Basic Math Questions and Answers

7 ts Book Print ferences Prepare a statement of retained earnings for Tidal Company for the current year ended December 31 using the following data Note Amounts to be deducted should be indicated by a minus sign Cash dividends declared and paid in current year Retained earnings at December 31 prior year Net income in current year Tidal Company Statement of Retained Earnings For Current Year Ended December 31 9 600 63 200 36 200 Check my wor

Select 4 numbers that are equal to 10 0 06 0 60 6 60 6 60 100 355

3 Select all the numbers that equal 0 04 0 040 40 4 10 4 4 100 0 4

4 Drag 4 of the numbers below to fill in the blanks on the right 4 4 100 2 0 4 2 10 2 4 5 2 5 0 2 4 1000 40 0 2 2 100 T C 2011

You would like to have 70 000 available in 15 years There are two options Account A has a rate of 3 5 compounded once a year Account B has a rate of 3 compounded daily How much would you have to deposit in each account to reach your goal Assume 365 days in a year Click the icon to view some finance formulas You must invest 41782 in Account A Round up to the nearest dollar

doctors to introduce a new line of antibiotics Use a tree diagram to determine all possible schedules that would allow the Select all possible schedules that would allow the salesperson to meet with each doctor A Dr Brown Tue at 11 00 Dr Clark Tue at 10 00 Dr Hall Fri at 10 00 B Dr Brown Tue at 11 00 Dr Clark Tue at 10 00 Dr Hall Thu at 10 00 C Dr Brown Tue at 11 00 Dr Clark Tue at 11 00 Dr Hall Thu at 10 00 D Dr Brown Fri at 10 00 Dr Clark Tue at 10 00 Dr Hall Thu at 10 00 E Dr Brown Fri at 10 00 Dr Clark Tue at 11 00 Dr Hall Thu at 10 00 F Dr Brown Tue at 11 00 Dr Clark Tue at 11 00 Dr Hall Fri at 10 00 G Dr Brown Thu at 10 00 Dr Clark Tue at 10 00 Dr Hall Thu at 10 00 H Dr Brown Thu at 10 00 Dr Clark Tue at 11 00 Dr Hall Tue at 11 00 L Dr Brown Thu at 10 00 Dr Clark Tue at 10 00 Dr Hall Fri at 10 00 J Dr Brown Fri at 10 00 Dr Clark Tue at 10 00 Dr Hall Tue at 11 00 K Dr Brown Fri at 10 00 Dr Clark Tue at 10 00 Dr Hall Fri at 10 00 L Dr Brown Fri at 10 00 Dr Clark Tue at 11 00 Dr Hall Fri at 10 00 M Dr Brown Tue at 11 00 Dr Clark Tue at 10 00 Dr Hall Tue at 11 00 N Dr Brown Fri at 10 00 Dr Clark Tue at 11 00 Dr Hall Tue at 11 00 o Dr Brown Thu at 10 00 Dr Clark Tue at 11 00 Dr Hall Fri at 10 00 Dr Brown Thu at 10 00 Dr Clark Tue at 11 00 Dr Hall Thu at 10 00 P Q Dr Brown Thu at 10 00 Dr Clark Tue at 10 00 Dr Hall Tue at 11 00

Rent controls on apartments are an example of price controls on a commodity They keep the price artificially low below the equilibrium price Sketch a graph of supply and demand curves and label on it a price p below the equilibrium price What effect doe forcing the price down to p have on a The producer surplus b The consumer surplus c The total gains from trade Consumer surplus Producer surplus

Which of the following is the source of 20 consumer surplus O a A consumer goes to the store to purchase a 20 item but discovers that the item has sold out O b A consumer is willing to pay 100 for an item but manages to buy it for only 80 O c A store acquires 300 of stock but is only able to sell 280 of it O d A store has 300 of stock but could have sold 320 worth if it had been available

Q4 Compute the 4 quarter roots 1 3 4 Then sketch the roots on the complex plane and 15pts clearly mark the magnitude and angle for each of the four roots 60 3

Which of the following is the source of 20 producer surplus O a A producer plans to sell a 20 item but the customer changes his mind and does not buy O b A store has 300 of stock but could have sold 320 worth if it had been available O c A store acquires 300 of stock but is only able to sell 280 of it O d A producer is willing to sell an item for 100 but manages to sell it for 120

The demand curve of a product is in Figure 6 11 Approximate the equilibrium price p if q 80 and the consumer surplus is 10 000 p price 45 000 O a 125 O b 250 O c 45 250 O d 44 750 Figure 6 11 80 q quantity

6 A particular car has a fuel efficiency of 8 liters L of gasoline per 100 kilometers km What is the fuel efficiency in miles per gallon mi gal Round to the nearest integer Note there are approximately 1 6 km in 1 Cheese consumption in 2009 lbs 152 000 000 6 610 000 mi and approximately 3 8 L in 1 Country Romania Malta Population 20 400 000 412 000 gal

1330 3 in physical education class Lizzie ran the 50 yard dash in t seconds Derive an expression for her average speed r in miles per hour during the 50 yard dash in terms of t Use the formula r where d represents the distance in miles that Lizzie ran Write the expression in simplified exact form Show your work 50

Irving lives in Appletown and plans to drive along Highway 42 a straight highway that leads to Bananatown located 131 miles east and 39 miles north Carol lives in Coconutville located 100 miles east and 30 miles south of Appletown Highway 86 runs directly north from Coconutville and junctions with Highway 42 before heading further north to Durianville Carol and Irving are planning to meet up at park and ride at the junction of the highways and carpool to Bananatown Irving leaves Appletown at 8am driving his usual 45 miles per hour If Carol leaves leaves Coconutville at 9am how fast will she need to drive to arrive at the park and ride the same time as Irving 26 32 x miles per hour Include a sketch with the work you turn in

4 The graph shows how the amount Amanda earns each day depends on the number of hours she works Which unit would be appropriate for the rate of change in the graph Amanda s Earnings Amount Earned dollars 2007 180 160 140 120 100 80 60 40 20 culty on 0 1 2 3 4 5 6 7 8 9 10 Time Worked hours

4 What is the mode most frequently appearing item of this data 25 27 29 30 30 31 34 35 37 39 30 Andrea owns a video game system She owns 27 games and she has played them all many times There is a store in town that will trade three used games for one new one If Andrea trades in all of her current games how many new games will she receive

Find the measure of angle c in degrees Round to two decimal places as necessary Show your work here 23 C 13

and the measure of angle c in degrees Round to two decimal places as cessary 26 25 Step 1 Identify the type of triangle or angle relationship presented in the graph Step 2 Use the corresponding triangle properties or angle properties to set up an equation Remember the sum of the internal angles of a triangle is 180 degrees and the sum of the angles around a point is 360 degrees Step 3 Simplify the equation by combining similar terms

If you are asked to estimate 52 of 107 which of the following is the best estimate of this value O 5 500 31 55 080 220 x

A portion of the figure below is shaded yellow a What fraction of the figure is shaded yellow b Give a decimal that indicates the portion of the figure that is shaded yellow c What percent of the figure is shaded yellow

20 4 13 15 1 3 41 Tutorial The order of operations is used to simplify algebraic expressions Operations within grouping symbols such as parentheses brackets absolute value symbols and the fraction bar are perform Be sure to simplify expressions within the innermost grouping symbols first Next evaluate exponents Multiply or divide from left to right and then add or subtract from left to right

The total number of a particular chain store in the world can be modeled by the cubic function y 10 3x 396x 5592x 8691 where x is the number of years after 2000 and y is the tota number of stores Complete parts a through c below a Graph the function on the window 2 20 2 by 8000 23000 1000 O B b What does the model predict the number of stores will be in 2020 The model predicts that there will be stores in 2020 Round to the nearest whole number as needed GILS OC Q Q C OD C Q Q G

Round the number to the given place value 45 4276 Whole number STEP 1 If the digit to the right of the given place value is less than 5 that digit and all digits to the right are dropped If the digit to the right of the given place value is greater or equal to 5 increa the digit in the given place value by one and drop all digits to its right The digit to the right of the given place value is STEP 2 What is the rounded answer

Round the number to the given place value 78 4976 Hundredths Step 1 To round the number to the hundredths place use the following rule If the digit to the immediate right of the hundredths place is less than increase the digit in the hundredths place by Submit Skip you cannot come back X drop it and also drop all digits to its right If this digit is greater than or equal to 100 000 X and drop all digits to its right Suggested tutorial qid DevMath1 3 2 LI 002 link Learn It Bound decimals to a specified place value titlo Wobord

Round the number to the given place value 74 90635 Hundredths Enter B number

Round the number to the given place value 8 549 Tenths

Q5 Solve the given pair of simultaneous equations by making a sketch and marking the sets of points satisfying both equations inequalities 15ts 2 3 and 2 323 A Im 5 M 13 3 3 5

O 0 024 O 0 035 9 0 011 0 020 10 points The same Total Station has specified errors of 3mm 2 ppm The instrument was centered over the survey point with an error of 4 mm The error of mis centering the target was 2 mm Compute the estimated error of the mean distance from Point A to Point C from question 8 4 79 mm 3 20 mm 6 18 mm 5 39 mm DO

8 9 10 points A surveyor took 5 total measurements between points A and C The measured horizontal distances were 179 20 179 18 179 23 179 21 179 17 Calculate the mean of the horizontal distance measurements 179 20 197 20 179 22 179 18 10 points Calculate the standard deviation for question 7 0 024 0 035 0 011 0 020 D 10 points DES The same Total Station has specified errors of 3mm 2 ppm The instrument was centered over the survey point with an error of 4 mm The error of mis centering the target was 2 mm Compute the estimated error of the mean distance from Point A to Point C from question 8 4 79 mm 3 20 mm 6 18 mm 5 39 mm

begar elevatio closed on BM1231 elevation 418 60 The Plus and minus sights were kept approximately equal Readings in feet listed in the order they were taken are BM 1022 2 12 BS TP 1 12 87 FS 5 69 BS TP 2 4 22 FS 2 36 BS TP 3 8 54 FS 6 25 BS TP 4 7 54 FS 5 91 BS and BM 1231 6 06 FS What is the misclosure of the level run 11 0 03 1 05 0 07 0 05 10 points Compute the adjusted elevation of TP 4 in question 10 118 70 118 74 119 05 D

A Total Station Instrument is set up on Point A and sights a prism rod at point B Given an instrument height at point A of 4 95 and an elevation of point A of 592 25 the vertical angle is measured at 87 15 15 and the horizontal distance is measured as 231 76 The prism rod height at point B was set at 5 00 Calculate the elevation of point B Hint Draw a sketch and label the parameters 600 03 678 45 603 30 325 14

1 Write an equation that represents this comparison sentence 24 is 4 times as many as 6 Spiral Review 3 Which symbol makes the following statement true 547 098 574 908 5 Sean and Leah are playing a computer game Sean scored 72 491 points Leah scored 19 326 points more than Sean How many points did Leah score represents this equation 5x9 45 4 What is the standard form for 200 000 80 000 700 6 6 A baseball stadium has 38 496 seats Rounded to the nearest thousand how many seats is this

10 There are 27 campers This is nine times as many as the number of counselors How many counselors are there

2 Calculate the length of an arc between two points on the Earth s surface given the radius of the Earth is 6 378 371 m and the angle subtended by the two points is 5 degrees 105 993 65 m 658 781 49 m 405 712 89 m 556 617 87 m 5 points Calculate the length of an arc between two points on a circle given the radius is 200 ft and the angle subtended by the two points is 15 degrees 52 36 ft 61 78 m 61 78 ft 52 36 m 5 points Which of the following is most likely NOT a type of land survey Hydrographic Survey Interview Survey

Calculate the weighted mean for a distance which was observed 5 times as 256 82 256 79 256 94 256 81 256 78 ft The observations were given a weight of 3 1 1 3 and 2 respectively 256 82 ft 156 82 ft 256 78 ft

Convert 75 91 feet to meters O24 784 m 15 971 m 22 954 m O O 23 137 m

Which of the following is most likely NOT a type of land survey Hydrographic Survey Interview Survey Topographic Survey

Let s eat A fast food restaurant chain has 586 outlets in the United States The following table categorizes them by city population size and location and presents the number of restaurants in each category A restaurant is to be chosen at random from the 586 to test market a new menu Round your answers to four decimal places Population of City Under 50 000 50 000 500 000 Over 500 000 NE 30 57 149 Send data to Excel Region SE SW NW 35 14 9 92 71 28 23 27 51 a Given that the restaurant is located in a city with a population over 500 000 what is the probability that it is in the Northeast b Given that the restaurant is located in the Southeast what is the probability that it is in a city with a population under 50 000 c Given that the restaurant is located in the Southwest what is the probability that it is in a city with a population of 500 000 or less d Given that the restaurant is located in a city with a population of 500 000 or less what is the probability that it is in the Southwest e Given that the restaurant is located in the South either SE or SW what is the probability that it is in a city with a population of 50 000 or more

3 A portfolio is composed of two stocks A and B Stock A has a standard deviation of return of 35 while stock B has a standard deviation of return of 15 The correlation coefficient between the returns on A and B is 45 Stock A comprises 40 of the portfolio while stock B comprises 60 of the portfolio The standard deviation of the return on this portfolio is

15 Convert x t 5 cos 10t 30 2 sin 10t 20 6 cos 10t 80 into a single sinusoid as in Problem 13 16 Find the delay between x t cos 10t 20 and x2 t sin 10t 10 17 Equations 2 23 and 2 24 were developed to convert a sinusoid such as cos wt 0 into a sine and cosine wave Derive the equations to convert a sinusoid based on the sine function sin wt 0 into a sine and cosine wave Hint Use the appropriate identity

1 A portfolio is composed of two stocks A and B Stock A has a standard deviation of return of 24 while stock B has a standard deviation of return of 18 Stock A comprises 60 of the portfolio while stock B comprises 40 of the portfolio If the variance of return on the portfolio is 0380 the correlation coefficient between the returns on A and B is

Activity 4 Please match the following sentence to the three steps of CEO agenda 1 Redefine the wealth management strategy 2 activate the client book and 3 industrialize the production model A strong focus on target markets is required due to regulatory requirements and limitations on cross border business Prioritizing markets can be based on criteria such as the value proposition cultural fit leverage of the business model regulatory requirements Banks can build up front office momentum by concentrating on specific markets and client segments using a task force approach Banks can develop the organization by improving the quality of their advice and implementing best practice approaches Key levers for realizing top line improvements are introducing strategic pricing with target revenues for different client groups Players should consider developing their own effective approach to sustainable efficiency improvement and stringent cost management through both strategic and operational levers Wealth managers can reduce complexity by systematically streamlining processes in a front to back office approach

4 Find the Nyquist rate for the following signals 15 points a X t 3cos 50nt 10sin 300nt cos 100nt b Sinc 200t

5 15x 8x 1 0

the following quadratic functions use the discriminant to determine the nature of the root b f x 6 7x x f x 3x 4x 2 c f x 9x 24x 16

b 4x 36 0

each quadratic equation by factoring a x 3x 10 0

Write the equation of each line Be sure to use the correct variable in each equation 6 Equation 5 3 2 N 7 6 5 4 3 2 1 1 2 3 4 45 6 7 12 4 5 6 7

Write an equation for the graph below in terms of I 3 y 2 33 2 7 1 3 4 5 2 q

Given the points 2 0 and 0 0 on a line find the equation of the line