Functions Questions and Answers

4 Between the stress of finding a full time job and the stress of beginning to pay off student loans many recent college graduates don t think at all about saving for retirement That s something they will begin to do some day after they ve paid off their student loans or established their career or saved up enough to buy their first home or saved up enough for the baby or saved up enough for that vacation the list can sometimes go on and on until retirement is near and we realize we are ill prepared This is an unfortunate reality that many people close to retirement in the US are currently facing People assume that they can make up for all the years of not saving simply by saving more money at a later time For example why save only 3 000 toward retirement when you are 22 when you can instead use that money for something else and save 12 000 toward retirement when you are 42 and more established in your life and your career But is that really true Let s find out You cannot save enough for retirement by using a savings account in a bank The average interest rate for a savings account is currently less than 1 Compare that to the inflation we calculated last week and you will quickly see how much value you lose every year Instead retirement funds are often invested in common stocks and bonds When investing your retirement funds in stocks the money will increase during certain years and will decrease during other years depending on the stock market performance In the long run however you will see an increase in your money This is exponential growth Analysts can create models that predict what the overall growth of your funds will be on average year to year We are going to use a model where the average interest earned would be 10 7 per year To calculate this exponential growth we return to the exponential formula we used in Week 4 y P 1 r x where r is the interest rate a Say you decide to start saving for retirement when you are 22 You can only put aside 2 000 that year For right now let s also assume that you never add any other money into the retirement account you just let that 2 000 grow This assumption will allow us to compare answers for parts a b and c Using either a table in Excel or an equation coloul

10 What is the smallest value that n can have for n 2C6 Explain your reasoning

K The graph to the right shows a region of feasible maximum and minimum values of the given objec values on the graph a z 4x 3y b z 2 25x 0 25y D a What is the maximum of z 4x 3y Select the necessary fill in the answer boxes to complete yo OA The maximum value of the objective functi at the point s Typo

sunlight An astronomical measure of phase is given by the fraction the angle between the sun earth and moon is 0 0 0 360 t F g First or last quarter F 0 5 1 1 cos 0 etermine the angles that correspond to the following phases e New moon F 0 f Cresc h Full

Evaluate P3 and Co P 93 6 0 60

Find sin 2x cos 2x and tan 2x from the given information cot x x in Quadrant I sin 2x cos 2x tan 2x

O COUNTING AND PRO Counting principle Lewis Middle School is goi Here are the positions and Position Faculty member Dr Male student Er Female student Ar Ms Parent

a 2 points Is the feasible region bounded or unbounded Briefly answer b 4 points What are the corner points c 6 points What is the solution to the linear programming problem Maximize C 3x 2y Subject to 3x y 5 x y 6 x 0 y 0

Record 3 5 Scor David Perez Find Complet Mar 03 9 37

Suppose that the local sales tax rate is 6 and you purchase a car for 29 600 a How much tax is paid b What is the car s total cost a The amount of tax paid is

Express the given fraction as a percent 7 40 1 Round to the nearest hundredth as needed

Determine whether the graph represents a function If it doe range Yes No

V Determine whether the graph represents a functio

Cross sectional area of the pipe A m Water temperature 20 C Density of water p kg m Kinematics viscosity of water v m s Volume Time Flow rate Q m s Run V ml 1 107 2 132 3 43 4 610 5 685 t s 9 470 30 35 10 30 35 6 255 7 950 8 680 15 10 10 Velocity V m s 0454 0480 0547 2588 2492 3247 5772 5984 Reynolds Number Type of Flow 1 Re Laminar Laminar Laminar Turbulent Turbulent Turbulent Note

Test 2 Question 20 of 22 1 point Question Attempt 1 of 1 10 11 Use transformations to graph the function m x x 6 5 9 8 7 6543 8 7 12 44 13 14

Use the slope intercept form to graph th

4 56 WP Steam enters a counterflow heat exchanger operating at steady state at 0 07 MPa with a specific enthalpy of 2431 6 kJ kg and exits at the same pressure as saturated liquid The steam mass flow rate is 1 5 kg min A separate stream of air with a mass flow rate of 100 kg min enters at 30 C and exits at 60 C The ideal gas model with cp 1 005 kJ kg K can be assumed for air Kinetic and potential energy effects are negligi ble Determine a the quality of the entering steam and b the rate of heat transfer between the heat exchanger and its surroundings in kW

4 41 WP Refrigerant 134a enters an insulated compressor operating at steady state as saturated vapor at 20 C with a mass flow rate of 0 1 2 kg s Refrigerant exits at 7 bar 70 C Changes in kinetic and po tential energy from inlet to exit can be ignored Determine a the vol umetric flow rates at the inlet and exit each in m s and b the power Las s input to the compressor in kW

The negation of the statement Some fast swimmers attend this school is O A Some fast swimmers attend this school O B Some slow swimmers do not attend this school O C All slow swimmers attend this school O D No fast swimmers do not attend this school O E No fast swimmers attend this school

Refer to the following sales function Gallons O 12 09 04 920 900 880 860 840 820 800 780 760 0 1 2 3 Sales Function 4 What is the slope of the sales function D a bP 5 Price 6 7 8 9 10

DETAILS Find the quadrant in which lies fro csc 0 0 and cos 0 0 quadrant I quadrant II

10 Claim 1 Example Consider this right triangle A 3 5 4 C B Determine whether each equation is No Yes

Given that the projection of x 1 2 onto a vector component of x that is orthogonal to a 2 is find the

Does the economy of the United States affect world markets Yes The United States is a major economic player in the world markets O Yes The United States controls most foreign world trade No Since the terrorist attacks of 9 11 2001 the United States no longer influences world markets No The United States no longer dominates the world market The European Union is now the major economic player

Given the parent graph of f x a student was asked horizontally by a factor of 3 reflecting over the x axis and translating it up 4 units to create a function g x Determine their error y f 3x 4 f x Student s Graph O The student should have subtracted four from the x value inside the parentheses to translate the graph up 4

itions Que Packpacks can sell backpacks for 40 per back

Watch help video What are the roots of the equation 1 2i 6 4 2 32 24 12x 4x 1 4 i 32 24 1 2i 6 Submit Answer

considering interest at 6 compounded quarterly 2 what is the accumulated amount in after 3 years of 6 500 php invested at the rate of 12 per year compounded semi annually 2 worth now hot

3 what is the rate of interest compounded annually is the same as the rate of interest of 8 compounded quarterly 4 How long will it take the money to triple itself if invested at 10 compounded semi annually

Watch help video What is the intermediate step in the form x a as a result of completing the square for the following equation 2 1 5x 10x 315

Draw the graph of the function and state the domain and rang f x 4x 1 4638 What is the domain Select the correct choice below and if A The domain of this function is B The domain is all real numbers Type an inequali

Is the political structure stable Does the country have strict pollution regulations Does the country have raw materials The questions above should all be answered before which of the following occurs Economic infrastructure is built There is foreign investment There are corporate takeovers The government supports nationalization

Read the following passage answer the question which follows Francois Duvalier Francois Poppa Doc Duvalier the President of Haiti from 1957 to 1971 misappropriated millions of USD of international aid including 15 millions USD annually from the United States He transferred this money to personal accounts in other countries Another of Duvalier s methods to obtain foreign money was to gain foreign loans including 4 million USD Which of the following is this an example of O Capital flight Asset reorganization Fringe benefits Investment drain

your work 1 Use the method of Lagrange Multiplier to find the point in the plane 2r 2y z 3 that is closest to the point 2 0 1

For sheep kept at elevated temperatures the respiration rate per minute increases as the length of the wool in centimeters cm decreases Suppose that cattle with wool 3 cm long have a mean rate of 160 and those with wool 4 cm have a respiration rate of 121 Find the respiration rate of sheep whose wool is 4 cm long Round your answer to one decimal place

m Points 15 Submitting an external tool of 2 pts See Details for more Get a similar question You can retry this question belo 17 1 07 5 sin t represents the value of a person s investm n year t where t 0 corresponds to January 1 2020 elow to two places after the decimal s rate is the portfolio s value changing on January 1 2022 er year of V 2

Study the diagram below Exploitation of workers Increased pollution Which of the following BEST completes the diagram O Common problems in undeveloped nations O Common problems in developing nations Common problems in developed nations Political criticism from citizens

Real income per person Access to and quality of health care Access to and quality of education The list shows things which are taken into consideration when calculating which of the following The Gross National Product of a country O The Consumer Price Index of a country O The standard of living in a country O The development level of a country

U S Agency for International Aid United Nations World Bank International Monetary Fund What do all the organizations in the list have in common Choose the BEST answer O The United States is involved with each organization on the list in contributing aid to undeveloped and developing countries Each of the organizations on the list is governed by the United States Each of the organizations on the list assists undeveloped and developing countries with loans and financial assistance Each of the organizations on the list assists undeveloped developing and developed countries with loans and financial assistance

1 2 a Determine if each relation is a function b FIZI 2 0 c Domain Range d Range 62 2 Domain Range State the domain and range of each function in question 1 a Domain b Domain Range 31 420 14 31 2 2 JY 16 21 11 4 4 to 2

Study the following diagram Food Economic growth Medical Services Education Which of the following best completes the diagram according to the lessor O Foreign investment and access to sea ports O Foreign investment and public land ownership Developed property rights and civil legal systems

Determine the accumulated value after 7 years of deposits of 254 made at the beginning of every year and earning interest at 4 with the payment and compounding intervals the same

estion 2 2 points ow long will it take your mone

Debra is competing in a long bike race The table below shows her distance left to the finish line at different times Time Distance After 1 hour 45 miles After 2 hours 34 miles After 3 hours 23 miles After 4 hours 12 miles After 5 hours 1 miles Fill in the blanks below With each additional hour the distance left Choose one by miles Choose one increased decreased

O Points 0 of 1 2016 there were approximately 77 million virtual reality devices in use in a region This is expected to grow to 341 million in 2020 What is the projected percent of increase he projected percent of increase is Type an integer or decimal rounded to the nearest tenth as needed GECOD

O Points 0 of 1 In March 2007 21 million people were using food stamps in a particular country By March 2010 this number had gone up to 31 9 million people What was the percent of increase in the number o people using food stamps The percent of increase is Type a whole number or decimal rounded to the nearest hundredth as needed points Save

Deb is searching online for airline tickets Two weeks ago the cost to fly from Denver to Boston was 300 The price now is 375 What is the percent increase

A community college has 1200 parking spots on campus When it builds its new library the college will lose 90 of its parking spots What will be the percent decrease in the number of available parking spots The number of available parking spots would decreased by Type a whole number or a decimal

Express as a trinomial 3x 7 x 8

A system that limits imports to a certain number of units is known as an import quota O import embargo O import tariff O import duty