a right triangle to write the expression as an algebraic expression Assume that x is positive and in the domain of the given inverse trigonometric function sin tan x x 1

Solve u 2 4 where Simplify your answe

omework Rewrite the expression 125 1 3 using radicals then simplify if possible

The following table gives the value in billions of dollars of the 10 most valuable teams in a professional sports league D E F Team A B C G H I J Value 4 20 3 50 3 20 3 00 2 96 2 90 2 72 2 70 2 50 2 40 a Find the mean b Find the median a The mean is billion Tuno on intoger or a decimal

A local travel office has 10 employees Their monthly salaries are given below 1530 1720 1630 1260 1430 1580 1890 1310 3000 6300 a Find the mean The mean is s

The following pulse rates were recorded for a group of 15 students Find the mode 76 78 64 66 69 62 80 69 68 63 68 73 75 84 70 Find the mode Select the correct choice below and if necessary fill in the answer box to complete your ch OA The mode s is are Type an integer or a decimal Use commas to separate answers as needed There is no mode B

Find the mean for the following list of salaries 30 500 24 000 33 620 29 710 24 900 28 050 27 600 32 980 The mean is Typo on integer or a decimal

Find the median for the following list of numbers 28 2 9 7 3 6 27 8 59 8 32 8 47 8 29 8 The median is Round to the nearest tenth as needed

For the following set of numbers find the mean 11 8 13 8 24 8 9 8 24 8 14 8 10 8 The mean is

For the following set of numbers find the median 40 57 53 32 37 44 The median is Type an integer or a decimal

For the following set of numbers find the median 14 16 27 12 27 17 13 The median is

The amount in dollars of the monthly electric bill for 30 households is shown to the right Construct a frequency distribution and a histogram for the data set O A OC Frequency Frequency 086420 25 125225325 Electric Bill Dollars M 25 125225325 Electric Bill Dollars 5 17 30 318 64 198 228 82 98 72 45 32 62 174 262 76 140 115 129 152 154 149 271 202 254 267 256 284 124 47 277 260 O B O D Frequency Frequency MANADE 686420 L 25 125225325 Electric Bill Dollars TUHie L 0 25 125225325 Electric Bill Dollars

Students sold candy bars for a dollar each as a school fundraiser The amounts in dollars raised by 30 students are given on the right Answer parts a and b 30 39 40 49 O A 50 59 60 69 b Choose the histogram that best represents this data set Frequency ONART E 5 8 2 4 0 20 40 60 80 Bars Sold OB Frequency ONAR 0 20 40 60 80 Bars Sold Q G 22 34 29 44 28 55 25 11 64 62 24 38 62 19 55 49 28 13 48 19 44 34 38 15 48 32 48 49 65 45 OC Frequency NO 0 20 40 60 80 Bars Sold O D Frequency ONACO 0 20 40 60 80 Bars Sold Q

Construct a stem and leaf plot for the data The amount in dollars spent by 20 families for dinner at a restaurant 63 65 64 69 67 62 65 69 60 65 60 60 65 67 55 61 62 62 62 65 subgroup is arranged in numerical order and the first in each plot has been given Select the correct choice belo fill in the answer boxes to complete your choice O A Stem 5 5 5 5 5 6 6 6 Leaf blank blank blank blank 0 1 B Stem 5 5 556 5 6 6 6 6 Leaf blank blank blank 6 Units 615 65 inches 4 5 C Stem 5 5 5 6 6 6 6 6 Leaf blank blank 4 5

Question 4 d rt Stem of equations Chris covers her paper route which is 21 miles long by 7 30am each day If her average rate of travel were 1 mile per hour faster each hour she would cover the route by 7am What time does she start in the morning

A new giant superstore is being planned somewhere in the vicinity of kneebend and Anklescratch towns which are 10 miles apart The developers will only say that all of the locations they are considering are less than 7 miles from kneebend and Anklescratch Indicate all the places where the giant superstore could be located Explain your answer

Question 29 6 5 4 O O x 1 x 3 Ox 4 x 1 3 2 1 x 4 x 1 x 3 6 5 0 1 2 3 4 5 6 2 3 ark this qu For the graph shown below find all values of x for which f x is not differentiable 4 5 6