College Math - Others Questions

10 Manny a single taxpayer earns 66 800 per year in taxable income and an additional 12 180 per year in city of Boston bonds If Manny earns an additional 36 800 in taxable income in 2023 what is his marginal tax rate on this income Use tax rate schedule Note Do not round intermediate calculations Round your final answer to two decimal places 00 30 03 Multiple Choice 15 20 percent 22 00 percent 22 45 percent 24 00 percent A

7 0 23 46 Which of the following is not required to determine the best timing strategy Multiple Choice O O O O O The taxpayer s after tax rate of return The taxpayer s tax rate this year The taxpayer s tax rate in future years The taxpayer s tax rate last year None of the choices are correct

Jamison s gross tax liability is 8 950 Jamison had 2 410 of available credits and he had 5 450 of taxes withheld by his employer What are Jamison s taxes due or taxes refunded with his tax return Multiple Choice 1 090 taxes due 6 540 taxes due 3 500 taxes due 1 090 tax refund B

25 35 Rolando s employer pays year end bonuses each year on December 31 Rolando a cash basis taxpayer would prefer not to pay tax on his bonus this year So he leaves town on December 31 2022 and doesn t pick up his check until January 2 2023 When should Rolando report his bonus Multiple Choice O O 2023 2022 Rolando can choose the year to report the income More information is required to make the recommendation None of the choices are correct

00 32 24 If Julius has a 22 percent tax rate and a 9 percent after tax rate of return 32 500 of income in three years will cost him how much tax in today s dollars Use Exhibit 3 1 Note Round discount factor s to three decimal places Multiple Choice 5 520 25 090 7 150 32 500 None of the choices are correct Sub

Let x be a random variable that represents hemoglobin count HC in grams per 100 milliliters of whole blood Then x has a distribution that is approximately normal with population mean of about 14 for healthy adult women Suppose that a female patient has taken 10 laboratory blood tests during the past year The HC data sent to the patient s doctor are as follows 14 17 16 19 14 12 15 16 15 12 S LUSE SALT a Use a calculator with sample mean and standard deviation keys to find x and s in grams per 100 ml Round your standard deviation to four decimal places x 15 g 100 ml x 9 100 ml b Does this information indicate that the population average HC for this patient is higher than 14 Use a 0 01 1 What is the level of significance 0 01 State the null and alternate hypotheses in grams per 100 ml Enter for as needed Hoi A 14 H 14 ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the standard normal since we assume that x has a normal distribution and a is unknown We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and a is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places

Use an annual growth rate of 0 9 in a 20 year period for a certain population to find the approximate doubling time and then predict the population in 2050 based on a 2000 population of 3 0 billion What is the approximate doubling time 78 years Round to the nearest whole number as needed What will be the approximate population in 2050 billion Round to the nearest tenth as needed

Determine whether the set together with the indicated operations is a vector space If it is not then identify one of the vector space axioms that fails The set of all 4 x 4 nonsingular matrices with the standard operations O The set is a vector space The set is not a vector space because it is not closed under addition The set is not a vector space because the associative property of addition is not satisfied The set is not a vector space because the distributive property of scalar multiplication is not satisfied The set is not a vector space because a scalar identity does not exist

Describe the additive inverse of a vector in the vector space C The additive inverse of f x is f x The additive inverse of f x is f x The additive inverse of f x is f y The additive inverse of f x is f y O The additive inverse of f x is f x The additive inverse of f x is f y

Describe the zero vector the additive identity of the vector space P3 x x 3

A nonprofit consumer organization stated that the average time for a particular car to go from 0 to 60 miles per hour was 8 6 seconds a If you want to set up a statistical test to challenge the claim of 8 6 seconds what would you use for the null hypothesis in seconds Enter for as needed Ho 8 6 b The town of Leadville Colorado has an elevation over 10 000 feet Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville because of less oxygen What would you use for the alternate hypothesis in seconds Enter for as needed Enter inequalities using less than greater than less than or equal or greater than or equal 2 c Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced What would you use for the alternate hypothesis in seconds Enter for as needed H Enter inequalities using less than greater than less than or equal or greater than or equal 2

Let u 1 2 3 v 2 2 1 and w Z E 4 0 4 Find z where 2u v w 3z 0

Solve for w where u 1 1 1 0 and v 0 2 1 3 2w u5v W

Solve for n 7 200 40 300 n Round to two decimal places

Write v as a linear combination of u and w if possible where u 3 2 and w 3 1 Enter your answer in terms of u and w If not possible enter IMPOSSIBLE V 6 1 V

As a surveyor you are responsible for subdividing regular and irregular shaped lots into areas of equal size Your services have been requested by a family that needs to divide a trapezoidal lot Here are the details of your task The lot has bases measuring 60m and 35m The perpendicular depth of the lot is 110m The lot is to be subdivided into two equal lots by a line parallel to the bases Given this information find the distance from the 60m base to the line parallel to both bases 1 Draw an accurate representation of the information provided included all the 3 points given measurements and any variables you need In the space below show all work used to solve the problem 7 points

which one of the follwoing is a valid and correct method overloading A public int sum int a int b public int sum int a int b B public double sum int a int b public int sum int a int b C I public int sum int a int b int c public int sum int a int b D public static void sum int a public int sum int a double b

Given the table of values of x and y find the slope and the y value of the y intercept X 2 6 11 y 20 40 65 a Slope b y intercept

Choose the correct logarithmic forms for the following equations a 54 625 o log 4 5 625 o log 4 625 5 o log 625 4 o log 5 625 4 b 6 216 O log 216 3 O log6 216 3 o log 3 216 6 o log 3 6 216

Evaluate 8 log 4 64 7

Divide the polynomial 49 x by 7 x Reduce your answer to lowest terms 0 7 x 07 x 0 14 x

a A 5 20 O Quadrant I O Quadrant II O Quadrant III O Quadrant IV b B 3 12 O Quadrant I O Quadrant II O Quadrant III O Quadrant IV c C 6 12 O Quadrant I O Quadrant II O Quadrant III O Quadrant IV

Solve the system of equations by using either the Substitution or the Elimination method X 8 y 0 0 8x 0 2y 0 9 0 6x 0 4y 0 4

The perimeter and area of an envelope are known to be 68 cm and 64cm respectively We can find the dimensions by solving the equation x 34x 64 0 Factored the left side of this equation gives O x4 x 16 O x 2 x 17 O x 2 x 32

Factor fully 9x 121 0 3x 11 3x 11 O 3x 11 3x 11 O 3 11x 3 11x

Solve for x by rewriting in exponential form log 14 x 2 x

Express the following expression as a single natural logarithm Choose the correct answer 2 ln 2 3 ln 3 2 In 5 O 0 In 3 Oln 07 O In In 108 25 31 25

Determine expression is simplified P 9 m n the coefficients p and q and exponents m and n when the following III 3 4x3 5y5 Pxm qy

Simplify the expression x y 6 x 4 What s the sum of the coefficients of x and x

Factor fully 32x y 56x y O x4y 32y 56x O 8x4y 4x 7y O 8x4y 4y 7x 08 4x4y 7x5y

Simplify the algebraic expression Ex 6 x 5 2x 18

Determine whether the points are coplanar 1 3 7 1 3 7 1 3 7 1 3 7 coplanar O not coplanar

Derivatives Course Packet on basic rules of differentiation If f x f x 8 3x 13 Submit Answer I 1 Rointel compute f x WA an example of the

Determine the equation of the line tangent to the curve y 3 3 x 1 at the point 3 12 Submit Answer

Derivatives Course Packet on basic rules of differentiation an exam Let f x 2x2 9x 6 9 2 Compute f x f x Submit Answer

Determine the equation of the line tangent to the curvey XV 3x 39 at the point 4 12 y

Let f x f x 4x 6 6 2x 7 7 3 Submit Answer Compute f x

Derivatives Course Packet on basic rules of differentiation an example of the p Let f x 2x 5 3x2 5 4 Compute f x f x Submit Answer

Math 110 Course Resources Derivatives Course Packet on basic rules of differentiation an example of the Let f x 7x 5 7x2 3 5 Compute f x f x

If f x f x 10 x 1 Submit Answer I compute f x Hint Avoid using the quotient rule by rewriting f x in a more appropriate form

P atives Course Packet on basic rules of differentiation an exar Let f x x 7x2 6 5 Compute f x f x Submit Apgu

Let f x 3x 4 Compute f x f x

Let A x y z w and MR the Boolean matrix of the relation R on A If MR O a R is a poset O b R is an equivalence relation O c None O d R is asymmetric 0 1 1 1 0 0 0 1 0 1 00 0 0 0 0 Then

Swered Marked out of 1 00 O b negation of the statement There exists an integer x x 1 or x 6 xe x 1 and x 6 VxEZ x 6 or x 1 3x EZ x 6 or x 1 LAS SEPT IN NEWAR Time left 1 41 54 VxEZ x 1 and x 6 VxEZ x 6 or x 1 3x EZ x 6 or x 1 VXEZ xZ6 and x 1 O The negation of the statement There exists an integer D Quiz Lana J 8 15 Te 22 23 Finish at

If w is irrational and v is rational then 3w 5v is irrational Proof Assume 3w 5v is rational then 3w 5v where a b e Z b 0 Then 3w 5v Since is rational then t c de Z and d 0 Then 3t 5 frac ad 5bc bd where ad 5bc bd Z and bd 0 where ad 5bc bd Z and 3bd 0 Hence to Then w is a rational number This is a contradiction The flaw in the previous proof if exists is corrected by assuming that Oate is an irrational number O a 3d w is an irrational number O b god a b 1 Oc a b are positive integers O d w is an irrational number and e is rational

A savings account advertises an annual percentage yield APY of 5 7 which means that the balance in the account increases at an annual growth rate of 5 7 yr a Find the balance in the account for t20 with an initial deposit of 1000 assuming the APY remains fixed and no additional deposits or withdrawals are made b What is the doubling time of the balance c After how many years does the balance reach 4500 a Use the exact value of k when finding the balance in the account The balance in the account is y t 0 Type an expression using t as the variable

In 1965 Gordon Moore observed that the number of transistors that could be placed on an integrated circuit was approximately doubling each year and he predicted that this trend would continue for another decade In 1975 Moore revised the doubling time to every two years and this prediction became known as Moore s Law Complete parts a and b below a In 1980 a company introduced a processor whose integrated circuit chips each contained 27 000 transistors Use Moore s revised doubling time to find a function y t that approximates the number of transistors on an integrated circuit chip t years after 1980 Use the exact value of k y t Type an expression using t as the variable

1 The pressure gauge in an air cylinder reads 2000 kPa The cylinder is constructed of a 15 mm rolled steel plate with an internal diameter of 800 mm The tangential stress MPa inside the tank is

2 1 ft rod with a diameter of 0 9 in is subjected to a tensile force of 1 000 lb and has an elongation of 0 01 in The modulus of elasticity ksi of the material is

The piston of a steam engine is 50 cm in diameter and the maximum steam gauge pressure is 1 4 MPa If the design stress for the piston rod is 68 MPa its cross sectional area m should be most nearly P 1 4 MPa 50 cm rod