Linear Algebra Questions and Answers

Gwyneth deposits 800 at the end of every three months in her account earning 6 annually compounded quarterly What will be the balance in the account after five years For the toolbar press ALT F10 PC or ALT FN F10 Mac Ev A P Y T K 60

QUESTION 8 Lisa has decided to invest 3000 at the end of each six months for the next five years in a savings account that pays 8 per annum compounded semi annually Det amount of the annuity For the toolbar press ALT F10 PC or ALT FN F10 Mac 10pt M RE 111 Al T 0 1 O

Janis wants to save 8200 over the next 4 years to help pay for her first year of college How much would she have to deposit at the end of every 6 months in an account The account pays 6 2 per annum compounded semi annually For the toolbar press ALT F10 PC or ALT FN F10 Mac

Calculate the amount of each annuity a 2800 is deposited at the end of every year for 12 years at 6 per annum compounded annually 2100 in doppgitod of the ond of over 6 months for 11 years at 8 per annum compounded semi annually

How many cubic centimeters of water will a rectangular fish tank hold if the tank is 90 cm long 60 cm wide and 20 cm high When appropriate use the x key on your a If1 cm holds 1 mL of liquid how many milliers will the tank hold if 1 L 1 000 ml how many liters will the tank hold The tank will holdcm of water The tank will hoidmL of water The tank will hold L of water

The table to the right contains information about a shopping cart full of jars of taco sauce that must be stocked on a shelf Assume that all jars are the same size and shape If a stock clerk elects one jar at random to place on the shelf determine the probability he selects a jar of Irand B taco sauce Brand B taco sauce Simplify your answer CELER Brand Brand A Brand B Brand C Brand D Total Mild 2 9 6 1 18 Medium 9 B 9 4 30

e probability that an event occurs is 0 2 the probability that the event does not occur is probability the event does not occur is be an integer or a decimal

ecessar 8 Use the quadratic formula to solve each of the following for x Use two decimal places where neces K 5 3x 5x 1 0

m s The total distance traveled before stopping can be I be determined from the use of the fundamental forms Each student is required to work the problem on paper make a graph of the position vs time velocity vs time and the acceleration vs time using the Excel software and individually submit their own work Homework format specified in the Homework Submission Guide First Name or Initial GIVEN FIND SOLUTION Middle Name s or Initial s 1 2 3 Actual Date of your Submission 4 Course Number Homework Submission Due Free Body Diagrams Other Graphical Tools Work should be Neat Date MM DD REQUIRED HOMEWORK FORMAT Homework Submission Instructions Staple papers in upper left corner of the page Repeat title format given above for each page For better problem illustration or solution determination use or draw Diagrams Problem Number Page Number Total Number o Pages

You plan to take out a 30 year fixed rate mortgage for 275 000 Let P r be your monthly payment if the interest rate is r per year compounded monthly Interpret the equations as P 1648 75 and b P 6 176 80 a Interpret P 6 1648 76 Select the correct answer below A If the interest rate on the mortgage is 7 the monthly payment will be 176 80 B If the interest rate on the mortgage is 6 the monthly payment will be 1648 76 C If the interest rate on the mortgage is 7 the monthly payment will be 1648 76 D If the interest rate on the mortgage is 6 the monthly payment will be 176 80 b Interpret P 6 176 80 Select the correct answer below OA If interest rate decreases from 7 to 6 the monthly payment will be approximately 1648 76 B If the interest rate increases from 6 to 7 the monthly payment will decrease by approximately 176 80 OC If the interest rate decreases from 7 to 6 the monthly payment will increase by approximately 1648 76 OD If the interest rate increases from 6 to 7 the monthly payment will increase by approximately 176 80

A rectangle is loom long and occm brond and the range of 20 cm if the perimeter of the rectangle is not greater than boom and not less than 2eme

Evaluate the given determinant 13 9 52

28 22 0 04 C 13 72 B and C 87 Let A a Find AB b Find AB C c Find A B C

Graph the feasible region for the system of inequalities x 3y26 3x y 6 Use the graphing tool on the right to graph the feasible region for the system of inequalities Click to enlarge graph 10 B 40 8 6 12 77 de

Dimensions and masses of rectangular blocks and or cylinders made of the same material Dimension 1 cm Cylinder a Cylinder b C d e 1 89 2 19 0 00 0 00 0 00 Dimension 2 cm 2 59 3 10 0 00 0 00 0 00 Dimension 3 cm N A N A Mass g 8 198 0 000 0 000 0 000 0 000 Volume cm Density g cm 3 pts Based on the data you entered and the shape of your object your volume calculation is incorrect Make sure to use the correct formula for your object

2 The price of breakfast cereals rise the demand for milk will increases decreases Which determinant causes this change Which way will the demand curve shift Left or right Draw the new demand curve P D

a Is T linear If so find the standard matrix of T 12 2 2x1 3x2 4x1 5x Define T R2 R by T b Compute T 2 1

3 Calculate the determinant of matrix A by using the cofactor expansion along its third row 2 1 1 3 4 2 0

A study shows the following one generation transition probabilities among four major income groups Eldest Son s Income 10 50 0 35 0 5 0 33 0 1 Father s Income Bottom 10 10 50 50 90 Top 10 Bottom 10 0 47 0 07 0 05 0 01 50 90 0 17 0 39 0 48 0 32 Top 10 0 01 0 04 0 14 0 57 In the long term what percentage of male earners would you expect to find in each category Round your answers to two decimal plac bottom 10 10 50 50 90 top 10

If you drive 5 miles south then make a left turn and drive 12 miles east how far are you in a straight line from your starting point Use the Pythagorean Theorem to solve the problem Use a calculator to find square roots rounding to the nearest tenth as needed O A 13 0 mi O B 2 6 mi O C 10 9 mi D 4 3 mi

1 2 0 F3 t Write an equation in slope intercept form for the line with y intercept 2 and slope 0 0 8 8 08 X 3 2

Find the sum of the first 30 terms of the arithmetic sequence whose first term is 15 and whose common difference is 4 1515 X

Evaluate the expression 3 k 1 1 k k 7

The initial swing of the tip of a pendulum is 45 cm If each swing of the tip is 75 of the preceding swing how far does the tip travel before eventually coming to rest cm

From the procedure Solve the multiplication and division problems below reporting the answer with the correct number of significant figures 2pts 0 1184 cm x 8 00 cm x 0 0345 cm 2pts 42 4 mL 15 6 g 1 265 mL 2pts 35 56 g 1 45 mL 4 8 mL 0 56 min

Find the sum of the even integers between 31 and 99

Find the requested value S4 S4 when Sn 4 27

A function of four variables f x3 x2 x1 x0 is given by f Em 1 3 6 9 11 Id 12 15 Write the inverted function complement in a minimal sum of products form d means don t care condition

Question 3 The following graph GO A D QE None of the above has no Hamilton path has a Hamilto B C has a Hamilton path that starts at A and ends at B OF

X AC BC B A B C B A How do I construct a logic circuit diagram truth table for the above Boolean expression C

Find b2 4ac for the following values Simplify your answers completely a a 3 b 3 c 2 b a 1 b 3 c 2 c a 1 b 2 c 3

Determining a sample space and outcomes for an event A coin will be tossed three times and each toss will be recorded as heads H or tails 7 Give the sample space describing all possible outcomes Then give all of the outcomes for the event that the second toss is heads Use the format HTH to mean that the first toss is heads the second is tails and the third is heads If there is more than one element in the set separate them with commas Sample space Event that the second toss is heads D D X

The number of cell phones in North American homes has grown according to the equations 812 1 21 where n is the number of years since 1992 After 55 years what will be the total number of cell phones

Find all angles 0 0 360 that satisfy the equation below to the nearest 10th of a degree 2 cos 0 3 sin 0 2 1

Determine if the following equation is linear If the equation is linear convert it to standard form ax by c 9x 4 y x 5 Answer Keybo Selecting an option will enable input for any required text boxes If the selected option does not have any associated text boxes then no further input is requir Standard Form I O Linear O Not Linear

n Jane took out a loan for 4800 and was charged simple interest at an annual rate of 11 5 The total interest she paid on the loan was 138 months How long was the loan for in months Do not round any intermediate computations If necessary refer to the list of financial formulas X 6

Brian deposits 6000 into an account that pays simple interest at an annual rate of 5 He does not make any more deposits He makes no withdrawals until the end of 3 years when he withdraws all the money Answer the following questions If necessary refer to the list of financial formulas a How much total interest will Brian earn 0 b What will the total amount in the account be including interest 0 X S E 0 D SICHER 13

2 0 3 4 A bag contains ten tiles labeled B C D E F G H I J and K One tile will be randomly picked What is the probability of picking a letter that is not a vowel Write your answer as a fraction 0 0 5 X 6

Blinky s Beach Toy Emporium is selling novelty beach umbrellas with hilarious memes printed on the canopy The pricing scheme is given by C 0 35d 30 where C represents the cost and d represents the diameter in metres a Calculate the cost of an umbrella with a radius of 1 5 m b Calculate the radius of an umbrella that costs 50

Which of the following queries can be used to change the job title from President to CEO in the JOBS table MODIFY JOBS SET JOB TITLE CEO WHERE JOB TITLE President UPDATE JOBS SET JOB TITLE President INTO JOB TITLE CEO UPDATE JOBS SET JOB TITLE CEO WHERE JOB TITLE President

Use the quotient rule to find the derivative x 5 x 6x g x O A g x x 6x 5x 30x x x 6 6x O B g x O D g x O c g x 10x 30 x x 6 2x 5x 30x 2 x x 6 4x 18x 10x 30 x x 6 2

Find the derivative of the function dy y 2e4x 4

13 1 point following statement Let D 1 0 1 2 3 and consider the 3d D d 4d 4 0 Is this statement true A No only some values of d satisfy the statement B No no values of d satisfy the statement C Yes d 2 satisfies the statement D Yes all values of d satisfy the statement Answer s submitted

Differentiate the function using one or more of the differentiation rules y 5x 7 4 C

Differentiate the function y 5x4 x 1 x5 9 y 0

Identifying independent events given descriptions of experiments For each experiment determine whether events A and B are independent or dependent Experiment A box contains tiles labeled A through Z A tile is randomly chosen from the box and set aside Then another random selection is made from the remaining tiles A paper clip is randomly selected from a container with black clips and white clips and thrown away Then another random selection is made from the remaining clips A spinner with slices numbered 1 through 10 is spun twice Events Event A The first selection is a tile labeled with a D Event B The second selection is a tile labeled with a P Event A The first selection is a black paper clip Event B The second selection is a white paper clip Event A The first spin lands on 2 Event B The second spin lands on 7 Independent Dependent O O

x y y 4x 5 6 5 4 3 2 1 6 5 44 1 2 3 y 3 2 1 4 5 6 1 2 3 4 4x 5y 5 5 6 X

Decide whether the system of equations has one solution no solution or an infinite number of solutions If the system has one solution estimate it If the system is dependent enter DEPENDENT there is no solution enter NO SOLUTION a b 10 y 4x 2 K 10 5 10 x y 4 10 x y x 5 y 25 10 y x 5

Which of the following is 4CBD n4FBA BD B OCBA B G o f12 E

the figure m is parallel to n and 44 120 Find the measures of the other angles