Basic Math Questions and Answers

6 If sales tax is 5 00 what is the total cost of a 35 68 baseball glove

11 In a one hour TV movie the commercials show 22 of the time How many minutes of commercials are shown during the one hour duration of the movie Round to the nearest tenth of a minute minutes

14 If the sales tax is 5 percent what is the total cost of a 83 01 item O 87 42 O 90 01

A recent graduate s student loans total 15 000 If these loans are at 4 8 compounded quarterly for 6 years what are the quarterly payments Round your answer to the nearest cent

13 25 of 1000 is Round your answer to the nearest hundredth if necessary

1 sized city in a certain country is planning its next fundraising campaign In recent years the program has found the percentages of donors and gift levels given in the accompanying table Develop a spreadsheet model to calculate the total amount donated based on this information if the company contacts 800 potential donors to donate at the 100 level or belc Click the icon to view the percentages of donors and gift levels Complete the following spreadsheet model to calculate the total amount donated B Amount C Average Number of Gifts 1 Gift Level 2 Benefactor 3 Philanthropist 4 Producer s Circle 5 Director s Circle 6 Principal 7 Soloist 8 9 Solicitations 10 Total Donations A 10 000 5 000 1 000 500 100 50 800 3 12 27 50 7 13 D Donations Y Y T B7 C7 B 9 B7 C7 B 9 Percentages of donors and gift levels Gift Level Benefactor Philanthropist Producer s Circle Director s Circle Principal Soloist Amount 10 000 5 000 1 000 500 100 50 Print Average Number of Gifts 3 12 27 50 7 of solicitations 13 of solicitations Done X

7 Danika bought a pair of jeans originally marked 57 00 The salesclerk told her she would get a 22 discount What was the sale price O 44 46 O 12 54 O 45 57 O 35

3 In this question you will compute the variance of a geometric distribution with parameter p a Recall the following Taylor expansion 00 r 1 r r r and n 0 Use the fact that Taylor series can be differentiated term by term to show that 00 00 n 0 1 nr 1 1 2r 3r 1 r 1 r 1 n 2 2 n n 1 2 6r 12r 1 7 n 0 b Let X Geo p Express E X X 1 as an infinite series and use the previous result to show that E X X 1 2 2p p Var Y c Recall that E X and Var X E X E X Use these to show that 1 p

distributed over 0 5 5 There is a point p 0 p 5 on a stick of length 5 The stick is cut at a point U that is uniformly a Let L p U be the length of the substick that contains the point p Find the expression for Do 5

1 10 distinct balls are randomly distributed into 7 distinct boxes For 1 i 7 define 1 if ith box is empty 0 otherwise a Find the probability mass function of X b Find E X for each 1 i 7 c Let X be the number of empty boxes Explain that X X X X7 d Use the expression X X X2 X7 to find E X

Here is a Venn Diagram with sets C D and the Shade C n D on the Venn diagram U

In 2003 a rural area had 1800 birds of a certain species If the bird population is increasing at the rate of 15 per year when will it reach 3000

Jane has a new aquarium The tank is in the shape of a fish and sell them to a local pet store The pet store will environment One of the main concerns is that each fish fish she plans to raise She finds the answer but it is giv a Find the volume of water that the tank holds in conversion facts as needed 3 ft

3 Find the arc length if the radius of answer in terms of 7 and give a

0 A radiu 7 A radius of 2 millimeters and a central angle of 6 8 A radius of 6 feet and a central angle of 4 9 2 3 A radius of 3 inches and a central angle of

1 3 Nadya has 19 yards of ribbon She cuts the ribbon into pieces that each measure 1 yards 4 How many pieces of ribbon does Nadya have

You are shopping around for different bank accounts and have found several different bankin institutions offering different types of interest Calculate the effective rate of return also known as the annual percentage yield APY of each bank account Hint E 1 7 1 Enter your answers as a percentage rounded to 2 decimal places a Wesbanco offers an account 5 93 interest compounded daily APY Number b PNC offers an account with 5 97 interest compounded weekly APY Number c United Bank offers an account with 6 01 interest compounded monthly APY Number d BB T offers an account with 6 09 interest compounded quarterly APY Number

2 Which statement describes a unit rate A Alex eats 3 apples B Kyle runs 3 miles over 2 days Zack reads 3 pages of his book per minute Michael adds 3 cups of sugar for every 2 cups of flou

0 1 2 3 A X 2 1 a 1 1 3 5 1 0 1 2 X 2 y 25 2 Fill in the table with the correct values Explain your reasoning Rate of change Slope 25x 3 Which of these tables represent this equation y 1x 3 Explain your reasoning b d 0 1 y 2 2 6 10 14 1 2 1 3 2 1 2 0 Rate of change Slope 1 3 Terlisgol yil Solumas 4 3 5

The new shark tank at the city aquarium is in the shape tank livable for the sharks the aquarium workers treat known in cubic yards a Find the volume of water in the tank in cubic ya conversion facts as needed

5 4 3 4 6 5 4 3 2 1 MathBits com 81Y 3 2 1 1 7 4 3 2 1 2 422 36 7 6 5 4 3 2 1 1 2 3 4 1 4 2 3 X 2 3 4 X 5 X LO 6

4 Rate of Change From Tables Objective Students will be able to describe what the rate of change is and derive it by looking at a table Rate of change is the change in the compared to the change in the Slope of a line how the data changes over X 0 1 2 3 Example 1 Finding the Rate of Change from a table Step 1 Choose 2 points Step 2 1 2 Step 3 Label the points with X1 X2 Y1 Y2 Step 4 Put the values into the Rate of Change Formula Step 5 Solve X y 1 2 3 4 Example 2 Try Together y ryone 0 2 4 7 9 11 13 Ay Ax 6 8 Rate of Change Slope Formula Y Y RISE X X RUN Rate of change 1 y Thoitoups aid insens 2 Rate of change Slope sa to ste slost seqdt to rod C

For each of the following integrals predict whether the improper integral converges In this case we re looking for a casual comparison that we would use to guide our search for a comparison integral that would prove convergence or divergence For example for 36 x 1 For convergence enter converges or diverges Si dx for large x the integrand looks like 1 x so we predict the integral diverges x 6 S8 da for larger the integrand looks like 8 8 for large x the integrand looks like for large x the integrand looks like S z7 dx 7 de 00 8 Six 1 e 6 1 8x 6 1 d for large x the integrand looks like 113 so we predict the integral converges so we predict the integral diverges so we predict the integral converges so we predict the integral diverges Hint Use the largest powers of x or e without coefficient in the numerator and denominator to determine your comparison

ENGAGE MINDTAP ations 6 4a Oscar is single with a taxable income for last year of 74 555 His employer with If line 11b taxable income is At But least less than And you are Single Married Married filing filing jointly sepa rately Your tax is 74 000 74 000 74 050 12 144 8 495 12 144 74 050 74 100 12 155 8 501 12 155 74 100 74 150 12 166 8 507 12 166 74 150 74 200 12 177 8 513 12 177 74 200 74 250 12 188 8 519 12 188 12 199 12 210 8 537 12 221 8 543 12 232 8 549 12 243 74 250 74 300 12 199 8 525 74 300 74 350 12 210 8 531 74 350 74 400 12 221 74 400 74 450 12 232 74 450 74 500 12 243 8 555 12 254 8 561 12 265 74 500 74 550 12 2 74 550 74 500 12 265 74 600 74 650 12 276 8 567 12 276 74 650 74 700 12 287 8 573 12 287 74 700 74 750 12 298 8 579 12 296 8 603 8 609 Head of a house hold 12 342 12 353 10 724 10 735 10 746 10 757 10 768 10 779 10 790 10 801 10 812 10 823 10 834 10 845 10 856 74 750 74 800 12 309 8 585 12 309 10 889 74 800 74 850 12 320 8 591 12 320 74 850 74 900 12 331 8 597 12 331 74 900 74 950 12 342 74 9650 75 000 12 353 10 867 10 878 10 900 10 911 10 822 10 933

For each of the following improper integrals decide if the integral converges or diverges For each be sure that you can provide good comparison integral for which the integrand is larger or smaller as appropriate than the integrand of the integral you are investigating 6 1 Sdt This integral A converges O B diverges 2 S 2 2 OA converges OB diverges 3 f do 0 5 O A converges OB diverges 4 S 5 This integral dz e 5 This integral This integral A converges OB diverges oo 2 sino da This integral a A converges B diverges AG

Cp is equal to 3 5 and the Cp lower equals 1 23 What is the value of the Cpk The author can see how you vote Learn more a 3 45 b 1 23 c 5 77 d 1 05

11 Trey drew a map of the summer camp he is staying at this summer He graphed the point D 4 5 4 5 for the dining hall The flag pole is located at D a reflection of D across the y axis The campfire is located at D a reflection of D across the x axis Identify the ordered pair that describes the location of the campfire 12 Liv drew a map of her favorite park She graphed the point S 2 2 for the swings The picnic tables are located at S a reflection of S across the x axis The lake is located at S a reflection of S across the y axis Identify the ordered pair that describes the location of the lake 13 FIND THE ERROR A student was finding the ordered pair for point Y 1 5 2 after its reflection across the x axis Find the student s mistake and correct it Y 1 5 2 Y 1 5 2 15 Identify the coordinates of a point located in Quadrant III Reflect the point across the y axis Then give the coordinates of the reflected point 14 BUILD PERSEVERANCE Determine whethe the statement is always sometimes or never true Justify your response When a point is reflected across the x axi the new point has a negative y coordinate 16 ANALYZE REASONING A point is located on the y axis It is reflected across the x axis What do you know about the x and y coordinates of the reflected point

Between 1995 and 2015 homeownership rates in a certain region rose and then fell in a pattern that can be modeled by a quadratic function as shown in the graph Use the data points 4 62 8 63 and 12 63 to find a quadratic function that fits the data Then use the function to estimate the homeownership rate in 2001 The function is h x Use integers or fractions for any numbers in the expression Homeownership rate 64 60 564 0 Homeownership Rates 16 Number of years after 1905

10 Select the two pairs of numbers in which the digit 5 in the first number has a value that is the value of the 10 digit 5 in the second number A 4 651 and 2 735 B 8 275 and 3 518 2 596 and 5 692 21145 and 4351

SUSTENE ARE Write the ordered pair that is a reflection of each point across the x axis Example 1 1 A 23 1 2 B 1 1 3 c 4 2 5 Aika is building a square garden She places a garden post at 3 5 3 5 What is the location of the corner that reflects 3 5 3 5 across the y axis Example 2 7 The point C 4 2 is the result of reflecting C 4 2 in the coordinate plane Identify the axis across which the point was reflected Example 3 9 Graph point Z 4 2 5 on the coordinate plane Then graph its reflection across the y axis 4 7 3 1 2 4 1 O A 2 y 1 2 3 4 X LES GO Practice Spiral Review Extra Practice ONLINE 4 6 A farmer is installing a chicken pen in the shape of a square He placed a corner of the enclosure at 5 25 5 25 What is the location of the corner that reflects 5 25 5 25 across the y axis Example 2 8 The point B 5 3 is the result of reflecting B 5 3 in the coordinate plane Identify the axis across which the point was reflected Example 3 10 Graph point M 3 1 on the coordinate plane Then graph its reflection across the x axis 1 y 1 O 1 2 2 3 x

3 Number of Animals 10 9 8 87 6 54 3 2 1 0 3 bears dogs Animals A WHITE tigers Fxyre Games Bask bears dogs tigers 3 animals rainbow gol G

SHOW YOUR WORK Show all work neatly on paper At the top of the page writ this assessment Clearly number each problem Box all answers Save all work in the course See this sample A 3 2 1 The graph above shows the function f x The graph below shows g x B 34 Quoctie 3 3 O g x is a transformation of f x where g x Af Bx where Hogy D

ephanie Vega Martinez Attempt 1 Question 4 12 5 points Given the following graphs of the two function which statement must be true f x Ley 2 f x 3 x 3 f x 1 1 2 34 Which function below is equivalent to g x g x 1 2 N 1 14 2 3

O is the center of the regular octagon below Find its area Round to th if necessary 15

may venerson County P t Presentation pp Animal populations are not capable of unrestricted growth because of limited habita d 1 ke ct where c d and k are positive constants For a certain fish population in a small por a How many fish were originally put in the pond fish b Find the population after 10 20 and 30 years Round your answers to fish 10 years 20 years fish

Multiple Choice entify the choice that best completes the statement or answers the question Express the following vertical angles as zenith distances 1 0 10 a 89 50 B 89 50 d 0 10 0 10

ork Question 5 of 20 Current Attempt in Progress McKnight Company is considering two different mutu expected useful life of 11 years a salvage value of zero cost 298 000 has an expected useful life of 11 years 50 200 A discount rate of 9 is appropriate for both

4 5 4 Jada drew a net for a polyhedron and calculated its surface area 20 sq cm 5 5 12 sq cm 4 16 sq cm 4 5 5 3 12 sq cm 3 3 12 sq cm 3 a What polyhedron can be assembled from this net b Jada made some mistakes in her area calculation What were the mistakes c Find the surface area of the polyhedron Show your reasoning

Find the angular speed of the minute hand of a clock The angular speed is radian per min

Cristian has been offered positions by two cable companies The first company pays a salary of 18 000 plus a commission of 30 for each cable package sold The second pays a salary of 13 000 plus a commission of 50 for each cable package sold How many cable packages would need to be sold to make the total pay the same

2 5 pts Describe the shape of the given histogram 150 100 50 0 20 40 60

3 The student programming board is deciding which band to bring to campus for a student concert The possibilities are Matisyahu Lady A and The Black Keys Complete the following preference table so that The Black Keys win the election using the majority rule Rankings 1st 2nd 3rd Total Votes The Black Keys Lady A Matisyahu Lady A Matisyahu The Black Keys 9 Matisyahu The Black Keys Lady A 2

Attempt 1 of 5 Find the expected value of the probability experiment with outcomes X X X 19 X 1 X 4 X 18 P X P X P X 7 P X 9 The expected value of the probability experiment is S cent if necessary Round your answer to the nearest 2 9

40 Is a Factor 5 DRAG AND DROP ITENS 3 10 25 Is Not a Fact DRAG AND DROPITEMS

A taco truck is open for business during a 4 hour window each day They fulfill an averages of 46 orders per hour and each order has an average of 12 tacos a Estimate the number of tacos that are served each day b Estimate the number of tacos that are served each month

How many factors does the number 3 have factors

2 Place the numbers 1 through 9 in the given circles so that the sum of the numbers on each side of the triangle is 20

and 2 or neither 10 and 2 20 DRAG AND DROOTTENE 5 and 4 9 and 1 9 3 and 3 DRAGANDE 10 and 10 Neither DRAG AND CLEA

ch the factor table for the number 54 Row 1 Row 2 Row 3 Row 4

Sara came across a new website that featured a live fortune teller She typed in three questions and found shockingly that the fortune teller could only answer yes or no to her questions Construct the sample space for all possible answers for her three questions Assuming this spooky fortune teller is actually just choosing the responses at random find the probability that a All answers will be yes or all answers will be no b The answers will alternate i e Yes No Yes or No Yes No c Exactly one answer will be yes Write your answers in exact simplified form