Basic Math Questions and Answers

Acme Industries had sales last year of 12 000 000 They had expenses of 9 755 000 They purchase several pieces of new equipment during the year that Cost 3 000 000 to purchase Had 1 100 000 related costs to set up install etc Has a salvage value of 750 000 in 5 years Using MACRS calculate the amount of tax owed 375 500 400 780 425 000 484 500

possible scenarios XYZ Low Low 200 500 0 1 500 High 600 600 400 1000 BC High Is there a dominant strategy for ABC If there is what is it and why If none why 3 pts Is there a dominant strategy for XYZ If there is what is it and why If none why 3 pts What is the likely pair of decisions What payoff will each receive 4 pts

Consider an employee s whose earnings in dollars are according to the continuous strea f t 5 000e0 1 for t 0 where t is measured in years How many years will it take them to earn a combined total e 100 000 Give your answer in years to the nearest year Sorry that s incorrect Try again

A coal mining company models the income derived from the continuous production of coal as a continuous income stream using a function f t where f t 250e 0 15t where t 0 The function f t is measured in thousands of dollars per year and I is measured in years Calculate the total income derived from mining coal in the first three years Give your answer in thousands of dollars to the nearest thousand dollars Do not include commas or the dollar symbol in your answer Provide your

For the change equation dy dx find the regions where y is an increasing function of x and where y is a decreasing function of x Give your answers as intervals in the form Use the symbol oo for infinity U for combining intervals and an appropriate type of parentheses depending on whether the interval is open or closed Enter if the interval is empty Express numbers in exact form Use symbolic notation and fractions where needed y is increasing when y E y is decreasing when y E

Using the on line psychrometric chart calculate the absolute humidity in kilograms of a room containing 47kg dry air with a relative humidity of 52 and a dry bulb temperature of 21 C Round your answer to three decimal places at the answer only Answer in numbers only No units Your Answer

From the data given in the Table below compute the Z for the geodetic coordinates X Y Z for GPS receivers located at stations P on the WGS84 coordinate system Station P 40 44 29 N 7845962 32 m 4142317 304 m 1263457 78 m 074 10 40 W Geodetic Height h 17 929 m

Acme Industries had sales last year of 12 000 000 They had expenses of 9 755 000 They purchase several pieces of new equipment during the year that Cost 3 000 000 to purchase Had 1 100 000 related costs to set up install etc Has a salvage value of 750 000 in 5 years Using straight line depreciation what are the taxable earnings 1 789 000 1 850 000 1 910 000 1 987 655

The data from a simple random sample with 25 observations was used to construct the plots given probability plot that was constructed has a correlation coefficient of 0 975 Judge whether a t interval could be constructed using the data in the sample Click here to view the normal probability plot and the boxplot Click here to view the table of critical values of the correlation coefficient The normal probability plot 0 975 and the boxplot Round to three decimal places as needed the data could come from a normal population because outliers so a t interval be constructed

This is a new version of the question Make sure you start new workings Calculator not allowed Bookwork code 58 Fill in the gaps to factorise this expression 16m 8 8

The horizontal bar graph shows the population of the world s largest cities including their suburbs How much larger to the nearest million is City J than City H City A City B City C City D City E City F City G City H City I City J 0 5 World s Largest Cities 10 15 20 25 Population in millions City J is larger than City H by million people 30 35

The following circle graph shows the percent of the types of books available at Midway Memorial Library What percent of books are classified as some type of fiction he percent of books that are classified as some type of fiction is Submit test Nonfiction 21 Adult s fiction 33 Reference 18 Children s fiction 24 Other 4

40 A mobile home loses 20 of its value every 3 years a A certain mobile home costs 20 000 Write a function for its value after t years

Travis has a savings account with 1 575 He opened it with 1 400 with a rate of 6 25 If he had no other transactions how long has he had the savings account for

Find the coordinates following the path x t 0 t 3 at times t 0 3 8 of a particle 5t 3 y 8 4t t 8

10 MP Find the Error The ratio of quarts of white paint to red paint is 3 4 A student says that to maintain the same ratio he will need 7 quarts of white paint if he has 8 quarts of red paint because originally there was one more quart of red paint than white paint Find the student s mistake and correct it 11 MP 4 OL sch bike that arg

3 Gutters on the eaves of a home transfer water runoff from the roof to the downspouts Properly sloped gutters drop 1 16 inch for every 1 food in length a Determine the vertical drop in inches for a gutter length of 25feet Round to the nearest hundredth b If a certain length of gutter drops 5 8 inch find the length of the gutter in feet

b Evaluate 3x 4x 6y when x 2 y 5

Observers in two towns A and B on either side of an h 11 000 ft mountain measure the angles of elevation between the ground and the top of the mountain See the figure below Assumin that the towns and the mountain tople in the same vertical plane find the horizontal distance between them where a 23 and 47 Round your answer to two decimal places

sif 1 000008

The marginal cost in dollars per square foot of installing x square feet of kitchen countertop is given by C x x a Find the cost of installing 45 ft2 of countertop b Find the cost of installing an extra 13 ft2 of countertop after 45 ft2 have already been installed

In a large business hotel 40 of the guests read the Los Angeles Times Only 25 read the Wall Street Journal Five percent of guests read both papers Suppose we select a hotel guest at random and record which of the two papers the person reads if either Which Venn diagram correctly displays the outcomes of this chance process Use events L reads the Los Angeles Times and W reads the Wall Street Journal

A At a zoo an Asian elephant weighs about 3 Tons and eats about 300 pounds of food a day What percentage of its body weight does the elephant eat each day Part Whole Percent B

7e x x 6x 7

Select the correct answer A ferry takes several trips between points A and B It moves at a constant speed of 0 35 miles minute and takes the same route on each trip The total duration of a round trip from point A to point B and back is 80 minutes ignoring the time spent stopped at point B If d is the ferry s distance from point A in miles and t is the time in minutes which equation models the ferry s distance from point A for the duration of the trip OA d 10 35t 401 40 d 10 35t 801 80 B O c O D d 10 35t 281 28 d 10 35t 141 14

Solve for all values of x 8 x x 1 1 x 1

Effect of stock split Willey s Grill Restaurant Corporation wholesales ovens and ranges to restaurants throughout the Southwest Willey s Grill Restaurant which had 345 000 shares of common stock outstanding declared a 3 for 1 stock split a What will be the number of shares outstanding after the split shares b If the common stock had a market price of 360 per share before the stock split what would be an approximate market price per share after the split per share

Individual Work Graph the developmental rates of both the fetal pig and the human embryo fetus on the graph provided Average Development Rate of the Fetal Pig Time from Conception 21 days 35 days 49 days 56 days 100 days 114 days birth The data below provides a comparison of the average development rate of a human fetus Average Development Rate of a Human Embryo Fetus Fetal Length in mm avg length 61 mm 120 mm 160 mm 230 mm 280 mm 340 mm Time from Conception 70 days 98 days 124 days 68 days 10 days 2 days Pig Length in mm 11 mm 17 mm 28 mm 30 40 mm 220 mm 300 mm

5 You have design that originally calls for a rectangular duct that has a 8 x 16 end and is 144 inches long You need to replace this duct with a circular duct that has the same cross sectional area SHOW YOUR WORK FOR THE FOLLOWING QUESTIONS 8 marks a What diameter circular duct should selected

4 Perform the following indicated operations SHOW YOUR WORK 8 mar a Evaluate 19 16

d Solve 3t 3 2t 6 2t 7 17310

A contractor builds two models of homes model A and model B Model A requires 200 worker days of labor and 240 000 in capital and model B requires 500 worker days of labor and 300 000 in capital The contractor has a total of 5000 worker days and 3 600 000 in capital available per month The profit is 60 000 on model A and 75 000 on model B Building how many of each model will maximize the monthly profit What is the maximum possible profit Building how many of each model will maximize the monthly profit Profit is maximized with 15 models A homes and or with 10 model A homes and model B homes model B homes with model A homes and 8 model B homes

a Convert log 15 from base 11 to base 10 log 15 Put work reasoning here which is approximately equal to b Convert log 6 from base 9 to base e log im Put work reasoning here which is approximately equal to Convert log 10 from base 4 to base 7 log 10 Put work reasoning here which is approximately equal to

Monthly sales of a particular personal computer are expected to decline at the following rate of S t computers per month where t is time in months and S t is the number of computers sold each month 2 3 S t 35t The company plans to stop manufacturing this computer when monthly sales reach 500 computers If monthly sales now t 0 are 1 760 computers find S t How long will the company continue to manufacture this computer 5 S t 21t 1760 How long will the company continue to manufacture this computer Approximately months Dound to the poproct whole number

140 J R 17 Find mZFAB B 3x 2 3x 4 8x 4 55 13x 3 F A T E mZH D G 14x 1 89 5x 7 F 18 Find m2YDC 15x 5 D 80 6x 6 B H C

What are some good math questions to ask

Prove the given identity tan x sec x csc x cot x Choose the correct proof below OA tan x sec xcsc x sin x 1 1 sin x OC COS X COS X sin x cos X 1 sin x sin x cos X 2 COS X cot x C tan x sec xcsc x sin x COS X sin x cos X 1 sin 2 X sin x cos x cos x 2x cot x OB O D tan x sec sin x COS X 2 1 sin X x csc x 1 COS X sin x cos X cos X sin x cos x cot x tan x sec xcsc X sin x COS X 1 sin x sin x cos x cos 2 X sin x cos x cot x

nd the 8 a 72 degrees b 132 degrees 5 Solve for x 9x 8 x 2 5 6 10 12 78 a b Complement Complement 4 3 7 Solve for the labeled angles 50 Supplement Supplement 1 42 3 25 mZ1 m2 m23 Using the diagram name the pair of angles and if they are congruent or supplementary 21 and 28 22 and 23 23 and 26 25 and 24 25 and 27

6 i Write two consecutive odd numbers multiply them together then add 1 Repeat the process several times What do you notice about your final answers ii What happens if you use consecutive even numbers instead

Assignment 2 4 points Given is the weight matrix A of a directed graph D V E 0 1 2 X 2 0 5 0 3 0 a Sketch the digraph b Use the Floyd Warshall algorithm to determine the matrix of shortest distances between all pairs of vertices A and the corresponding matrix P to determine the paths Write down the intermediate steps as well

The line graph shows the goals per game average for a sporting series during the years shown During what year shown was the average number of goals per game the lowest The average number of goals per game was the lowest during the year Ave of Goals per Game Goals per Game Average 3 8 3 2 2 6 2 1977 1985 1993 2001 Year Q Su

The table shows the worldwide box office in billions of dollars for the movie industry during the years shown Year 1997 1999 2001 2003 2005 Box office in billions of dollars 22 9 24 3 26 3 27 9 30 8 c Create a scatter diagram of the paired data Choose the correct scatter diagram below O A OB Box Office 32 Box Office 0 1996 O C 32 07 1996 Year 2006 2006 Box Office 32 Box Office 0 1996 O D 32 0 1996 Year Year 2006 2006

The histogram shows the number of miles that each adult from a survey of 97 adults drives per week How many adults drive 0 49 miles per week adulto who driven 19 miles per week Number of Adults A 30 25 20 15 10 5 0 0 49 50 99 100 149 150 199 200 249 250 299 Number of Miles

K The line graph shows the goals per game average for a sporting series during the years shown Find the average number of goals per game in 1983 The average number of goals per game in 1983 was Round to the nearest tenth as needed CELO Ave of Goab per Game Goals per Game Average 3 8 3 4 3 2 6 2 2 1 8 1979 1987 SOU 1995 2003 Year

People drive on average 14 058 miles per year About how many miles each week is that Note There are 52 weeks in a year People drive about miles each week Type a whole number or decimal rounded to the nearest tenth as needed

The histogram shows the projected ages of householders in the near future How many householders will be under 25 years old Approximately million householders will be under 25 years old Round to the nearest million as needed Millions of Households 222 27 24 21 18 15 12 9 woo Under 25 34 35 44 45 54 55 64 65 74 Age in Years 25 75 and O

Identical twins come from a single egg that split into two embryos and fraternal twins are from separate fertilized eggs Also identical twins must be of the same sex and the sexes are equally likely and sexes of fraternal twins are equally likely If a pregnant woman is told that she will give birth to fraternal twins what is the probability that she will have one chile of each sex Use the data table below to find the probability Identical Twins Fraternal Twins boy boy 4 8 boy girl 0 9 The probability is Type an integer or a simplified fraction girl boy 0 9 girl girl 4 8 Sexes of Twins

The report Digital Democracy Survey t describes a large national survey In a representative sample of Americans of age 14 to 18 years 45 Indicated that they usually use social media while watching TV Suppose that the sample size was 600 Let p be the population proportion of Americans of age 14 to 18 years who usually use social media while watching TV LAUSE SALT a Is there convincing evidence that less than half of Americans of age 14 to 18 years usually use social media while watching TV Use a significance level of 0 05 State the appropriate null and alternative hypotheses Enter for as needed Ho H Find the test statistic Round your answer to two decimal places Use technology to find the P value Round your answer to four decimal places P value State the conclusion in the problem context Fail to reject Ho We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV Reject Ho We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV Reject Ho We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV Fail to reject Ho We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV TICE ANOTHER b Suppose that the sample size had been 100 rather than 600 and that 45 of those in the sample indicated that they usually use social media while watching TV Based on this sample of 100 is there convincing evidence that less than half of Americans of age 14 to 18 years usually use social media while watching TV Use a significance level of 0 05 State the appropriate null and alternative hypotheses Enter for as needed Hi

1 0 2 Points DETAILS PREVIOUS ANSWERS PECKSTAT3 10 1 002 MY NOTES PRACTICE ANOTH CareerBuilder com conducted a survey to learn about the proportion of employers who perform background checks when evaluating a candidate for employment Suppose you are interested in determining if the resulting data provide strong evidence in support of the claim that more than six sevenths of employers perform background checks To answer this question what null and alternative hypotheses should you test Let p be the population proportion of all employers who perform background checks Hint See Example 10 2 Enter for as needed Ho

a Convert 5385 mm to ft