Math - Others Questions

In the absence of immunization a certain disease is contracted at an average age a If b percent of the population is immunized at birth then the average age at which the disease is contracted is given by 99a A 100 b We think of a as a constant so A is a function of b Find the vertical asymptote for A Express numbers in exact form Use symbolic notation and fractions where needed Give your answer in terms of b vertical asymptote Wh contracting the dicence

S The equity sections for Atticus Group at the beginning of the year January 1 and end of the year December 31 follow Stockholders Equity January 1 Common stock 4 par value 100 000 shares authorized 30 000 shares issued and outstanding Paid in capital in excess of par value common stock Retained earnings Total stockholders equity Stockholders Equity December 31 Common stock 4 par value 100 000 shares authorized 35 200 shares issued 4 000 shares in treasury Paid in capital in excess of par value common stock Retained earnings 40 000 restricted by treasury stock Less cost of treasury stock Total stockholders equity The following transactions and events affected its equity during the year January 5 March 20 April 5 July 5 July 31 August 14 October 5 Declared a 0 40 per share cash dividend date of record January 10 Purchased treasury stock for cash Declared a 0 40 per share cash dividend date of record April 10 Declared a 0 40 per share cash dividend date of record July 10 120 000 80 000 320 000 520 000 Declared a 208 stock dividend when the stock s market value was 12 per share Issued the stock dividend that was declared on July 31 Declared a 0 40 per share cash dividend date of record October 10 140 800 121 600 420 000 682 400 40 000 642 400

D ok nt nces Common stock 12 par value Paid in capital in excess of par value common stock Retained earnings In the fourth quarter the following entries related to its equity are recorded Date October 2 October 25 October 31 November 5 December 1 December 31 General Journal Retained Earnings Common Dividend Payable Common Dividend Payable Cash Retained Earnings Common Stock Dividend Distributable Paid In Capital in Excess of Par Value Common Stock Common Stock Dividend Distributable Common Stock 12 Par Value Memo Change the title of the common stock account to reflect the new par value of 4 Income Summary Retained Earnings Common stock Common stock dividend distributable Paid in capital in excess of par common stock Retained earnings September 30 Beginning Balance 480 000 90 000 360 000 Required 2 Complete the following table showing the equity account balances at each indicated date 480 000 90 000 360 000 Debit 80 000 80 000 67 000 32 000 220 000 Credit 80 000 80 000 32 000 35 000 32 000 220 000 October 2 October 25 October 31 November 5 December 1 Check my December 31

pped Book Print rences Kohler Corporation reports the following components of stockholders equity at December 31 of the prior year Common stock 10 par value 100 000 shares authorized 45 000 shares issued and outstanding Paid in capital in excess of par value common stock Retained earnings Total stockholders equity During the current year the following transactions affected its stockholders equity accounts January 2 Purchased 4 000 shares of its own stock at 15 cash per share January 5 February 28 July 6 August 22 September 5 Directors declared a 4 per share cash dividend payable on February 28 to the February 5 stockholders of record 450 000 70 000 370 000 890 000 Paid the dividend declared on January 5 Sold 2 000 of its treasury shares at 19 cash per share Sold 2 000 of its treasury shares at 11 cash per share Directors declared a 4 per share cash dividend payable on October 28 to the September 25 stockholders of record October 28 Paid the dividend declared on September 5 December 31 Closed the 368 000 credit balance from net income in the Income Summary account to Retained Earnings Required 1 Prepare journal entries to record each of these transactions 2 Prepare a statement of retained earnings for the current year ended December 31 3 Prepare the stockholders equity section of the balance sheet as of December 31 of the current year Complete this quest Check my work

2 es Required information The following information applies to the questions displayed below Raphael Corporation s balance sheet shows the following stockholders equity section Preferred stock 5 cumulative par value 1 000 shares authorized issued and outstanding Common stock par value 4 000 shares authorized issued and outstanding Retained earnings Total stockholders equity Required 1 Determine the par values of the corporation s preferred stock and its common stock Corporation s preferred stock Corporation s common stock Par Value 80 000 120 000 340 000 540 000

ed k 3 ces Kinkaid Company was incorporated at the beginning of this year and had a number of transactions The following journal entries impacted its stockholders equity during its first year of operations Transaction a b C d Cash Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Organization Expenses Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Cash Accounts Receivable Building General Journal Notes Payable Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Cash Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Required 2 How many shares of common stock are outstanding at year end 3 What is the total paid in capital at year end 2 Number of outstanding shares 3 Total paid in capital Debit 260 000 150 000 44 000 16 000 82 600 146 000 Credit 230 000 30 000 126 000 24 000 59 800 52 800 30 000 79 000 67 000 Check my w

To 0 17 f 0 1 0 X 4 8 1 X 0 0 9 1 47 4 3 6 8 9

3 d Suppose that E4 2 2 Find E4 and E E4 E e Suppose that E5 Find E5 and E5 E5 5 1 5 2 4 3 5 1 2 5 2 2 4 1 ser 2255914 22 3 5 1 8 20 8 2 4 3 5 1 4 1 5 2

1 point Consider the following Gauss Jordan reduction 24 3 1 0 0 0 Find E E2 87 1 6 0 24 3 01 0 0 0 0 1 E A E3 10 3 0 1 24 0 E E A 00 00 Write A as a product A E E E E of elementary matrices 7 1 6 EA 1 0 8 1 0 0 1 6 100 0 0 1 EE E A 0 I 1 0 0 EEEEA

a Suppose that E 1 88 E b Suppose that E2 89 E2 E3 c Suppose that E3 T 8 E 5 Ez 3 4 25 11 Find E2 and E 12 27 Find E and E 8 Find E3 and E

1 point Write X E 3 1 9 9 as a product X E E2 E3 of elementary matrices E2 291 E3 29

Assignme 1 point Problem 27 a Find the inverse of the matrix A A b Use the answer from part a to solve the linear system 5x1 3x 1 5 10 397 5 21 2 8 888 3 1 10x2 39x3 5x2 21x3 2x2 8x3 A 18 2 3 4

f The elementary matrix E6 multiplies the third row of B by 3 E6 E g The elementary matrix E7 switches the first and third rows of B E7 E7 h The elementary matrix Es adds 3 times the third row of B to the second row of B Es

f Suppose that E6 ge qc ca webwork2 105zahrai Assignment4 1 effectiveUser 2255914 Find 6 and 6 00 000 00 E6 E 1 3 2 2 5 1 5 2 4 1 3 5 2 19 11 5 2 31 6

1 point Let E be the 3 x 3 matrix that corresponds to the row operation R3 R3 3R a Find E 25 39 157 b Find EA where A 34 20 18 39 31 19 E

1 point Solve for X 29 0 X em 23 2 3 X 3 8 5 7 5

1 point E Assume that A is a matrix with four rows Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed Then find E and give the elementary row operation corresponding to E 6R3 R3 E 1 ment DE D Problem 7 L The elementary row operation corresponding to E is O A R3 R2 R3 OB R3 R3 OC R R

In each part find the matrix X solving the given equation 171x X a b 1 J x X C d e 4 f 4 17 1 0 0 1 0 X X X 0 COO 0 X 6 3 8 9 9 4 X X X 0 0 1 0 1 0 X 4 3 1 00 8 82 8 2 9 2 4 4 X ak 9 1 4 6

1 point Solve for the matrix X if AX D BX C Assume that all matrices are n x n and invertible as needed X Preview My Answers Submit Apew

g 100 1 9 1 0 X 5 6 87 4 2 0 X 9 5 3 3 C 00 100

point en A A 4 21 0 0 1 5 0 0 0 0 1 5 3 16 000

1 point Give a 3 x 3 elementary matrix E which will carry out the row operation R R3 E 000 Test that E actually works for carrying out this row operation by computing the product EA for the matrix 1553 2 4 11 5 15 24 1531 2 EA 0000 A Note In order to get credit for this problem all answers must be corrent

en A A 1 0 0 07 5100 5 5 10 9 7 1 1 00

Assignment4 Problem 12 1 point The inverse of the matrix is where b11 b12 b21 b22 Note You can A A 3 6 b11 b12 b21 b22

1 point Let Find A and use it to solve where where x1 and 2 A 3 3 5 AX B B X Note In order to get credit for this problem all answers must be correct 3 24 X2

1 point Consider the following two systems a b 2x y 1 x y i Find the inverse of the common coefficient matrix of the two systems system a and B Solution to system a x Solution to system b x for system b 2 3 E 1 2x y 1 x y 2 ii Find the solutions to the two systems by using the inverse i e by evaluating A B where B represents the right hand side i e B 1 881 23 2

If then A Given b x A 1 5 solve Az b 1 1 6 A 4 5 23 1 1 5

1 point Select all statements below which are true for all invertible n x n matrices A and B OA A In is invertible OB In A In A In A Oc A B A B A B OD A is invertible

Assignment4 Problem 26 1 point Find the inverse of the matrix The inverse is 1 2 27 44 A 0 1 1 3 0 0 A 2

1 point Find the inverse of AB if 1 4 4 2 83 4 3 0 4 A 1 and B AB 001

Let Then where a11 a13 921 0 a12 a22 Preview My Answers Submit Answers A A 1 a23 1 1 Note In order to get credit for this problem all answers must be correct 2 0 28 9 5 a11 a12 a13 a21 a22 a23 a31 a32 a33 0 931 0 a a32 a33

Solve the system of equations 3x 6y z 5 x y z 1 x 2y 2 by converting to a matrix equation and using the inverse of the coefficient matrix x

Let X A Give an example of two 2 x 2 matrices A and B neither of which is the identy matrix I such that AB X 6 1881 188 B

Assignment4 Problem 6 1 point Assume that A is a matrix with three rows Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed R R 1888 E 00

2 5 points A baseball player s batting average is the number of hits H divided by at bats AB Jeff Squirrel enters the last game of the season leading the league with an average of 326 174 H 533 AB Use linearization or differentials to estimate the effect on batting average of a hit in the next at bat versus an out Compare these estimates with the actual change

Match each graph to one of the following functions Select the function for each graph from the given options

Find the complex zeros of the quadratic function h x x 12x 52 O 6 41 6 4i 6 41 6 16i 6 16i 10 2

problem A projectile is thrown upward so that its distance above the ground after t seconds s h 1212 528L After how many seconds does it reach its maximum height 44 s 11 s 22 s 33 s

5 i is a zero of a quadratic equation with real coefficients Find the other zero 5 i 5 i 5 i 5 i

Find coordinates of the vertex for the quadratic function 2 x x a The x coordinate of the vertex is 8x 3 integer or a simplified fraction

A ball is thrown vertically upward from the top of the building 144 feet tall with an initial velocity of 128 feet per second The distance 8 in feet of the ball from the ground after t seconds is S 144 128t 16t2 After how many seconds does the ball strike the ground O 8 sec 9 sec 145 sec 11 sec

Solve the inequality x2 3x 4 4 00 1 4 1 or 4 0 1

If a rocket is propelled upward from ground level its height in meters after t seconds 9 8t 68 6t Use the graph below to determine is given by h t during what interval of time will the rocket be higher than 98 m Ah 132 110 88 66 44 22 0 0 5 t

The manufacturer of a CD player has found that the revenue R On daris p 10o when the unit price is p dollars If the manufactures sets the price to maximize revenue what is the maximum revenue to the nearest whole dollar 118 810 59 405 475 240 237 620

What is the domain of the function O 6 U 6 O 6 0 O 6 6 O 36 f x 36 All real numbers

Use the given figure to solve the inequality f x g x y f x 5 5 C y g x X

Find an equation for the line with the given properties The solid line L contains the point 1 4 and is perpendicular to the dotted line whose equation is y 2x Give the equation of line L in slope intercept form C

Find the real zeros of the function 2x 2 2 8 2x 2 15 x 1 12 x x x 25 x 1 2

Suppose that f x x 3 and g x x 11 a Solve f x 0 b Solve g x 0 c Solve f x g x a x 3 b x 11 c x 4 a x 3 b x 11 c x 7 a x 3 b x 11 c x 4 a x 3 b x 11 c x 4

Which of the following transformations of y f x x x 4 4 5 Horizontal shift 4 units left and vertical shift 5 units down Horizontal shift 4 units right and vertical shift 5 units down Horizontal shift 4 units right and vertical shift 5 units up Horizontal shift 4 units left and vertical shift 5 units up