Basic Math Questions and Answers

Prestige Corporation holds cash of 6 000 and owes 31 000 on accounts payable Prestige has accounts receivable of 48 000 inventory of 18 000 and land that cost 65 000 How much are Prestige s total assets and liabilities OA OB OC OD Total Assets 72 000 Total Assets 137 000 Total Assets 119 000 Total Assets 137 000 Total Liabilities 96 000 Total Liabilities 49 000 Total Liabilities 49 000 Total Liabilities 31 000

The city wishes to connect two houses to an existing water supply line using a single pump at the supply line and a minimal amount of pipe extended to each house The houses are located at different distances from the street as pictured In the interval from C to D where should the pump connection be located on the supply line Of course you must justify your answer Assume and D are located directly beneath the connection point on houses A and B respectively House A C Connection Point Connection Point D House B Locate the PUMP somewhere along the supply line Water Supply Line As mentioned previously it is important that you also make connections between mathemat ics concepts you are asked to remember and that you newly learn in this course The next Exploration is a good example of making connections between topics and concepts in math ematics

Problem 2 Write a script that generates a plot of the first 20 squares vs i Use your function from problem 1 to generate data to plot

Suppose that the nation of Copperton produces nutmeg and cinnamon Below are the possible combinations of nutmeg and cinnamon that Copperton can produce Combination A B C Cinnamon metric tons X axis 7 000 6 000 4 500 2 500 10 Nutmeg metric tons Y axis 10 7 000 11 000 D 14 000 E 16 000 What is the opportunity cost amount item of the first 2 500 tons of cinnamon produced What is the opportunity cost amount item of increasing production from 2 500 tons of cinnamon to 4 500 tons of cinnamon What is the opportunity cost amount item of increasing production from 4 500 tons of cinnamon to 6 00b tons of cinnamon What is the opportunity cost amount item of increasing production from 6 000 tons of cinnamon to 7 000

you may use a non programmable calculator to help in determining the numerical results of individual steps submit to Gradescope your complete solution to this homework including a printout of any graphs Include printouts of source code if requested in the Required Submission list of the individual problem on Gradescope associate select your answer pages with the corresponding problem numbers Failure to do so may result in no points given initially and will require a re grade request to fix If the problem header contains MatlabGrader you must submit your solution to Matlab Grader using the Course Navigation Bar Link Matlab Grader Homework S23 Problem 1 MatlabGrader Develop a Matlab function mySquares that calculates the first N squares As input the function shall take the positive integer number N and as output the function shall give a column vector of length N containing i for i 1 N Problem I required submission

A skier is trying to decide whether or not to buy a season ski pass A daily pass costs 63 A season ski pass costs 450 The skier would have to rent skis with either pass for 30 per day How days would the skier have to go skiing in order to make the season pass less expensive than the daily passes The skier would have to go skiing Type a whole number days

truck can be rented from Company A for 130 a day plus 0 70 per mile Company B charges 60 a day plus 0 90 per mile to rent the same truck Find the number of miles in a day at which the renta osts for Company A and Company B are the same Atmiles the rental costs are the same from either company

Vertical translation up 2 units AND vertically stretched or shrunk by the product of 2 and the existing function coefficient y sin 2x pi 2

A closed system consisting of 10 kg of a gas undergoes a process during which the relationship between pressure and specific volume is Pv constant The process begins with P 1 bar v 0 5 m kg and ends with P2 0 25 bar Determine the final volume in m and plot the process on a graph of pressure versus specific volume

The situation presented below refers to a particular day at an altitude above standard sea level A piston cylinder device with a cross sectional area of 0 01 m is exposed to a local ambien pressure Patm 96 kPa Inside the cylinder there is water vapor and the piston of mass equal 15C kg rests on a base ring support You are asked to draw a free body diagram for the piston anc determine the water vapor pressure in bar required to lift the piston Consider that the acceleration of gravity is 9 81 m s and neglect the friction between the piston and the cylinder wall Hint focus on the reaction of the base ring support on the piston before and after the instant when the piston is lifted by the water pressure Base ring support for piston Patm 96 kPa Water 1

After opening the tire s valve and allowing the internal pressure to decrease to 0 psig you find that the temperature on the inside of the tire remained nearly constant throughout the process You can conclude that the air is most nearly analyzed as what kind of process A Isobaric process B Isothermal process C Isochoric process D A cycle

Use the information in the following table to determine the percentage changes in the U S and French real minimum wages between 1957 and 2020 Year 1957 2020 United States Minimum wage dollars per hour 1 00 7 25 CPI 27 259 France Minimum wage euros per hour 0 19 euros 10 15 euros CPI 8 105 Sources For 1957 John M Abowd Francis Kramarz Thomas Lemieux and David N Margolis Minimum Wages and Youth Employment in France and the United States D Blanchflower and R Freeman eds Youth Employment and Joblessness in Advanced Countries Chicago University of Chicago Press 1999 pp 427 472 the value for the minimum wage is given in francs it was converted to euros at a conversion rate of 1 euro 6 55957 francs For 2020 INSEE online data bank www insee fr U S Departm of Labor and U S Bureau of Labor Statistics Calculate the percentage change in U S real minimum wages between 1957 and 2020 96 Enter your response as a percentage rounded to two decimal places

What index is used to measure the average prices paid by a typical family An average of the prices of the goods and services purchased by a typical family is the OA inflation rate index OB producer price index PPI c consumer price index CPI OD aggregate price level index Suppose the economy s consumer price index CPI in 2008 was 187 and the CPI in 2009 was 195 The inflation rate over the period from 2008 2009 was equal to Enter your response rounded to one decimal plac

D A used car originally was listed at 12 000 It is now being sold for 85 of its original price How much does the car cost now

42 After a taste test 60 of the 30 people interviewed preferred a new energy bar over the previous top seller The rest preferred the top seller a How many people preferred the new energy bar b How many people preferred the previous top seller

29 It is 181 miles from Austin Texas to Dallas Texas and 206 miles from Dallas to Oklahoma City Oklahoma How many miles is it total from Austin to Dallas and then on to Oklahoma City

32 You need to buy some school supplies The total cost of the supplies is 99 06 You have 77 98 How much more money do you need 5 5080 31 Lola

5 A 16 oz bag of lentils costs 3 84 How much is the cost per ounce

It is about 2 178 miles from Spicewood Texas to Rockland Maine You made the trip in 6 days traveling the same distance each day How many miles did you travel each day POR IS

2 A wall holds back water in a reservoir as shown in the figure Some of the water is below ground level to a depth h but the above ground wall increases the amount of water that can be stored For all parts of this problem the height of the wall h 2 5 m and the depth of the water below ground h 2 m hw wall ha V hg ground level Figure for problem 2 a a Typically the water level in this particular reservoir is at height he shown in the figure If ha 2 m find the total force of the water on the wall if its length perpendicular to this cross section is 30 m Find the center of pressure of this force

Required Information The piston of a vertical piston cylinder device containing a gas has a mass of 90 0 kg and a cross sectional area of 0 04 m as shown in the figure The local atmospheric pressure is 0 97 bar and the gravitational acceleration is 9 81 m s Pam 0 97 bar m A 0 04 m

Directions Find each function value 1 f x x 1 if x 2 3x 5 if x2 2 a f 4 3 f x a f 1 2 3x 5 f x 3 Domain Range 2 10 x if x 3 Discontinuities This is a 2 page document if 7 x 2 x 4 5 if x 2 b f 2 if x 3 b f 2 x 7 2 g x 3x 15 a g 7 6 x a h 5 if x 7 if 7 x 5 if x 5 3x 2 if x 5 4 h x x 5x if 5 x 0 3 2 Directions Graph each function then give the domain range and identify the location and type of any discountinuities b g 4 x 7 if x 0 b h 8 15

Find the area of the given geometric figure If the figure is a circle give an exact area and then use 3 14 as an approximation for to approximate the area The exact area of the circle is 625x 4 sq in Simplify your answer Type an exact answer in terms of t Points 0 of 1 The approximate area of the circle is Simplify your answer Type a whole number or decimal rounded to the nearest thousandth as needed d 25 in

7 You can purchase Lindt truffles online and create your own custom mix by choosing a container and selecting flavors According to the purchasing options shown below which of the following represents a linear relationship O Crest Your Own ADGA Teddy A Volume of the container and number of truffles B Number of truffes and price C Weight of truffles in oz and price D Number of truffles and weight of truffles in oz

Decide whether perimeter or area would be used to solve a problem concerning the measure of the quantity a Sod for a lawn b Carpeting for a bedroom c Baseboards for a living room d Fencing for a yard e Fertilizer for a garden f Tile for a bathroom g Determining the cost of planting rye grass in a lawn for the winter h Determining the cost of replacing a linoleum floor with a wood floor a The would be used to solve a problem concerning the measure of the sod for a lawn

Angie and Kenny play online video games Angie buys 1 software package and 4 months of game play Kenny buys 1 software package and 5 months of game play Each software package costs 20 If their total cost is 148 what is the cost of one month of game play The cost of one month of game play is Type an integer or a decimal

Find the area of the geometric figure CELEB NI B

4 Karah is making baskets out of her supply of popsicle sticks She uses the same number of popsicle sticks for every basket The table below gives the number of popsicle sticks remaining after she makes certain numbers of baskets Baskets made Popsicle sticks remaining 481 364 247 4 7 10 a How many popsicle sticks does Karah need for each basket h What is the maximum number of baskets Karah can make with her supply of popsicle sticks

A radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range If the circle has a diameter of 70 mi how large an area is reached Use 3 14 The area is approximately mi2 Round to two decimal places

A pizzeria will bake and deliver a round pizza with a 4 inch diameter Find the exact area of the top of the pizza and an approximation Use 3 14 as an approximation for T The exact area is Simplify your answer Type an exact answer in terms of t

A flag measures 490 feet by 215 feet Find its area 490 feet 215 feet

A drapery panel measures 6 ft by 7 ft Find how many square feet of material are needed for eight panels The material needed for eight panels is sq ft

Find the area of the given geometric figure The area of the triangle is Simplify your answer 10 yd 18 yd

Use the space below to describe a time when you confronted or experienced either a respectful or disrespectful exchange at work school or in your community Please try to draft complete sentences as you work through the following questions

2 How many different countries help build a Boeing airplane

5 Brock and his friends want to go ice skating at the local ice rink The rink charges by the hour Brock also has to ren ice skates Brock s total cost C of skating for h hours is given by the equation C 10 5 2 5 h 3 a How much does it cost Brock to skate for 3 hours b How much does the ice rink charge per hour of skating c How much does the ice rink charge for renting skates

a How much fencing is needed to enclose a rectangular garden that measures 63 feet by 15 feet b If fencing costs 5 per foot find the cost to enclose the garden with fencing a To enclose the rectangular garden Simplify your answer feet of fencing is needed

A man bought a trampoline for his children to use The trampoline has a diameter of 13 feet If the man wishes to put up netting to go around the outside of the trampoline how many feet of netting does he need Give the exact circumference of the trampoline and then an approximation Use 3 14 The exact circumference of the trampoline is Type an exact answer using as needed

Find the perimeter of the following figure Parallelogram 28 cm Perimeter sq cm 18 cm

A line marking machine lays down lime powder to mark two equal foul lines on a playing field If each line for this field measures 322 feet how many feet of lime powder will be deposited The line marking machine deposits feet of lime square feet

A metal strip is being installed around a workbench that is 12 feet long and 2 feet wide If the stripping costs 7 per foot find the total cost of the stripping THE Total cost

foot A rectangular room measures 12 feet by 11 feet Find the cost of installing a strip of wallpaper around the room if the wallpaper costs 0 81 per The cost of installing a strip of wallpaper around the room is

A metal strip is being installed around a rectangular workbench that is 12 feet long and 4 feet wide Find the cost to install the stripping First you must determine how much stripping you need The amount of metal stripping needed to be installed around the workbench is Then calculate the cost If the stripping costs 0 98 per foot the cost to install the stripping is

If a playing field is 50 yards wide and 115 yards long what is the perimeter Perimeter yd sa vd 115 yd 50 yo

P D B O N Co a Are points A B and D coplanar b Name all of the planes in the diagram c What is at the intersection of the three planes d Name the intersection of the three planes e Name four non coplanar points

A college student borrows 1 000 for 9 months to pay for a semester of school If the interest is 61 88 find the monthly payment

One state leads the country in tart cherry production producing 89 out of every 100 tart cherries each year a What percent of tart cherries are produced in this state b What percent of tart cherries are not produced in this state a What percent of tart cherries are produced in this state b What percent of tart cherries are not produced in this state

Complete the chart Tons Tons Pounds 1 166 Pounds Ounces Ounces

In 1999 total revenue of a company from music sales and licensing was 14 9 billion It was forecasted that this number would continue to drop until it reached 5 3 billion in 201 Find this percent decrease in music revenue The percent decrease in music revenue is Type a whole number or a decimal rounded to the nearest tenth as needed

Find the total amount in the compound interest account 9000 is compounded semiannually at a rate of 7 for 18 years Round to the nearest cent