Basic Math Questions and Answers

When baking a cake you can choose between a round pan with a 6 in diameter and a 6 in x8 in rectangular pan Use the x button on a Determine the area of the base of each pan If both pans are 2 in deep determine the volume of each pan Which pan has the larger volume a Area of the base of the round pan Type an integer or a decimal rounded to the nearest hundredth as needed

ow many cubic centimeters of water will a rectangular fish tank hold if the tank is 70 cm long 50 cm wide and 30 cm high When appropriate use the key on your 1 cm holds 1 mL of liquid how many milliliters will the tank hold 1 L 1 000 mL how many liters will the tank hold the tank will hold cm of water GELED

uilding contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls The contractor wishes to put the much in id 25 feet long 19 feet wide and 9 inches deep Determine the volume in cubic feet of mulch the contractor will need When appropriate use the x key on your calculator af mulch costs 10 per cubic foot what will the cost of mulch be The volume is 356 25 n wpe an integer or decimal The cost of mulch is

K 150 ft to cubic yards 150 ft yd Type an integer or decimal rounded to the nearest hundredth as neede

termine a the volume and b the surface area of the three dimensional figure hen appropriate use the x key on your calculator The volume is 385 cm Simplify your answer Type an integer or a decimal The surface area is Simplify your answer Type an integer or a decimal 11 cm

otermine the volume and the surface area of the three dimensional figure se the x key on your calculator The volume is 565 49 cm Simplify your answer Type an integer or a decimal rounded to the nearest hundredth as needed The surface area is Simplify your answer Type an integer or a decimal rounded to the nearest hundredth as needed

Post the following transactions to Mr Okonj s Cash book and balance it at the end of the month Jan 1 started business with N10 000 cash Jan 2 purchased goods N200 with cash Jan 4 cash sales N3 000 Jan 8 paid electricity bill with cash N1 500 Jan 12 sold goods N3 000 cash Jan 18 purchased motor van N500 with cash Jan 24 paid wages N2 500 cash Jan 28 naid rent N350 cash

ne a the volume and b the surface area of the three dimensional figure ppropriate use the x key on your calculator CETEP com 4 yd 4 yd

rmine a the volume and b the surface area of the three dimensional figure an appropriate use the key on your calculator ne volume is plify your answer Type an integer or a decimal COLLE GALLE 5 cm 11 cm

W Use the accompanying radiation levels in kg Click the icon to view the radiation levels for 50 different cell phones Find the percentile corresponding to 0 64 W kg W The percentile corresponding to 0 64 is Round to the nearest whole number as needed kg Radiation Levels 0 24 0 28 0 35 0 48 0 88 0 88 0 90 0 91 0 58 0 59 0 63 0 64 0 73 0 86 0 93 0 96 0 96 0 97 1 07 1 12 1 14 1 14 1 15 1 16 1 16 1 16 1 16 1 19 1 20 1 20 1 26 1 29 1 29 1 30 1 31 1 46 1 47 1 49 1 50 1 54 1 21 1 22 1 24 1 26 1 26 1 32 1 34 1 34 1 38 1 40

Determine a the volume and b the surface area of the three dimensional figure When appropriate use the key on your calculator KTE 4

When appropriate use the x key on your calculator The volume is Simplify your answer Type an integer or a decimal CITES CLUB 6 cm 18 cm 8 cm

area of the triangle The figure is not drawn to scale e length of the unknown side is a whole number ACTOR 7km 25

a The length of the unknown side is Type a whole number CIM 24 y

Try Again Your answer is incorrect Austin s garden is in the shape of a rectangle It measures 12 yd long and 6 yd wide He wants to cover the garden with mulch for the winter The coverage c each bag of mulch is measured in square feet a Find the area of the garden in square feet Use the table of conversion facts as needed b Austin wants to cover his garden with mulch He doesn t have any to begin with and he can t buy partial bags of mulch Each bag of mulch covers 81 5 ft How many whole bags of mulch will he need to buy in order to completely cover his garden Dags c If each bag of mulch costs 14 how much will Austin need to spend on mulch Conversion facts for length I foot ft 12 inches in 1 yard yd 3 feet ft 1 yard yd 36 inches in

The intrinsic value of a company s stock also known as its fundamental value refers to the stock s true value based on accurate risk and return data The value perceived by stock market investors determines the market price of a stock A stock trading at a price below its intrinsic value is considered to be undervalued A stock trading at a price above its intrinsic value is considered to be overvalued Which of the following statements best describes a marginal investor OA marginal investor thinks that the firm s stock at the current price is a good deal and she would buy more stock if she had more money to invest OA marginal investor thinks that the firm s stock is priced too high and she would only buy more stock if the price dropped sharply OA marginal investor would buy more stock if the price fell slightly would sell stock if the price rose slightly and would maintain her current holding unless something were to change An analyst with a leading investment bank tracks the stock of Mandalays Inc According to her estimations the value of Mandalays Inc s stock should be 45 69 per share but Mandalays Inc s stock is trading at 40 12 per share on the New York Stock Exchange NYSE Considering the analyst s expectations the stock is currently In equilibrium Undervalued O Overvalued

A piece of property was purchased for 26 000 in 1962 The value of the land increased by approximately 7 per year What is the approximate value of the land in the year 2012 For the toolbar press ALT F10 PC or ALT FN F10 Mac

The number of graduates from a local college can be represented by the exponential function P 7 21 1 08 where n is the number of years since 1984 Estimate the number of graduates in 2016 QUESTION 7 The number of cell phones in North American homes has grown according to the equation s 812 1 21 where n is the number of years since 1992 After 55 years

tion Expression 3 2 37 1 3 2 m4x m 5 6 6 4 6 tri A

432 QUESTION 2 Simplify the following expression 5 3

At a factory that produces pistons for cars Machine 1 produced 147 satisfactory pistons and 63 unsatisfactory pistons today Machine 2 produced 124 satisfactory pistons and 76 unsatisfactory pistons today Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today s batch What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory Do not round your answer 0 X

A spinner has 20 equally sized sections 14 of which are blue and 6 of which are green The spinner is spun and at the same time a fair coin is tossed What is the probability that the spinner lands on green and the coin toss is tails Do not round your answer 0 D 0 5 5 Ang

Probabilities of draws with replacement An urn contains 5 white and 8 red balls Four balls are randomly drawn from the urn in succession with replacement That is after each draw the sele is returned to the urn What is the probability that all 4 balls drawn from the urn are red Round your answer to three decimal places 0 X 5

Unless otherwise indicated assume monthly payments are made Unless otherwise indicated assume the interest rate remains constant during the amortization period Your answers can be entered directly on this assignment but please hand in all rough work as well Investigation 1 Shortening the Payment Period 23 marks Most lending institutions allow mortgage payments to be made monthly bi monthly twice a month or weekly Most even allow accelerated weekly mortgage payments With this option the weekly payment is calculated as a monthly payment divided by 4 1 a Complete this table for the mortgage defined above The equivalent interest rate of interest for each compounding period has been calculated for you as discussed in section 6 4 in your text The Interest saved is the difference between the Total interest paid for monthly compounding and the Total interest paid for the compounding period being calculated Payment Equivalent Number Total Frequency Interest payments number rate per year payments Monthly 3 957 Bi monthly 3 954 Weekly 3 952 Accelerated 3 952 1 1137 Payment Total ONGOING DEMONSTRATION amount paid Total interest paid Interest saved 0

ties of draws with replacement A fair die is rolled 4 times What is the probability that a 5 is obtained on at least one of the rolls Round your answer to three decimal places 0 X 5

M An urn contains 7 white and 9 black balls Five balls are randomly drawn from the urn in succession with replacement That is after each draw the selected ball is returned to the urn What is the probability that all 5 balls drawn from the urn are white Round your answer to three decimal places X 0 5 5 Angelia Espa 2 D

2 0 3 4 5 Write an equation in slope intercept form for the line with y intercept 3 and slope 6 0 0 3 08

1 Solve for v 2 ym 4 V 12 9 Simplify your answer as much as possible 4 8 08 X S 5 6

1 2 A 3 Round 4 1 to the nearest whole number 4 X 3 5

2 Question 11 Points 0 of 1 households have both a TV and a computer Save A survey of 900 households revealed that 300 had only a TV 300 had only a computer and 100 had neither a TV nor a computer How many households have both a TV and a computer

equired annuity payments Your father is 50 years old and will retire in 10 years He expects to live for 25 years after he retires until he is 85 He wants a fixed retirement income that has the same purchasing power at the time he retires as 45 000 has today The real value of his retirement income will decline annually after he retires His retirement income will begin the day he retires 10 years from today at which time he will receive 24 additional annual payments Annual inflation is expected to be 3 He currently has 250 000 saved and he expects to earn 8 annually on his savings The data has been collected in the Microsoft Excel Online file below Open the spreadsheet and perform the required analysis to answer the question below X Open spreadsheet How much must he save during each of the next 10 years end of year deposits to meet his retirement goal Do not round your intermediate calculations Round your answer to the nearest cent

Write the statement as an inequality The quantity c 4 is approximately equal to I

If DnF DnG is it necessarily true that F G Explain why or provide a counterexample Choose the correct answer below Use the Show Work learning aid to provide related calculations and additional reasoning to support your answer OA It is always true B It is not always true

9 Interest rates and decisions Suppose that a firm is facing an upward sloping yield curve and needs to borrow money to invest in production Does this mean that the firm should consider borrowing only at short term rates No the firm needs to take the volatility of short term rates into account Yes using short term financing will give the firm the lowest possible interest rate over the life of the project No an upward sloping yield curve means that the firm will get a lower interest rate if it uses long term financing Credit ratings affect the yields on bonds Based on the scenario described in the following table determine whether yields will increase or decrease and whether it will be more expensive or less expensive as compared to other players in the market for a company to borrow money from the bond market Scenario XYZ Co s credit rating was downgraded from AA to BBB A company uses debt to buy another company Such an event is called a leveraged buyout A company s financial health improves There is an increase in the perceived marketability of a company s bonds so the liquidity premium decreases Impact on Yield Cost of Borrowing Money from Bond Markets

8 Macroeconomic factors that influence interest rate levels Apart from risk components several macroeconomic factors such as Federal Reserve the Fed policy federal budget deficit or surplus international factors and levels of business activity influence interest rates Based on your understanding of the impact of macroeconomic factors identify which of the following statements are true or false Statements The larger the federal deficit other things held constant the higher are interest rates Actions that lower short term interest rates will always lower long term interest rates Long term interest rates are not as sensitive to booms and recessions as are short term interest rates The Federal Reserve s ability to use monetary policy to control econo interest rates are highly dependent on interest rates in other parts of the world activity in the Unite States is limited because US True False OOO O

the triangle The figure is not drawn to Ba ength of the unknown side is 35 yd whole number erimeter of the triangle is 84 yd whole number ea of the triangle is hole number

the tnangle The figure is not drawn to scale length of the unknown side is 35 yd whole number perimeter of the triangle is a whole number 21 y

Pythagorean theorem to determine the lang triangle The figure is not drawn to scale th of the unknown side is hole number 213

the triangle The figure is not drawn to scale ength of the unknown side is

Pythagorean theorem to determine the length of the unknown side of the triangle b determine the perimet the triangle The figure is not drawn to scale th of the unknown side is a number CIES 10 km

sonal taxes Salary Dividend Income Interest Income LT Stock Sale LT Stock Cost ST Stock Sale ST Stock Cost Personal Exemption Itemized Deductions Apllicable Tax Rate on Dividends LT Capital Gains a Calculation of Federal Tax Liability Calculation of Taxable Income Salary Interest Income ST Capital Gains Income before Exemption and Deductions Personal Exemption Itemized Deductions Taxable Income before Dividends LT Capital Gains Taxes on Taxable Income Before Dividends LT Capital Gains Tax Liability on Base of Bracket Tax Liability on Excess over Base Tax on Taxable Income before Dividends LT Capital Gains Taxes on Dividends LT Capital Gains Dividend Income LT Capital Gains Income Total Dividend LT Capital Gains Income Tax on Dividends LT Capital Gains Income Total Federal Tax Liability Colculation of Marginal Tax Rate B 77 000 00 17 500 00 3 700 00 22 500 00 6 500 00 9 000 00 5 300 00 4 000 00 7 500 00 15 00 77 000 00 3 700 00 19 700 00 100 400 00 4 000 00 7 500 00 88 900 00 0 28 C D Tax Table for Single Individuals Taxable Income Formulas N A N A N A N A N A N A N A N A N A N A N A N A N A N A N A E Percentage on Excess over Base 10 00 0 00 9 225 00 37 450 00 5 156 25 0 00 922 50 15 00 25 00 90 750 00 18 481 25 28 00 189 750 00 46 075 25 33 00 411 500 00 119 401 25 35 00 413 200 00 119 996 25 39 60 Amount Paid on Base ESS G Give Fe

bas park the dista from home plate down the third baseline to the bottom of the left field wall is 309 feet In loft field at the end of the b endicular to the ground and is 25 feet tall Determine the distance from home plate to the top of the left field wall along the third base line ance from home plate to the top of the wall is approximately feet and to the nearest foot as needed GETES

ncy has just purchased a new house that is in need of new flooring Use the measurements en on the floor plans to the right to answer the following question The cost of ceramic tile is 49 per square foot This price includes the cost of installation Determine the cost for Nancy to e ceramic the installed in the kitchen and in both bathrooms GETD cost for installing ceramic tie in the kitchen and in both bathrooms is and to the nearest cent as needed CITO Laundry Bath 7x10 3F 12x14 Baboom 17x29 10 EX15 Bedroom 12x14 Second flood Kichen LEXLE Live

about Greek playwright Aristophanes showing why the playwright still has meaning for contemporary audiences Essay Requirements Clear Thesis statement Organized introduction body paragraphs and conclusion I need all of this done or I will receive a bad grade PLS DO NOT REPORT I really need help

Which revision is needed to correct the following sentence The new student council officers will suggest easy fun activities at the short planning meeting A Add a comma after the word short B Add a comma after the word council C Add a comma after the word easy D Add a comma after the word new 4

Arra of 4 125 in San Amatio 3 in actual distance from San Antonio to Houston is approximately 189 miles use the lengths of the line segments indicated in the figure along with similar triangles to approximate the actual distance from Dallas to Houston the actual distance from Dallas to San Antonio 3 75 im

of the quadrilateral is 80 in eter of the quadrilateral is GEILD to in E

K Find the The complementary angle of 51 2 is Type an integer or a dec

EELD 10 in 14

er reaches feet up the wal the nearest whole number as needed MEITW