Math - Others Questions

ment Score 13 of 13 Macmillan Learning 0 While diving off the coast of California a diver spots a large shark Using a laser device she finds that the distance to the tail of the shark is 30 feet and the distance to the head is 35 feet The angle between the two measurements is 20 The figure is shown How long is the shark Diver 20 Shark s length 35 30 Shark Use decimal notation Give your answer to at least one decimal place Resources Ly Give Up7 feet

Solve the given triangle Use degree measure A 25 B 19 B Use decimal notation Give your answer to three decimal places Include the degree symbol in your answers 16

Using the 2019 marginal tax rates provided in the table below find the marginal and average tax rates for the incomes shown Give all answers to two decimals Taxable Income 0 9 700 9 701 39 475 39 476 84 200 84 201 160 725 160 726 204 100 204 101 510 300 Over 510 300 1st attempt Part 1 2 points Tax rate 10 Part 2 2 points 22233 12 24 35 37 What would be your federal income tax if your taxable income was 111 000 00 S What is the average tax rate for 111 000 00 in taxable income How much tax would you owe if your income increased by 25 000 to 136 000 00 See Hint See Hint

given triangle 25 A 15 13 C degree measure C Use decimal notation Give your answers to three decimal places Include the degree symbol in your answers where need

Which of the following policies would dramatically and permanently reduce government outlays Choose one or more A reducing the number of individuals eligible for food stamps B reducing the cost of living increase for Social Security recipients C lowering wages for workers involved in all government construction projects D reducing the number of overseas military bases E lowering Medicare and Social Security taxes

Find the length of the side marked c of the given triangle 8 C 60 C 7 Give an exact answer Use symbolic notation and fractions where needed

What changes have been made to the Social Security program since its creation in 1935 Choose one or more A Social Security taxes as a percentage of income have increased over time B The number of workers per retiree has increased C The length of time that individuals collect Social Security benefits has gotten shorter D The length of time that individuals collect Social Security benefits has gotten longer E The number of workers per retiree has decreased

Truman an industrious worker is faced with the following tax table Income level 0 8 700 8 700 35 350 35 350 85 650 85 650 178 650 178 650 388 350 Greater than 388 350 If Truman earns 73 000 what is his tax bill Marginal tax rate 10 15 25 28 33 35

A buoy floating in the sea is bobbing in simple harmonic motion with amplitude 12 in and period 0 25 seconds Its displacement d from sea level at time t 0 seconds is 0 in and initially it moves downward Note that downward is the negative direction Give the equation modeling the displacement d as a function of time t d 0 B 00 sin cos

The government announced that last year it spent 179 million in mandatory outlays and 416 million in discretionary outlays It received 612 million in revenue Last year the government had a budget surplus surplus deficit of million

The budget of the federal government is dramatically different than it was 50 years ago In what way is it different Choose one A Mandatory spending has increased as the population has gotten older and the Social Security and Medicare programs have expanded B Discretionary spending has increased due to the expansion of the Social Security and Medicare programs OC Mandatory spending has decreased dramatically OD Spending on defense as a percentage of the federal budget has dramatically increased

A line passes through point 4 2 and has a slope of 2 Write an equation in Ax By C form for this line Use integers for A B and C

Nicole and her husband are each starting a saving plan Nicole will initially set aside 750 and then add 155 every month to the savings The amount A in dollars saved this way is given by the function A 750 155N where Nis the number of months she has been saving Her husband will not set an initial amount aside but will add 395 to the savings every month The amount B in dollars saved using this plan is given by the function B 395N Let T be total amount in dollars saved using both plans combined Write an equation relating T to N Simplify your answer as much as possible T 0 6

A 380 000 home mortgage with a rate of 2 5 compounded continuously is borrowed for a period of 30 years Find the amount K that is needed to be paid off each year

nd value s for b such that the triangle has one solution two solutions and no solution A 84 a 325 6 a one solution Obs 325 6 or b 325 6 sin 84 Obs 325 6 O b 325 6 or b Ob 325 6 sin 84 Obs 325 6 or b 325 6 cos 84 b two solutions O 325 6 b cos 84 325 6 O 325 6 b O 325 6 b O 325 6 b O 325 6 b c no solution Ob 325 6 sin 84 Ob z 325 6 Ob 325 6 Ob 325 6 sin 84 sin 84 325 6 325 6 sin 849 325 6 sin 84 325 6 cos 84 06 275 on h 325 6

Suppose that an airplane is asked to stay in a holding pattern near an airport The distance of the plane to the airport is described by the following d t 145 64 sin In this equation d t is the distance of the plane to the airport in miles and t is the time in minutes after the plane enters the holding pattern During the first 12 minutes after the plane enters the holding pattern when will the plane be 110 miles from the airport Do not round any intermediate computations and round your answer s to the nearest hundredth of a minute If there is more than one answer enter additional answers with the or button t minutes or

Write the equation of a sine or cosine function to describe the graph 3x m C 3x til 3 t 2 9x 3x 15 0

Use the table to answer the question Consider the set V GPA above 2 0 Which set is equivalent to but not equal to V Choose the set equivalent to V but not equal to V OA Dana Brenda Elston Carmen Frank Gina OB Dana Brenda Carmen Gina O C Dana Elston Frank Gina OD Dana Elston Carmen This question 1 point s possible 33 Submit quiz Major Class Rank GPA Activi Dana History Junior 3 9 Band Brenda Math Senior Elston Business Freshmen Carmen English Senior Frank History Junior Gina Business Junior 1 8 Yearb 2 4 Baseb 1 7 Socce 3 7 Tennis 3 7 Choir

A car rental company charges an initial fee plus an additional fee for each mile driven The charge depends on the type of car economy or luxury The charge E in dollars to rent an economy car is given by the function E 0 70M 11 95 where M is the number of miles driven The charge L in dollars to rent a luxury car is given by the function L 1 15M 16 40 Let C be how much more it costs to rent a luxury car than an economy car in dollars Write an equation relating C to M Simplify your answer as much possible C

Assume n is a positive integer Count the number of operations in the loop below x 0 for i 1 to n for j 1 to i for k 1 to j x i j k next k next j next i 1 Start by counting the number of operations performed in the innermost loop the k loop This total will depend on j In each iteration of the innermost loop The inner loop runs operations are performed times so the total number of operations performed in this loop is 2 Now we want to count the number of operations the middle loop the j loop performs in a complete run of it In the ith iteration of the middle loop The middle loop runs a total of times To get the total number of operations we need to add up the number of operations performed for each value of j That is the total number of operations performed in the middle operations are performed This total depends on the value of j start adding from the smallest value of j 3 Finally we compute the total number of operations this algorithm performs In the ith iteration of the outer loop The outer loop runs a total of times To get the total number of operations we need to add up the number of operations performed for each value of i That is the total number of operations performed in the algorith operations are performed This total depends on the value of i

17 Find the savings plan balance after 10 months with an APR of 3 and monthly payments of 390

20 Calculate the monthly payment for a student loan of 20 934 at a fixed APR of 8 for 12 years

List all the two element subsets of the following set 4 5 6 7 Choose the correct answer below OA 4 5 5 6 6 7 O B 4 5 4 6 4 7 5 6 5 7 6 7 OC 4 5 4 6 4 7 5 6 5 7 6 7 4 5 6 7 OD 4 5 4 6 4 7 5 6 5 7 6 7

14 6000 deposit at an APR of 3 with daily compounding for 7 years

19 You intend to create a college fund for your baby If you can get an APR of 3 0 and want the fund to have a value of 119 906 after 16 years how much should you deposit monthly

K Determine whether the following pair of sets is equivalent Justify your answer 4 8 12 and a e i Are the sets equivalent OA No the two sets do not have any of the same elements B Yes both sets are subsets of larger sets OC Yes both sets have the same number of elements O D No neither set is a subset of the other C

Estimate the percentages a 50 of 7 985 3992 5 b 33 of 2 100 33 70000

K Decide whether the following statement is true or false x x is a letter in the word baggy y y is a letter in the word baggier Is the statement true or false OA The statement is false because not every element of the second set is an element of the first set OB The statement is true because every element of the first set is an element of the second set OC The statement is false because not every element of the first set is an element of the second set OD The statement is true because at least one of the elements of the first set is an element of the second set

3 Replace the with either E or to express a true statement Maine x x is a state north of Florida Maine x x is a state north of Florida

8 Stephen sets up an IRA with an APR of 4 at age 26 At the end of each month he deposits 57 in the account How much will the IRA contain when he reaches 65

12 1620 is invested at an APR of 3 for 15 years

Replace the with either E or to express a true statement Isaac Newton y y is a living Swedish playwright Isaac Newton Vy y is a living Swedish playwright E

15 A 7000 deposit in an account with an APR of 3 6 compounded continuously for 5 years

K Use an alternative method to express the following set y y is a day of the week that begins with S Choose the correct answer below OA Saturday B Sunday Monday Tuesday Wednesday Thursday Friday Saturday OC Saturday Sunday OD Sunday OE

11 18 000 is invested at an APR of 8 for 5 year

13 16 000 deposit at an APR of 4 with semiannual compounding for 12 years

1 100

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Find the absolute change and then find the percentage change Round answers to the nearest tenth if necessary 8 The value of Anna s house increased from 160 000 when she bought it 20 years ago to 1 38 million today

9 You invest 500 in an account that pays simple interest of 2 for 7 years

10 You invest 8000 in an account that pays simple interest of 3 for 13 years

7 Keiko pays 340 per month for food a semiannual health insurance premium of 1600 and an annual car insurance premium of 650 Find the monthly cost for budgeting

4 An average 12 ounce can of beer contains about 15 grams of alcohol Consider a person with approximately 4 liters 4000 milliliters of blood who quickly drinks two cans of beer If all the alcohol were immediately absorbed into the bloodstream what blood alcohol content would we find 1

2 The container holds 4 gallons of water How many fluid ounces is that

A warehouse is 42 yards long and 26 yards wide with a height of 13 yards What is the volume of the warehouse

1 A car is driving at 180 miles per hour What is its speed in miles per minute

Assignment 4 8 points Find a minimum spanning tree for the following graphs and Prim s algorithm G G2 3 11 3 3 2 4 15 10 5 12 4 3 4 2 13 5 2 4 1 6 9 7 14 3 5 6 7 ing

Moments after Mortimer thought of Gertrude Gertrude telephoned him Therefore his thinking of her caused her to call This argument is O Strong O Weak O Valid O Sound

Educators have frequently noted the connection between education level and salary The higher a person s education level is the higher his or her annual salary is likely to be Education increases people s earning power This argument exemplifies which of Mill s methods Concomitant Variation O Agreement O Joint Method of agreement and difference Difference

Whenever we have great roses like this it s always been after a long period of cloudy weather Must be they don t like direct sun Which of Mill s methods is exemplified in this passage O Agreement O Difference O Concomitant Variation O Residues