Questions

George is 7 and his mother is 37 In how many years will his mother be 3 times as old as he is in 8 years old when George is is is mother wil be 45 Pete is 14 and his grandfather is 54 How many years ago was his grandfather 6 times as old as Pete 7 Years ago pete s grandfather

Suppose your data values are 10 12 15 18 10 and your center is 13 Complete the table Data value 10 12 Absolute deviation 30 1 The sum of the absolute deviations is 11 Par 15 18 10 20 50 3 Par X

1 2 y a Step 1 f x 22x 3 b Step 2 c Step 3 18

Courtesy of National Portrait Gallery Winslow Homer Breezing Up A Fair Wind 1873 1876

Assume a tax rate of 6 2 on 142 800 for Social Security and 1 45 for Medicare No one will reach the maximum for FICA Complete the following payroll register Use the percentage method to calculate FIT for this weekly period Use Table 9 1 Note Do not round intermediate calculations and round your final answers to the nearest cent FICA Employee Marital status Gross pay FIT Social Security Medicare Net pay Pat Brown S 2 800 2 349 15 173 60 40 60 237 65

Suppose the population of a city can be modeled by P t 12300e0 13t where t is the number of years since 2070 persons Meanwhile the number of doctors in the city can be modeled by D t 197 205t where t is the number of years since 2070 When will the ratio of doctors to persons be the greatest Between and the ratio of

162 over the interval 0 x co Find the local Consider the function f x 2x extreme values of the function on this interval This function has a loc Select an answer value equal to at x maximum minimum

Pat Maninen earns a gross salary of 3 000 each week Assume a rate of 6 2 on 142 800 for Social Security and 1 45 for Medicar a What are Pat s first week s deductions for Social Security and Medicare Note Round your answers to the nearest cent Social Security Medicare Deductions b Will any of Pat s wages be exempt from Social Security and Medicare for the calendar year Note Leave no cells blank be certain to enter O wherever required

Find an angle between 0 and 2 that is coterminal to 2 The angle is coterminal to JT 25 2 25

An object moves along a path defined by the curve y 2x Find the point on th path closest to the point 5 0

Suppose we want to minimize the sum of the squared deviations Let our data values be a b and let our point estimate be x The sum of the squared deviations can be expressed as f x a x b x 2 The squared deviations are minimized when the point estimate is a b 2 8 Suppose we have four data values a b c d The sum of the squared deviations can be expressed as g x The squared deviations are minimized when the point estimate is x

Part OT 4 A box with a square base and open top must have a volume of 442368 cm We wish to find the dimensions of the box that minimize the amount of material used First find a formula for the surface area of the box in terms of only x the length of one side of the square base

A coffeeshop in New York City determines that it can sell 4000 cups of coffee at a price of 1 50 but for every 1 increase in the price their sales will decrease by 4400 cups and for every 1 decrease their sales will increase by 4400 cups A function giving the revenue earned when the price of coffee is dollars per cup is R x

You wants to enclose a rectangular field with five internal partitions as shown If the area of the field must be 13400 square feet what dimensions will require the least fencing Note that the internal partitions also require fencing length width a The width should be feet and the length should be

The data represent the time in minutes spent reading a political blog in a day Construct a frequency distribution using 5 classes In the table include the midpoints relative frequencies and cumulative frequencies Which class has the greatest frequency and which has the least frequency 25 5 19 24 29 6 7 19 20 26 9 19 19 3 1 4 10 10 0 23 Complete the table starting with the lowest class limit Simplify your answers Class 0 5 Frequency Midpoint Relative Frequency Cumulative Frequency 4 2 5 0 2 4

4 Consider the following sequence of numbers tn 0 1 2 3 4 5 6 7 23 37 60 14 5 9 14 Find a recursion equation of the type tn formula for t in terms of n btn 1 ctn 2 for this sequence and fin

Use integration by parts to evaluate the integral

Use integration by parts to evaluate the integral arctan

Use integration by parts to evaluate the integral In In

3 84771 At least one of the answers above is NOT correct Evaluate the following indefinite integrals A 2e 5 1 20 ex dx 2x 5e x C ex B 2 5 da 2e dx 17

Use integration by parts to evaluate the integral 6x sin

Evaluate the indefinite integral e3x si

Use integration by parts to evaluate the integral In In 8x 8

Use integration by parts to evaluate the integral 22 co 2x cos 5

Entered 1 7 t 8 2 9 Answer Preview 1 7t 8 2 9 The answer above is NOT correct Evaluate the indefinite integral 1 dt 7t 8 2 9

Evaluate the indefinite integral

Use integration by parts to evaluate the integral

Find the average value of the function f t 2te for the interval 0 7 Answer

If f is continuous and f x dx 8 evaluate f 2x dx

If 4000 is invested at an interest rate of 5 25 per year compounded continuously find the value of the investment after the given number of years Round you answers to the nearest cent a 4 years b 8 years c 12 years

Graph by hand y 5 x 7 14 x 2 x 3 1 x 1 3

Sarah Jones earns 560 per week selling life insurance for Farmer s Insurance plus 4 of sales over 5 750 Sarah s sales this month four weeks are 24 500 How much does Sarah earn this month Note Round your answer to the nearest cent Amount earned

Pat Maninen earns a gross salary of 3 000 each week Assume a rate of 6 2 on 142 800 for Social Security and 1 45 for Medicare a What are Pat s first week s deductions for Social Security and Medicare Note Round your answers to the nearest cent Deductions Social Security Medicare b Will any of Pat s wages be exempt from Social Security and Medicare for the calendar year Note Leave no cells blank be certain to enter O wherever required

Calculate the gross earning Note Round your answer to the nearest cent Number of units Rate per Gross Worker produced unit earning Cruz 975 0 48

Complete the following table Commission Employee McCarthy Total sales rate Draw 288 000 8 8 200 End of month commission received

Robin Hartman earns 565 per week plus 2 of sales over 6 500 Robin s week sales are 10 700 How much does Robin earn Amount named

6 We can describe the sequence of the formation of a sedimentary rock as being weathering erosion transportation deposition lithification Where along this sequence would you place the pro glacial clays and the outwash deposits Why

7 7 g n 2n 4n f n n 4 Find go 1 9 g n 3n 3 hn 4n 3 Find goh 6 8 8 g t 3t 1 h t 1 5 Find goh 1 10 10 g x 3x 1 Find gog 3

5 g t 1 3 h t 21 1 Find goh t A 21 1 3 B 23 182 55t 57 C 121 4 D 2t3 18t 551 57 6 6 g t 1 1 f 5 1 Find go f 5

What is the name of the organ or nerve diaphragm

Create a rational function in factored form with Vertical asymptotes at x 2 and x 1 x intercepts at x 2 and x 6 y intercept at 9 V

Consider the curve given by the 2 2 2 2 equation x y 2x 2y x 2 22 Find the equation of the tangent lin at 0 1

Mt Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town Both companies use the same monthly profit model given by P x 9x2 1368x 18000 where x represents the number of apartments rented in a month and P x is in dollars a Assuming Mt Nittany Property Management Company manages 100 apartments find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits Number of apartments 76 Maximum monthly profit 33985 x dollars b Assuming Happy Valley Rentals manages 50 apartments find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits Number of apartments Maximum monthly profits dollars

2 3 Let A and B 3 5 given that AX X B 3 Find the 1 2 entry of matrix 0 1 3 9 9 1

What is the name of the nerve

Figure 22 26 Human digestive system accessory organs model 1 2 3 Duodenum 8 9 10

profit The HiWay Robery Financial Group has determined to advise x clients at their upcoming series of get rich quick seminars the price per client p x in dollars that must be charged is p x 1200 8x The financial group also determines that the total cost of advising x clients is given by C x 576x 800 How many clients does the financial group need to have in order to maximize their profit Number of clients 39 What price p should they charge each client in order to maximize their profit Price per client p 888 Compute their maximum profit dollars Maximum profit 6 857 824 X Your answer must be a fraction integer or exact decimal dollars

2 2 2 t ny t ty y dt 11 x 1 x 1

1 Points DETAILS The demand equation for video games is given by x 480 15p where x is the number of video games and p is in dollars Determine the value of p that maximizes total revenue P dollars Use this value of p to compute the maximum total revenue Maximum total revenue dollars

A billboard designer has decided that a sign should have 5 ft margins at the top and bottom and 1 ft margins on the left and right sides Furthermore the billboard should have a total area of 4500 ft including the margins Printed Region If x denotes the left right width in feet of the billboard determine the value of x that maximizes the area of the printed region of the billboard X feet