Permutations and Combinations Questions and Answers

Using the Rule of 70 what approximate Interest rate would be needed for an investment of 14 000 to double by the end of 35 years A B 2 19 2 00 STU

to purchase stock in a company The broker charges a set fee of 7 per transaction If the shares are worth 7 69 sh and you have 850 to invest how many shares can you purchase C 0 00 0 17 Hint 1 Subtract the broker fee from the investment amount 2 Divide new investment amount step 1 by the price per share 3 Be careful of rounding A Speed 1x 109 shares Paused

1 Assuming that y is a positive integer evaluate the following expression log 1 A 0 1 C 10 D not enough given information

Ryan is a cartoonist He sends 28 comics to the newspaper printer in the 1 week Each week after he sends 3 more comics than the previous week to the newspaper Find the total number of comic strips be has sent after 10 weeks A 55 B 275 C 290 D 415

Find the equation of the line through 8 7 which is perpendicular to the line y 9 Give your answer in the form y mx b Provide your answer below

of Bill is the named insured on his auto policy Which one of the D following scenarios is NOT covered by the Liability Coverage under Bill s unendorsed Personal Auto Policy property damage to another vehicle caused by Bill while driving a borrowed pickup to carry building materials for an addition to his family home injuries caused by Tommy Bill s resident son while Tommy is driving his own car insured by Tommy on his own Personal Auto Policy injuries to four people as a result of Bill driving his neighbor s vehicle for a church trip property damage to a house caused by Bill when he is driving a borrowed car while his is in the repair shop

Compare renting and buying by identifying the advantages of each below Press on an item in the answer box then press on the box under the corresponding category To remove an item you can press on the box and the trash can icon to the right of the item you want to remove CA 0 00 0 19 Speed 1x Paused

B 2 580 00 C 14 930 56 MULTIPLE CHOICE Question 7 Listen

You are creating a formula in Excel that uses the following information Monthly Expenses are in cells A2 A6 Yearly Expenses are in cells B2 B4 To create your formula you need to add all the yearly expenses then divide by 12 Then add the sum of the monthly expenses to find the adjusted monthly amount What would this formula look like A 1 2 3 4 5 6 Monthly Expenses Yearly Expenses 1 000 00 279 00 197 82 50 00 100 00 75 00 32 75 47 85 A SUM B2 B4 12 SUM A2 A6 B B SUM A2 A6 12 SUM B2 B4

1 point What is the density in grams cubic inch of a substance with a mass of 6 grams filling a rectangular box with dimensions 2 in x 6 in x 3 in 8 0 17 6 0 11

Area is expressed in square cubic cubic square single square half whole units while volume is expressed in units

What shape is a soccer ball rectangular prism cylinder cone sphere

If fox 3 x 9 and g x x 4 what are the restrictions on the domain for the combined function how f x g x

Given that 4i is a zero factor the following polynomial function completely Use the Conjugate Roots Theorem if applicable f x x4 3x 2x 48x 288 Answer f x

wer f x f x x 7x 44x 468x 1120

Your answer is wrong In addition to checking your math check that you used the right data and DID NOT round any intermediate calculations mg kg A 49 0 kg patient being treated for leukemia is to receive an IV infusion of 3 of normal saline in which 0 500 g of cyclophosphamide has been dissolved To what infusion rate should the IV pump be set Round your answer to the nearest 5292000 cyclophosphamide over 60 min The pharmacy has prepared a 300 mL IV bag mL h mL h

14 The function f x 2x 6x 12 has a domain consisting of the integers from 2 to 1 inclusive Which set represents the aluon for fl 2 Use this space computations

17 The function f x is graphed below f x The domain of this function is 1 all positive real numbers 2 all positive integers 3 x 0 4 x 1 X 18 Which pair of equations would have 1 2 as a solution 1 y x 3 and y 2 2 y x 1 and y 2x 3 y x 3x 2 and y 4x 6 1 3

19 Which function could be used to represent the sequence 8 20 50 125 312 5 given that a 8 1 an an 1 a 2 a 2 5 an 1 3 a a 1 5 an 1 4 a a an 1

2 What kind of variations does the following data show X 50 25 12 5 O Inverse Direct Y 2 1 0 5 270

4 Identify the equation of the graph 3x 4y 12 3x 4y 12 3x 4y 12 3z 4y 12 XX

their 5th grading period Please answer the following questions in the proper format required by each question Math 15 3 12 5 Science English 23 2 1 How many students were counted in the survey 2 How many students are taking only Science classes 3 If a student was selected at random what is the probability of choosing one who takes both math and science class answer the question in simplest fractional form 4 If a student was selected at random what is the probability of choosing one who takes both math or science class answer the question in simplest

x 5 graphing it on your graphing calculator Verify the graph by solving the equation algebraically What are the values for x that make the equation undefined Mark all that apply 10 6 The equation is defined for all values of x 0 5 07 by X 1

Alicia Cox purchased a 4 year certificate of deposit for 15 000 the certificate earns interest at a rate of 3 75 compounded daily 360 What is the interest earned 2 932 36 2 427 38 2 125 34 15 000 00

2 2 453 If sin 32 cos M 1 then M equals 1 2 3 4 32 58 68 72

3 Find the sum of the geometric series k 3 x

6 For the geometric sequence find the two missing terms between and 1 7 1

Q3 Use the graph to write an equation for g x g x F x O 0 3

Enter the letter of the graph which corresponds to each new function defined below 1 g x 2 2 is 2 g 2x is 3 2 g x is 4 g x 2 2 is E A M 8 C MM W D m

Let L R R be the linear operator given by the rule L x y 2x y 4x 2y and let B be the following ordered basis for R B 0 1 1 1 Then the matrix L B of L with respect to B and B is which one of the following 3 148 12 LIB 4 2 2 1 3 1 3 1 LB 4 3 1 23 OB 4 27

etermine the domain and range for the graph below Write your answers in interval notation 5 4 3 2 1 4 3 2 1 2 3 y 1 2 3 5 Domain written in interval notation x

10 u 5 There are 32 students in Mr Schafte s 6th period class Mr Schafte is going to select a group of four students to sit in the learning team next to his desk How many different four student learning teams could he select to sit next to his desk

5 There are 32 students in Mr Schafte s 6th period class Mr Schafte is going to select a group of four students to sit in the learning team next to his desk How many different four student learning teams could he select to sit next to his desk

5 r 10r 7 11r 12r 8x 11x 6 2x 11 6x 8 v 12v 10 4p 2p

Match each formula a c with its corresponding table of values 1 III 1 x f x iii x h x a y 4x 1 Select b y 6x0 9 Select c y 4 1 1 Select 2 11 20 2 8 57 3 4 16 13 20 89 4 5 25 54 8 18 38 28 71 39 40 6 30 09 10 50 36 II g x 1 4 40 2 4 84 3 4 5 32 5 86 6

So 1 120 para 0 t 120 8 05 Percentil 75 de Y40 11

Consider the following graph Note that the filled dots are part of the grap and the unfilled dots are excluded from the graph 3 24 A 10 12 1 1 2 3 a Determine whether it is a function Explain b Use the graph to find g 1 g 0 g 2 and g 3

1ugu COng von v prvou t So 1 120 para 0 t 120 6 05 Percentil 75 de Y 40 Seguro discreto temporal 10 a os crociento Y 40 si the whole life annuity

Simplify Assume all variables are nonnegative 27x y 64x y x y 125x y

P3 x x 21x 20x Requirements For Polynomial Standard Form Factored Form Other points Multiplicity Chart 6

Simplify 2 27 2 12 Provide your answer below

Solve the system of differential equations x 2y 2z 3e 2 2x 4y z 1 2x 4y z 2z 0 initial values x 0 1 x 0 1 y 0 z 0 3 z 0 4

Determine the amplitude of the following graph 3 2 AM 1 157 37 92 3 20 37 3 1 31 2 4 9 7 2 4 5 4 2 3 4 5 4 2 9 7 4 37 157 9 71 4 2 IN X

A gardener has ten rows available in her vegetable garden to place ten different vegetables Each vegetable will be allowed one and only one row How many ways vegetables in her garden There are ways to position the vegetables in the garden Type a whole number there position these

X Construct a normal distribution curve and label the horizontal axis Then answer each question The mean life of a tire is 30 000 km The standard deviation is 2000 km km and km 1 68 of all tires will have a life between 2 95 of all tires will have a life between km and 3 What percent of the tires will have a life that exceeds 26 000 km 4 If a company purchased 2000 tires how many tires would you expect to last more than 28 000 km km 5 If a company purchased 2000 tires how many tires would you expect to last less than 26 000 km 6 If a company purchased 2000 tires how many tires would you expect to last between 26 000 km and 34 000 km X Answer each of these 1 How many ways can eight computer operators be seated in a row 2 How many ways can a student select two electives from a possible choice of ten electives

2 SOLVE THE SYSTEM OF EQUATIONS X Y Z 7 0 3X 2Y 12Z 11 2 4X Y 112 18 3 FIND THE SOLUTION SET FOR THE SYSTEM AS A FUNCTION OF XY OR Z WITH X Y Z BEING ARBITRARY

T8B Check for Understanding Name 1 4 The distribution of heights of young women aged 18 to 24 is approximately distributed with a mean of 64 5 and a standard deviation of 2 5 in 18 1 Sketch a Normal density curve for the distribution of young women s heights Label the points one two and three standard deviations from the mean 19 20 21 22 23 2 What percent of young women have heights greater than 67 inches Per 24

S Select the correct answer Function is composed of an exponential piece and a polynomial piece f x 10 8 6 4 2 OA I 3 08 OC 1 GD 2 10 2 1 8 6 4 NO 2 4 6 8 10 N 0 2 4 6 8 10 Which inequality represents the domain of the exponential piece X

For the given graph 6 5 4 3 2 1 a The slope m 16 5 4 3 2 1 1 2 3 4 13 1 2 3 4 5 6 b The y intercept b c The equation of the line in slope intercept form i e y mx b is

Compute 35 14 1 3 35 3 14 1 2 35 2 35 1 1 35 2 2 35 1