Complex numbers Questions and Answers

You just bought a new Sony 55 3D television set for 2300 The TV s value decreases at a rate of 250 per year Construct a linear function model to represent the value of the TV over time in years Clearly indicate what your variables represent and show your work

1 Kim has 8 dollars less than twice Ricky Ifter Ricky has dollars how much money do they have together 80 Kim 8 Rick X A 3x 8 B 3 8x C 3x 8 0 8 3x 8

An amniocentesis is used to extract fetal DNA to arrange and photograph it and to check for any genetic

Question 10 Compute the value of the complex number 3 and express your answer in rectanuglar form atbi Give an exact answer Wlout Calc

For what values of x is the inequality x 5 3 true Oxs 2 Ox 8 Ox 2 x28

Choose the graph of y logs z 4 31 80 Ra 40 7 66 5 4 6 8 5649 Pr 9 O O 20449 N 15 6 19 2 7 9 Sa 9 4 M 2

Choose the graph of y logs 9 2 3 654 6 54 8 to 74 2 6 5 CH to O 6 4 6 5 4 9 15 k 2 6 56 9 56 6 4 2 1 2 3 4 5 6 17 4 5 6

Rewrite the following in exponential form 49 b log 12 z c ln x 5 a log7 2 20

Question 1 14 29 points Sine Graphs Determine the amplitude of the following Sine graph 02 37 9 4 5 O 6 5 O Question 2 14 29 points 121 4

5 Let G be a commutative group G n and m be a divisor of n Prove that G has a subgroup of order m

In August 2008 a car manufacturing company was offering the choice of a 3 2 loan for 48 months or 7000 cash ba on the purchase of a 25 367 car a If someone took the 3 2 loan offer how much will the monthly payment be b If someone took the 7000 cash back offer and can borrow money from their local credit union at 6 9 interest compounded monthly for four years how much will the monthly payment be c Which of the two offers is more favorable a The monthly payment someone would pay for the 3 2 loan offer would be Round to the nearest cent as needed

At time t 0 a particle is located at the point 4 1 3 It travels in a straight line to the point 1 7 5 has speed 4 at 4 1 3 and consta acceleration 3i 6j 2k Find an equation for the position vector r t of the particle at time t The equation for the position vector r t of the particle at time t is r t Type exact answers using radicals as needed i j k

du courses 534245 assignments 11437233 module item id 37024997 Determine the domain writing your answer in interval notation use Determine the range writing your answer in interval notation Determine the horizontal asymptote y Draw the graph of f x 5 1 Note that the first point will mark the horizontal asymptote Then you of f x 5 1 10 9 8 7 6 5 4 3 2

Consider a hypothetical economy in which the marginal propensity to consume MPC is 0 8 The following graph shows the aggregate demand curves AD and AD the short run aggregate supply curve SRAS and the long run aggregate supply curve LRAS The economy is currently at point A PRICE LEVEL 140 138 132 128 124 120 116 112 108 200 300 LRAS The economy is currently experiencing AD AD SRAS 124 400 500 600 700 800 REAL GDP Billions of dollars 900 1000 gap of billion

Mina s Catering Service is organizing a formal dinner for no more than 280 people The hall has two kinds of tables one that seats 4 people and one that seats 10 people x number of 4 seat tables y number of 10 seat tables

2 Find the vertex of y x 7x 4 using the vertex formula This problem will not accept decimal answers Please use fractions only Step 1 Find the x coordinate of the vertex For any parabola y Ax Bx C the x coordinate of the vertex will always be B 2 A Using this formula what is the x coordinate of the vertex for the parabola y x 7x 4 2 0 X Step 2 Find the y coordinate of the vertex Give the vertex of the parabola y x 7x 4 as a point

An example of simple interest is a certificate of deposit or CD as they re more commonly known This is an investment where you agree to leave your deposi untouched for a fixed amount of time and in exchange you are guaranteed a certain percentage interest Below are some CD rates listed in a recent month on banking website for CDs with a 2 year term Use the percentage listed in the APY column as the interest rate 2 yr CD Bank Institution Live Oak Bank MFC Synchrony Bank EVER FO Selle Mae C APY 2 85 As of Fri Feb 15 You and 2 80 As of Fri Feb 15 2 75 As of Fri Feb 15 Term 2 yr 2 yr 2 ST Min Deposit 2900 2000 2900 For a 2900 investment how much more interest would you earn if you chose Live Oak Bank over Salle Mae

Multiple Cholce With each subsequent payment on an installment note the amount of Interest expense Increases With each subsequent payment on an installment note the amount of the principal pald decreases With each subsequent payment on an installment note the amount of the principal pald remains unchanged With each subsequent payment on an Installment note the amount of Interest expense decreases

The probability that a randomly selected teenager studied at least once during a week was only 0 63 What is the probability tha less than half of the students in your study group of 10 have studied in the last week Round your answer to two decimal places

Use the graph to determine a solution of the equation Use synthetic division to verify that this number is a solution of the equation Then solve the polynomial equation x 5x 18x 72 0 125 y x 5x 18x 72 0 125 Which solution of the equation can be determined from the graph The solution is 0 5 1 by 125 125 25 LO O G

Use synthetic division and the Remainder Theorem to find the indicated function value f x 2x 7x 2 3x 2

2x 2x 4x x 4 2x 2x 4x H x 4 X 4 Simplify your answers Do not factor Use integers or fractions for any numbers in the expressi

Q1 3 Use the square root property to solve the equation Write complex number solutions in the form atbi 1 x 25 0 81 0

Choose the graph of y logg 7 Next Question

Which list shows only irrational numbers 77 99 T 13 32 7 7 0 2 A 29 7 T B C D 12 08 6 314 Z 15 T 5 4 13

Solve the equation by graphing the related function x 169 0

2 The slope of the tangent line to the curve f x at 2 8 is 4 Given f x is invertible find th equation of the tangent line to f x at x 8

Find the orthogonal projection of v 181 projv v 121 H 6 onto the subspace V of R spanned by 8 7 2 and

Which sequence of transformations will yield the graph of g x 2 4 O Horizontal shift 9 units to the left Vertical shift 4 units down O Horizontal shift 4 units to the left Vertical shift 9 units up O Horizontal shift 9 units to the right Vertical shift 4 units up O Horizontal shift 9 units to the left Vertical shift 4 units up O Horizontal shift 4 units to the right Vertical shift 9 units down O Horizontal shift 9 units to the right Vertical shift 4 units down

Previous You deposit 6000 in an account earning 5 interest compounded continuously How much will you have in the account in 15 years

For the function f x 3 calculate the following function values f 3 f 4

Given the parametric equations below eliminate the parameter t to obtain an equation for y as a function of X x t 4 t y t 7t 2

Multiple Choice O Accrual of Interest on a note payable Paid Interest on a note payable Issued a note to purchase equipment

Find the Circumference of a circle with a diameter of 9 cm round to 2 decimal places 1

Simplify Enter the result as a single logarithm with a coefficient of 1 To enter the log click in the answer cell then click on the small yellow arrow on the right Then click the Functions tab to access the log If needed you can change the base Using the keyboard you can also enter log3 524 as log 3 5x 4 log 4x log5 11x 11

Express as a sum or difference Use the Product to Sum formulas sin 8t sin 2t 1 2 cos 6t cos 101

a Find the series radius and interval of convergence Find the values of x for which the series converges b absolutely and c condition 1 x 3 n3 n 1 a The radius of convergence is Simplify your answer Determine the interval of convergence Select the correct choice below and if necessary fill in the answer box to complete your choice OA The interval of convergence is Type a compound inequality Simplify your answer Use integers or fractions for any numbers in the expression OB The series converges only at x Type an integer or a simplified fraction O C The series converges for all values of x b For what values of x does the series converge absolutely Select the correct choice below and if necessary fill in the answer box to complete your choice OA The series converges absolutely for Type a compound inequality Simplify your answer Use integers or fractions for any numbers in the expression B The series converges absolutely at x Type an integer or a simplified fraction O C The series converges absolutely for all values of x c For what values of x does the series converge conditionally Select the correct choice below and if necessary fill in the answer box to complete your choice A The series converges conditionally for Type a compound inequality Simplify your answer Use integers or fractions for any numbers in the expression B The series converges conditionally at x Type an integer or a simplified fraction Use a comma to separate answers as needed OC There are no values of x for which the corios convorges conditionally

Solve the system of equations y 3x 2 y 3x 2 The solution is a y Enter DNE for both if no solution exists

The graphs of ax by C cx dy e are shown 5 4 3 2 1 321 123 4 5 S 2 3 4 5 The solution to this system of equations is a Enter DNE for both if no solution exists y

Solve the system of equations 3x 2y 2 6x 4y 1 The solution is x y Enter DNE for both if no solution exists

ain gutter is formed by bending up the sides of a 42 in wide rectangular metal sheet as shown in the figure width a Find a function that models the cross sectional area of the gutter in terms of x A x b Find the value of x that maximizes the cross sectional area of the gutter in c What is the maximum cross sectional area for the gutter in

Use a graphing utility to approximate the solutions of the equation in the interval 0 2e If possible find the exact solutions algebraically Enter your answers as a comma separated list 5 sin 2x 5 cos 2x 25 3x 4 2 4 x

Find the minimum and maximum values of z 2x 4y if possible for the following set of constraints 3x 6y 18 x 6y 12 x20 y 20 KTER Select the correct choice below and if necessary fill in the answer box to complete your choice A The minimum value is Round to the nearest tenth as needed minimum value

Question 9 Rewrite the logarithmic equation log4 16 H 16 04 2 04 2 16 4 16 2 in exp

4 56 Determine the reactions at A and B for the beams loaded Beam weight may be neglected in all cases 15 kN m Am 3m 5 m FIGURE P4 56 20 kN m 6 m B TITIT FI

stion 3 fy the the value of the function f x log 10 Take Quiz defined

Half life include units Hide Transcribed Text 1 point Find the half life in hours of a radioactive substance that is reduced by 10 percent in 5 hours include units Half

8 TB MC Qu 08 103 Static Plerce Corporatio Pierce Corporation a U S business is a direct competito 35 000US

TB TF Qu 08 189 Static Tangible assets include Tangible assets include land equipment and goodwill True or False True False

Chapter QUIZ 6 TB MC Qu 08 47 Algo Laramie Compan Laramie Company paid 1 600 000 for a purchase tha been purchased separately Land 374 000 Building