Math - Others Questions

You want to be able to withdraw 50 000 from your account each year for 30 years after you retire You expect to retire in 25 years If your account earns 10 interest how much will you need to deposit each year until retirement to achieve your retirement goals

Classify the statement as true or false If it is false give a reason why it is false The smallest whole number is 1 True False O is the smallest whole number False There is no smallest whole number False The smallest whole number is 1 False 1 is not a whole number

Solve the inequality Write the solution set in interval notation Simplify your answer completely 12 3x 11 13 3 Graph the inequality Use the tools to enter your answer 4 10 on Co 10

Solve the equation Enter your answers as a comma separated list Simplify your answers comple 19x 81 28 X Suggested tutorial Learn It Sol

Write the slope intercept equation of the line that passes through the given points 1 9 2 13

Graph the equation using any method y 2x 1 O No Solution 5

Write the point slope equation of the line with the given slope that passes through the given point Solve the equation for y m 9 1 7

7 O No Solution y 8 10 9 8 7 6 5 4 3 2 1 10 6 8 7 6 5 3 2 t 7 2 34 4479 6 N 02 4 5 6 7 8 9 10 Fill Gi A ca pre

Suppose you invest 150 a month for 8 years into an account earning 96 compounded monthly After 8 years you leave the money without making additional deposits in the account for another 23 years How much will you have in the end Suppose instead you didn t invest anything for the first 8 years then deposited 150 a month for 23 years into an account earning 996 compounded monthly How much will you have in the end Question Help Video Video 2

You are considering taking out a loan of 5 000 00 that will be paid back over 12 years with every 2 months payments of 101 43 If the interest rate is 6 7 compounded every 2 months what would the unpaid balance be immediately after the twelfth payment The unpaid Sunt imal places

A young executive is going to purchase a vacation property for investment purposes She needs to borrow 108 000 00 for 26 years at 6 4 compounded monthly and will make monthly payments 711 30 Round all answers to 2 decimal places What is the unpaid balance after 10 months s Durin hnu

Solve the inequality State the result in interval notation Simplify your answer completely If there is no solution enter NO SOLUTION 3 b 2 5 3 5 Graph the solution set Use the tools to enter your answer

Perform the operation 4 610 718 X

Perform the operation Enter your answer as a simplified proper fraction simplified improper fraction or integer 39 65 3 26

Perform the operation 99 33

Simplify the complex fraction 6 7

Perform the operation Enter your answer as a simplified proper fraction simplified improper fraction or intege 7 10 1 18

You have 3 500 on a credit card that charges a 21 interest rate If you want to pay off the credit card in 4 years how much will you need to pay each month assuming you don t charge anything new to the card

You want to buy a 29 000 car The company is offering a 5 interest rate for 60 months 5 years What will your monthly payments be

You deposit 1000 each year into an account earning 6 interest compounded annually How muc will you have in the account in 30 years

A business sets up a sinking fund so they will have a 46 000 00 to pay for a replacement piece of equipment in 12 years when the current equipment will be sold for scrap If they make deposits at the end of every 2 months for 12 years in the investment that pays 7 7 compounded every 2 months what size should each payment be The every 2 months payments are Round to 2 decimal places

On October 3 2023 issues 20 000 shares of common stock for cash 2 On October 5 2023 purchases equipment on account for 3 500 payment due within the month On October 9 2023 receives 4 000 cash in advance from a customer for services not yet rendered On October 10 2023 provides 5 500 in services to a customer who asks to be billed for the services On October 12 2023 pays a 300 utility bill with cash On October 14 2023 distributed 100 cash in dividends to stockholders On October 17 2023 receives 2 800 cash from a customer for services rendered On October 18 2023 paid in full with cash for the equipment purchase on October 5 On October 20 2023 paid 3 600 cash in salaries expense to employees S 5 5 7 8 10 On October 23 2023 received cash payment in full from the customer on the October 10 transaction 1 On October 27 2023 provides 1 200 in services to a customer who asks to be billed for the services 2 On October 30 2023 purchases supplies on account for 500 payment due within three months

A man wants to set up a 529 college savings account for his granddaughter How much would he need to deposit each year into the account in order to have 60 000 saved up for when she goes to college in 18 years assuming the account earns a 7 return

The postmaster of a small western town receives a certain number of complaints each day about mail delivery Number of complaints UCL LCL b Is the process in control 1 4 Yes 2 11 3 15 48 59 69 75 DAY 8 14 9 13 10 17 11 56 Click here for the Excel Data File a Determine three sigma control limits using the above data Round your intermediate calculations to 4 decimal places and final answers to 3 decimal places Leave no cells blank be certain to enter 0 wherever required Round up any negative control limit value to zero 12 13 14 2 10 4

A toy manufacturer uses 47 600 rubber wheels per year for its popular dump truck series The firm makes its own wheels which it can produce at a rate of 700 per day The toy trucks are assembled uniformly over the entire year Carrying cost is 1 40 per wheel per year Setup cost for a production run is 38 The firm operates 238 days per year Determine the following a Optimal run size Round your answer to a whole number following normal rules of rounding EPO b Use your final answer from part a to determine minimum total annual cost for carrying and setup Round your answer to a whole number Total Annual Inventory Cost c Cycle time for the optimal run size Round your answer to two decimal points Cycle Time power to buio decimal points

Question 2 Suppose that in a two commodity world the consumer s utility function takes the form 1 p u x x a a x This utility function is known as the constant elasticity of substitution CES utility function 1 Show that the CES utility function is homothetic 2 Show that as p 0 for every pair 2 22 the marginal rate of substitution between goods 1 and 2 converges to the MRS of the generalized Cobb Douglas utility function 3 Show that as p for every pair the marginal rate of substitution be tween goods 1 and 2 converges to the MRS of the Leontief utility function

A company has 12 510 available per month for advertising Newspaper ads cost 180 each and carit rin more than 23 times per month Radio ads cost 560 each and can t run more than 34 times per month at this price Cach newspaper ad reaches 7350 potential customers and each radio ad reaches 8850 potential customers The company wants to maximize the number of ad exposures to potential customers Jsen for number of Newspaper advertisements and for number of Radio advertisements Maximice P subject to 121 fi x 23 x 34 1800 500 12 510 Enter the solution below If needed round ads to 1 decimal palace and group exposure to the nearest whole persons Number of Newspaper ads to runs 10 Number of Radio ads to run is 34 Maximum targes group exposure is 12510 x people

There were 104 females and 78 males present at the high school pep rally Find the ratio of males to the total number of people present Express as a simplified ratio 7 3 3 4 3 7 4 3

A company has 12 510 available per month for advertising Newspaper ads cost 180 each and can t run more than 23 times per month Radio ads cost 560 each and can t run more than 34 times per month at this price Each newspaper ad reaches 7350 potential customers and each radio ad reaches 8850 potential customers The company wants to maximize the number of ad exposures to potential customers Use n for number of Newspaper advertisements and r for number of Radio advertisements Maximize P subject to 23 34 12 510 Enter the solution below If needed round ads to 1 decimal palace and group exposure to the nearest whole person Number of Newspaper ads to run is Number of Radio ads to run is

A manufacturer of portable tools has three sets Basic Homeowner and Pro which must be painted assembled and packaged for shipping The following table gives the number of hours required for each operation for each set Basic Painting 1 1 Assembly 0 7 Packaging 0 8 Homeowner 1 9 din 00 15 0 8 Pro 2 8 2 21 1 If the manufacturer has 126 6 hours for painting per day 92 2 hours for assembly per day and 54 4 hours for packaging per day How many sets of each type can be produced each day The manufacturer can produce Basic sets Homeowner sets and

Find the inverse of A 11 3 24

Use inverse matrices to find the solution of the system of equat fa I 2y 15 27 5y 33 What is the coefficient matrix for this system 36 What is the constant matrix for this system What is the solution to the system as an ordered pair

Compute 5 5 213

Find the size of the matrix 2 2 14 51 5 45 1 2 43

Compute 53 15 3

Consider the following system of equations and its graph 2x y 4 16 4r 2y 6 Y 201 8 Go 6 4 2 20 L 8 10 LEY St 2z y 4 so A What is the solution of the system Answer z y 8 in the boxes below enter either the letter A or B to match the equation to the graph sho a Graph A

Write the system of equations as an augmented matrix 2 3y 3 42 6y 3 5 3z 2y 32 1 6 00 00

Suppose the quantity demanded g of a product when the price is p dollars is given by the equation p 553 5g and the quantity supplied is given by the equation p2g Find the equilibrium price and quantity Equilibrium quantity Equilibrium price items

Match each linear equation with its graph G K Equation y 3x 1 2 y y B 1 y x 1 y 5x 1 R Graph Color a green G b black K c purple P d blue B e red R

Find the domain and range of the function graphed below 5 4 3 2 Domain 2 1

What is the domain of the function in the graph 20 n 18 16 14 12 10 8 649 2 00 n 8 08 p 16 08 n 16 8 Es

Use technology to maximize the following You may round answers to 2 decimal places if desired Maximize f 4x 5y 92 subject to 5x 4y 22 12 5x 3y 226 5x 4y 32 18 z 0 y 20 220 If no solutions existenter DNC in all answerboxes Z 11 2 11 2 0 0 P 8

A factory manufactures three products A B and C Each product requires the use of two machines Machine I and Machine IL The total hours available respectively on Machine I and Machine per month are 6 240 and 8 080 The time requirements and profit per unit for each product are listed below ABC Machine 4 10 9 Machine 1714 Profi B 11 17 How many units of each product should be manufactured to maximize profe and what is the maximum profic Start by setting up the near programming problem with A B and C representing the number of units of each product that are produced Maximize P subject to Enter the solution below If needed round numbers of items to 1 decimal place and profit to 2 decimal places The maximum profit is 6 240 8 080 units aff product A units of product units of product C when the company produces

Alarmer is going to divide her 40 acre farm between two crops Seed for crop A costs 5 per acre Seed for crop B costs 10 per acre The farmer can spend at most 300 on seed If crop B brings in a profit of 240 per acre and crop A brings in a profit of 160 per acre how many acres of each crop should the farmer plant to maximize her profit acres of crop A cres of con

Graph the solution set to the follow system of inequalities by drawing a polygon around the solution region Click to set the corner points 1 4y 24 5x 3y 35 10 9 DE 8 6 10 A 544 N M

Find the maximum of the objective function C 2z 7ysubject to the feasibility region below 20 D D b 40 t N 4 to th M 5 9 10 11 4 4

Minimize z z 2y 4y 6x2 36 3y z 9 14 20 0 Subject to 2y 2x Minimumis I 9

A company produces two types of drills a corded and cordless The card type drill requires 2 hours to make and the cordless model requires 3 hours The company has 360 work hours per day for manufacturing and daily storage of 165 drills per day Letz the number of cordless drills produced per day and y the number of corded drills produced per day Write the system of inequalities Graph the system of inequalities Hint There are 4 inequalities 230 240 228 20 20 190 180 170 160 150 140 120 120 110 100 90 70 00 20 40 30 360 20 sot 165

etz the number of cordless drills produced per day and y the number of corded drills roduced per day Write the system of inequalities 3 23 X 3 raph the system of inequalities 240 230 220 210 200 190 2828829222222222222 370 50 140 130 20 110 100 20 00 70 40 30 40 20 360 2

Maximize y 3x 7y 56 Subject to Maximum is 5x 2y 45 Z 89 y 20 0 2