Math - Others Questions

The following errors took place in journalizing and posting transactions Journalize the entries to correct the errors a The receipt of 3 440 for services rendered was recorded as a debit to Accounts Receivable and a credit to Fees Earned If an amount box does not require an entry leave it blank 8 b The purchase of supplies of 1 030 on account was recorded as a debit to Office Equipment and a credit to Supplies Note Prepare the entry to reverse the original entry first If an amount box does not require an entry leave it blank

In 2019 Chen Corporation purchased treasury stock with a cost of 49 000 During the year the company declared and paid dividends of 8000 and issued bonds payable for 1 100 000 Net cash provided by financing activities for 2019 is A 1 051 000 B 1 100 000 C 1 043 000 D 1 092 000

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

Imagine that you are designing a taggant a microscopic particle or molecular solution that can be inserted into a product to identify it as authentic that will be in the form of a cube with 12 layered colors The bottom 3 layers will be selected without repetition from the primary colors blue yellow red and the top 3 layers will be selected without repetition from the secondary colors green purple orange The 6 middle layers will be selected without repetition from the six tertiary colors How many different taggant designs are possible There are possible taggant designs Type a whole number

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

12 Can a police officer search a motor vehicle for a radar warning device 1 marks Ref 13 Can a police officer search the driver of a motor vehicle for a radar warning device 1 marks Ref 14 Can a driver possess more than one driver s licence 1 marks Ref 15 Can a police officer seize a second licence found a driver 1 marks Ref 16 Can a police officer order the removal of vehicle blocking a live lane of traffic 1 marks Ref

Given the demand curve p 38 q2 and the supply curve p 6 q2 find the producer surplus when the market is in equilibrium Round your answer to 3 decimal places Part 1 The producer surplus is the total amount gained by producers by selling at the current price rather than the price they would have been willing to accept It is the area between the supply curve and the horizontal line p To begin our problem we need to find the equilibrium price p and quantity q In equilibrium supply demand So we have to solve the equation for q This will give us the value for q Og 4 22 38 q 6 q

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

Current Attempt in Progress In May 1991 Car and Driver described a Jaguar that sold for 980 000 At that price only 50 have been sold It is estimated that 350 could have been sold if the price had been 560 000 Assuming that the demand curve is a straight line and that 560 000 and 350 are the equilibrium price and quantity find the consumer surplus at the equilibrium price dollars Consumer surplus i

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

For a product the supply curve is given by q p 10p60 and the demand curve by q p 2p 60 where p is in dollars and q is in millions a What is the equilibrium price and quantity p 10 40 Consumer surplus dollars b Find the consumer and producer surplus using the Fundamental Theorem of Calculus Producer surplus million million dollars million dollars

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

Q2 Solve for z in 8z 2i 3iz 1 3i 2 5 45 and write the final answer in polar form You may use the calculator 8z zi 3iz 3 15pts 15 135 22 1 3 8 3 5 45 3 3 15 135 5 45Z I 15 135 22 1 8 31 5 45 0 29 1 262 1029 103 09 3 15 135 10 61 10 612 l 3 544 3 541 3 11 61 12 611 11 54 6 541

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

Prof Ciancia Andrew Homework 9 Distribution Date 10 05 2023 Due Date 10 09 2023 1 The following are the results of a compaction test Mass of mold 2850 wet soil g Water content 10 1 2990 12 1 Volume of mold 1000 ml mass of mold 1000g Specific gravity Of solids 2 69 3090 15 2 3030 17 5 2890 NOTE Show all the calculation steps 20 2 Fall 2023 1 Find the compaction curve showing the optimum moisture content and maximum dry density please use excel 2 Plot the zero air void line 3 Determine the degree of saturation at the maximum dry density

Consider the future value of the following 627 at 5 5 compounded quarterly for 4 years Give the future value for compound interest formula where A is the future value in dollars P is the present value in dollars r is the annual interest rate as a decimal n is the number of compounding periods each year and t is the time in years A Determine the following values P T n t Find the future value using the future value formula and a calculator Round your answer to the nearest cent

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

Q8 Suppose f z u x y iv x y is an analytic function where u x y 4xy 4x y x is a harmonic function no need to prove Answer the following questions while clearly mentioning any theorems and or properties that you use to obtain the answers 15pts a Find a harmonic conjugate v x y of u x y b Find f z satisfying f 1 i 1 4i c Calculate f zo for zo 4e 4 60 2 2 3i

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

A circle is divided into five equal sections Three of the sections are shaded Write a percent to represent the amount of the circle that is not shaded

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

Find the future value using the future value formula and a calculator Round your answer to the nearest cent 119 400 at 5 5 compounded continuously for 20 years

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

Q7 For each of the following functions try to prove that they are continuous at zo Otherwise show say why they are discontinuous 15pts If All correst 1 a f z 23 1 1 1 b f z Arg z i z 1 z 1 zo i zo i

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

24 1 lim zi 2 i

f 1 2i 1 21 2 1 2i 3 1 2i 4 5i 4 Q1 Find f 1 2i for f z z 2z 32 4 5i and write the final answer in rectangular form You may use the calculator 15pts f 1 2 2 3 i 4 f 21 3 3 606 0 4 43

Q6 Compute the complex limits 24 1 a lim z iz i b lim z i z 1 z i

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

11 WRITE Math Draw a model and write an equation to represent 4 times as many as 3 is 12 Explain your work

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

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

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