Basic Math Questions and Answers

Use the situation below to complete Exercises 1 6 in the table below Discounts R Us buys items at wholesale then marks them up to set a retail sale price Some of the items the store sells are shown in the table below Item 1 Notebook 2 Scissors 3 Calculator 4 Sunglasses 5 Bicycle 6 Picture frame Wholesale Price 1 50 3 25 9 60 12 50 78 00 2 99 Markup Markup 20 40 25 78 55 150 Find the retail sale price of each item below Round to two decimal places when necessary 7 Original price 65 00 Markdown 12 9 Original price 119 00 Markdown 70 8 Original price 29 99 Markdown 33 10 Original price 325 50 Markdown 15 Ise the information to complete 11 14 jewelry supply shop buys silver chains from a manufacturer for dollars each and then sells the chains at a 57 markup Retail Sale Price Write the markup as a decimal Write an expression for the retail price of a silver chain What is the retail price of a silver chain purchased for 45 00

Kuta Software Infinite Algebra 1 Finding Slope From Two Points Find the slope of the line through each pair of points 1 19 16 7 15 3 4 7 6 4 5 17 13 17 8 7 3 0 11 15 Name Date 2 1 19 2 7 4 20 8 9 16 6 19 3 20 3 8 19 2 11 10 Peric

In AHIJ m H m I 3x 12 m I 5x 9 and m J 2x 9 Find

9 00 8 25 7 50 6 75 6 00 5 25 4 50 3 75 3 00 2 25 1 50 0 75 0 0 4 Price Supply 2 4 Kevin s Weekly Supply A 6 8 10 12 14 16 QUANTITY Slices of quiche 18 20 22 24 e previous graph you can determine that Kevin is willing to supply his 6th weekly slice of quiche for the producer surplus earned from supplying the 6th slice of quiche is

omework Ch 07 Pennsylvania Eacn seller nas a single motor scooter ror sale Ine market price or motor scooters is given by the no Each rectangle on the graph corresponds to a particular seller in this market blue circle symbols for Nick green diamond symbols for Tim tan dash symbols for Alyssa and orange square symbols for Brian Note The nam corresponding segment on the supply curve Use the rectangles to shade the areas representing producer surplus for each person who is willing to sell a motor s Note If a person will not sell a motor scooter at the market price indicate this by leaving their rectangle in its ori PRICE Dollars per motor scooter 480 420 360 300 240 180 120 Rosa Tim Alyssa Brian Market Price Nick Rosa Tim Ayssa

PRICE Dollars per bowl 7 50 6 75 6 00 5 25 4 50 3 75 3 00 2 25 1 50 0 75 0 0 Demand Price 2 4 Darnell s Monthly Demand 6 3 A 6 8 10 12 14 QUANTITY acai bowls 16 18 20

PRICE Dollars per used textbook 160 120 80 40 0 0 Rajiv 4 1 X Simone Yakov Ana 00 Charles 2 3 4 QUANTITY Used textbooks 5 Dina Region X the purple shaded area represents total producer surplus when the market price is equ area represents when the market price In the following table indicate which statements are true or false based on the informa

1 Write down a number that has the same value as each number a 151 b 1 12 91 2 Write down a number that has a value less than 14 71 number that has a value greater than 1 2 61

6 b c O For 5 8 refer to the parallelogram below Write answers only using a b c d and their multiples O b C a A b DI

Pretend your homeowners policy has a premium of 150 a deductible of 5 000 and a limit of 300 000 Your home suffers 170 000 in damages 1 How much will you pay for the damages 2 How much will your insurance pay

16 What is the sum of the finite arithmetic series 8 15 22 29 64

7 A fuel tank is being designed to contain 200 m of gasoline but the maximum length of a tank measured from the tips of each hemisphere that can be safely transported to clients is 16 m long The design of the tank calls for a cylindrical part in the middle with hemispheres at each end If the hemispheres are twice as expensive per unit area as the cylindrical part find the radius and height of the cylindrical part so the cost of manufacturing the tank will be minimal Give your answers correct to the nearest centimetre

Cool Down Folding into Thirds Han has a thin rectangular sheet of paper Its area is 450 square inches He folds it into thirds and then he folds the resulting rectangle into thirds again 1 Han believes that after two rounds of folding the visible area of the folded paper will be 150 square inches or one third of the original area Do you agree Explain your reasoning I 2 What is the visible area of the paper in square inches after 4 rounds of folding Explain or show your reasoning

4 Lesson 3 Understanding Rational Inputs Cool Down Flea Treatment Veterinarians use different medications to treat fleas in dogs Once administered the medication typically decays exponentially One treatment decays by half each week A dog receives 4 mL of medication and the function f gives the number of mL of medicine left after w weeks 1 Find the amount of medication in the dog s bloodstream 1 week 2 weeks and 3 weeks after it is administered 2 Write an expression to represent the amount of medication in its bloodstream 1 day after it is administered 3 Explain what f means in this context

Cool Down Blog Subscribers At the beginning of the year a blogger has 150 subscribers Since then the number of subscribers to her blog has been doubling every 6 months thanks to some successful appearances on television 1 By what factor is the number of subscribers increasing every month I 2 Select all equations that represent the number of subscribers S in terms of m months since the beginning of the year when she had 150 subscribers a S 150 2 b S 150 m c S 150 2 d S 150 e S 150 2 m

Guided Practice Make sure quotients are in scientific notation 7 Lesson 9 DIVIDING WITH SCIENTIFIC 4 6 7 x 10 6 7 x 10 6 140 x 10 6 0 05 0 05 Change 140 into 1 4x 102 in order to convert to scientific notation X 10 x10 x 100 3 x 10 400 1 x 10 0 016 x10 x 10 2014 01 01 3 400 4 x 10 8 0 16 x 10 00 Convert to scientific notation X 10 x 10 x 10 X 10 Convert to scientific notation 3 X 100 x 102 x 10 X 10 10 10 X 10

open page n r nt P1001 Chapter 8b Quiz 8 5 to determine the regular payment amount rou

21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 5 5 8 2 1 2 3 4 5 6 7 8 9 10 11 1 a What are the next three pictures of the pattern Draw them and fill in the table and graph b What is the 10th term y value c What is the 50th term Shape or Term number x or n 1 2 3 4 5 5 n 3 Number of shapes in the term y or an

RIDDLE At the dining room table the mother said Stop reaching Haven t you g a tongue What did the son say in response solution section beside the answer to the first problem is the first word in the answer to the riddle the word be Directions To find the answer to the riddle write the answers to the problems on the lines The word ir the answer to the second problem is the second word and so on Round your answers to two decimal places 10 9 7 6 5 0 25 8 15 20 G 10 1 C 6 X 5 10 3 4 9 3 1 3 4 7 7 7 1 0 20 25 25 25 Y 10 12 H 6 8 D 9 46 A 20 15 10 18 9 6 E 35 41 55 50 35 30 I 11 14 7 2 1 15 B 0 0 5 2 10 15 F 8 8 9 10 10 10 J 0 0 0 ooo 0 0 Con

At the age of 32 to save for retirement you decide to deposit 60 at the end of each month in an IRA that pays 5 5 compounded monthly a b Use the following formula to determine how much you will have in the IRA when you retire at age 65 P 1 1 2 A A C IE Find the interest nt or This question 1 point s possible a You will have approximately in the IRA when you retire Do not round until the final answer Then round to the nearest dollar as needed b The interest is approximately Use the answer from part a to find this answer Round to the nearest dollar as needed

P Failed to open page 5 8 6 8 7 bpose that O

Determine the number of slack variables and name them Then use the slack variables to convert each constraint into a linear equation B How many and which slack variables should be assigned OA There are three slack variables named X X2 S1 B There are five slack variables named X1 X2 1 2 3 OC There are two slack variables named 2 OD There are three slack variables named S1 S2 S3 Maximize z 6x 3x subject to with 9x1 X2 176 15x 6x2 229 14x x 307 x 20 X 20

avid and Daniel each walked the same distance to work David walked ph and Daniel walked 6 mph Daniel s walk took one hour less than avid s How far is it to work elect one O a 12 miles O b 8 miles O c 18 miles O d 2 miles

Donna De Paul is raising money for the homeless She discovers that each church group requires 2 hours of letter writing and 1 hour of follow up while for each labor union she needs 2 hours of letter writing and 3 hours of follow up Donna can raise 125 from each church group and 175 from each union local and she has a maximum of 20 hours of letter writing and a maximum of 12 hours of follow up available per month Determine the most profitable mixture of groups she should contact and the most money she can raise in a month Let x be the number of church groups and let x be the number of labor unions What is the objective function z x x Do not include the symbol in your answers

As part of a weight reduction program a man designs a monthly exercise program consisting of bicycling jogging and swimming He would like to exercise at most 24 hours devote at most 6 hours to swimming and jog for no more than the total number of hours bicycling and swimming The calories burned by this person per hour by bicycling jogging and swimming are 200 591 and 269 respectively How many hours should be allotted to each activity to maximize the number of calories burned What is the maximum number of calories he will burn Hint Write the constraint involving jogging in the form 0 www Let x be the number of hours spent bicycling let x be the number of hours spent jogging and let x3 be the number of hours spent swimming What is the objective function 2 x x x3

In a state s lottery you can bet 4 by selecting three digits each between 0 and 9 inclusi through e a How many different selections are possible b What is the probability of winning Simplify your answer

Make drawings to represent the quantitative structure described in each of the following story problems a Andria poured herself 12 ounces of coffee She drank 7 5 ounces How much coffee does she have now b Byron is training for a marathon Today he needs to run 12 miles He has run 7 5 miles so far How much farther does he need to run to meet his training goal c Carolyn is 12 years old David is 7 5 years old How

A machine is used to fill soda bottles The a bottle varies slightly Suppose the amount o normally distributed with a mean of 590 ml What is the probability that a randomly sele has more than 600 ml of soda If the machi how many of these bottles do you expect to 22 8

The time it takes for seed of a certain variety distributed with a mean of 120 hours and a s What is the probability that a randomly selec hours to germinate 0 49 0 50 0 6915 FOR

Suppose weights of olives that are class distributed with a mean weight of 7 5 g grams Which of he following is the pr olive weighs less than 7 4 grams OP Z 7 5 7 4 7 5 0 2

Suppose that scores on an exam a variance of 81 What is the first q 73 9

The unit cost in dollars to produce tubs of ice cream is 5 and the fixed cost is 21980 The revenue function in dollars is R x 2x 459x Find the profit function P x At what quantity is the smallest break even point Select an answer V

x 1 x 9 2 9X 1X 9 y x 9x 17 9 y x lox q c f x 2 x 4 x 2 d y x x 6 direction of opening x intercepts vertex Is vertex max or min axis of symmetry y intercept direction of opening x intercepts vertex Is vertex max or min axis of symmetry y intercept direction of opening x intercepts vertex Is vertex max or min axis of symmetry y intercept

estion 2 3 points Professor Toogray s class only th ppose marks in the class are nor riance of 36 Ravi is senior hopi

Solve the system of equations by graphing Jy 2x 2 3x 6y Solution 6 6 5 4 3 2 6 5 4 3 2 1 2 3 4 5 to 3

Which statement is NOT true about the U S Supreme Court a The highest court in the land is the Supreme Court of the United States b The Supreme Court reviews trial court records appellate records and hears testimony from the trial all o again to come to a decision K c The Supreme Court is composed of nine justices appointed by the President and confirmed by the Senate d The Supreme Court receives most of its cases from Federal Circuit Courts but can also under special

Answer the question using the Excel Spreadsheet Looking at the growth rate of GDP from 1960 to 2021 were the growth rates in the latest expansion stronger or weaker than previous growth rates coming out of recession years A B C D 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 None of the above Year The most recent expansion s growth rates were stronger than previous cycles The most recent expansion s growth rates were about the same previous cycles The most recent expansion s growth rates were weaker than previous cycles 16 C Cons 1969 1 960 50 1960 2 014 30 1961 2 055 60 1962 2 157 30 1963 2 246 30 1964 2 380 00 1965 2 531 00 1966 2 674 50 1967 2 754 40 1968 2 913 10 0 342 0 106 0 344 0 111 0 337 0 114 0 327 0 116 0 37 0 31 11 90 6 79 7 88 13 83 1970 3 092 90 1971 3 211 00 1972 3 407 70 1973 3 576 30 1974 3 546 40 1975 3 626 80 1976 3 828 90 1977 3 990 70 6 63 16 19 19 07 1 20 0 261 0 134 14 27 2 87 0 254 0 141 Invest Govt Exports Imports GDP GDPGRW GOVGRW GOVIGDP CON GDP INVGRW 351 40 1 079 50 96 00 133 90 3 180 20 0 339 0 110 352 70 1 086 30 112 70 135 70 3 262 10 2 58 0 63 0 333 0 108 353 80 1 145 10 113 30 134 80 3 345 70 2 56 5 41 395 90 1 220 00 119 00 150 10 3 550 70 6 13 6 54 422 80 1 249 60 127 50 154 20 3 705 30 4 35 2 43 456 10 1 280 20 142 60 162 40 3 918 80 5 76 2 45 519 20 1 321 10 146 60 179 60 4 173 40 6 50 3 19 0 317 0 124 565 90 1 436 30 156 70 206 30 4 448 70 6 60 8 72 0 323 0 127 8 99 546 10 1 550 20 160 30 221 40 4 570 70 2 74 7 93 0 339 0 119 3 50 578 70 1 603 00 172 90 254 30 4 795 40 4 92 3 41 0 334 0 121 5 97 1969 3 021 80 610 90 1 604 70 181 40 268 80 4 945 20 3 12 0 11 0 324 0 124 5 56 573 80 1 570 80 200 70 280 30 4 954 40 0 19 2 11 0 317 0 116 6 07 632 90 1 541 40 204 20 295 30 5 117 60 3 29 1 87 0 301 0 124 10 30 704 20 1 533 50 220 10 328 50 5 386 70 5 26 0 51 0 285 0 131 11 27 781 30 1 528 50 261 50 343 70 5 690 90 5 65 0 33 0 269 0 137 10 95 729 50 1 562 10 282 30 335 90 5 660 10 0 54 2 20 0 276 0 129 611 40 1 596 50 280 50 298 60 5 648 50 0 20 2 20 0 283 0 108 728 00 1 604 90 292 70 357 00 5 952 80 5 39 0 270 0 53 0 122 831 90 1 624 20 299 80 396 00 6 228 10 4 62 1978 4 165 40 928 10 1 670 80 331 40 430 40 6 572 80 5 53 11 56 1979 4 264 40 960 70 1 700 80 364 20 437 50 6 780 90 3 17 1 80 0 251 0 142 3 51 1980 4 251 10 864 00 1 731 60 403 40 408 40 6 763 50 0 26 1 81 0 256 0 128 10 07 1981 4 310 00 940 10 1 748 40 408 40 419 10 6 935 20 2 54 0 97 0 252 0 136 1982 4 373 10 822 00 1 779 80 377 10 413 70 6 810 10 1 80 1 80 0 261 0 121 1983 4 620 70 898 70 1 846 20 367 30 465 90 7 122 30 4 58 3 73 0 259 0 126 1984 4 863 80 1 144 00 1 911 10 397 30 579 30 7 637 70 7 24 3 52 0 250 0 150 1985 5 115 60 1 143 20 2 038 60 410 60 616 90 7 956 20 4 17 6 67 0 256 0 144 1986 5 326 80 1 145 00 2 149 30 442 00 669 60 8 231 70 3 46 5 43 0 261 0 139 1987 5 507 60 1 177 60 2 211 70 490 30 709 40 8 516 40 3 46 2 90 0 260 0 138 1988 5 737 70 1 206 60 2 239 20 569 80 737 20 8 872 20 4 18 1 24 0 252 0 136 1989 5 905 00 1 255 40 2 302 80 635 80 769 70 3 67 9 198 00 0 250 1990 6 023 90 1 223 00 2 376 50 691 90 797 20 9 371 50 1 89 1991 6 034 80 1 142 10 2 405 00 737 70 796 00 9 361 30 0 11 1992 6 256 90 1 225 30 2 416 10 788 80 851 80 9 691 10 3 52 1993 6 474 80 1 323 30 2 396 30 814 50 925 50 9 957 70 2 75 0 82 0 241 0 133 1994 6 725 70 1 479 80 2 398 30 886 50 1 035 90 10 358 90 4 03 0 08 0 232 0 143 1995 6 924 10 1 527 30 2 410 60 977 60 1 118 70 10 637 00 2 68 1996 7 164 40 1 660 80 2 432 90 1 057 50 1 216 00 11 038 30 3 77 1997 7 434 20 1 850 20 2 472 80 1 183 50 1 379 80 11 529 20 4 45 1998 7 829 00 2 026 30 2 532 80 1 211 10 1 541 10 12 045 80 4 48 2 43 0 210 0 168 1999 8 250 30 2 198 70 2 615 70 1 271 50 1 719 80 12 623 40 4 80 3 27 0 207 0 174 2000 8 665 80 2 346 70 2 663 30 1 377 20 4 08 1 82 0 203 0 179 2001 8 880 40 2 214 60 2 763 70 1 300 30 0 95 3 77 0 208 0 167 2002 9 106 20 2 195 50 2 886 60 1 274 80 1 70 4 45 0 214 0 163 2003 9 394 40 2 290 40 2 945 70 1 301 60 2 80 2 05 0 212 0 165 2004 9 748 60 2 502 60 2 991 10 1 427 00 3 85 1 54 2005 10 093 80 2 670 60 3 013 80 1 526 10 3 48 0 76 2006 10 386 20 2 752 40 3 061 80 1 670 50 2 78 1 59 2007 10 638 70 2 684 10 3 116 90 1 816 90 2 01 1 80 8 81 12 56 9 33 27 29 0 07 0 16 2 85 2 46 0 136 0 254 0 131 2 84 3 20 1 20 0 46 0 257 0 122 0 249 0 126 0 51 0 227 0 144 0 93 0 220 0 150 1 64 0 214 0 160 1 943 30 13 138 00 1 895 50 13 263 40 1 965 10 13 488 40 2 065 80 13 865 50 2 292 60 14 399 70 2 441 40 14 901 30 2 598 20 15 315 90 2 664 80 15 623 90 0 208 0 174 0 202 0 179 0 200 0 180 0 199 0 172 4 04 2 58 6 61 7 28 8 00 11 83 3 21 8 74 11 40 9 52 8 51 6 73 5 63 0 86 4 32 9 26 6 71 3 06 2 48 25 000 00 20 000 00 15 000 00 10 000 00 5 000 00 0 1 0 00 0 06 0 04 0 02 0 0 01950 0 04 0 06 Major Components of GDP 19592021 13579111315171921232527293133353739414345474951535557596163 Coninvest Gov t Year GDP VS GOV GROWTH 19592021 M 1960 1970 198 1990 2000 GDPGRW GOVERW 2010 2020 2030

X t ALGO SENIOREN in prid t X X x x Xp X etc et e ASF s ds 10 P X 24 Find the general solution of the given system 0 x 19 X 0 2 O

Solve by Elimination Addition 5x 4y 10x 8y O No solution 13 26 Infinite number of solutions

At the age of 30 to save for retirement you decide to deposit 70 at the end of each month in an IRA that pays 4 5 compounded monthly a b Use the following formula to determine how much you will have in the IRA when you retire at age 65 P 1 r 1 r A A P nt 8 Find the interest or 1 a You will have approximately in the IRA when you retire Do not round until the final answer Then round to the nearest dollar as needed

4a Factor the function by using synthetic division f x 2x 9x 3x 4 b Graph the function A 3 T 3

Use the method of Example 2 in Section 8 4 to compute eat for the coefficient matrix 3 1 x X e At X Use X etc to find the general solution of the given system X t

The effectiveness of a machine can be described as which is the ratio of input force to outpu

Use the definition of the matrix exponential given in 3 of Section 8 4 For any n x n matrix A to compute e At eAt A eAt I At 1 1 1 1 2 2 2 A t A 2 Aktk k k 0 Aktk k

Find the polynomial function F with real coefficients having the given degree and zeros Let the leading coefficient a be 1 Degree 4 zeros i 1 i Degree 6 zeros i 4 i 2 i Degree 5 zeros 1 multiplicity 3 1 i

3x 1 3 x 4 11 Express numbers in exact form Use symbolic notation and fractions where needed Enter 0 if there is no remainder Dividend Divisor Quotient Remainder

ework 8 5 a Suppose that you earned a bachelor s degree and now you re teaching high school The school distr take a year off to earn a master s degree To achieve this goal you deposit 1000 at the end of each compounded annually How much will you have saved the end of five years Find the interest Click the icon to view some finance formulas b Assignments Formuloo ab

2 When x Kx 2x 3 is divided by x 2 the remainder is 1 Solve for K T2

Graph the curve given by the parametric equations below and show its orientation x 3 cost y 3 sint 0 t n

9 a Lashonda entered a raffle to win a movie ticket The probability that she wins a movie ticket is Find the odds in favor of her winning a movie 16 ticket 0 00 X 00 to D 11 b Frank is watching his favorite soccer team playing a match The odds against his favorite team winning are What is the probability of his favorite team winning 0 Espa o 2 U E 199 E 17