Sequences & Series Questions and Answers

c logu is between log0 77 Part 4 of 6 and d log0 0000038 is between and X X

Precision Printing incorporated as a new business on June 1st 2022 Here are the transactions for the month of June the first month in o Jun 1 Owners invested 50 000 cash into the business in exchange for common stock Jun 3 Purchased a new printing equipment for 15 000 with 5 000 cash and the rest on a loan from the bank Jun 5 Paid for a 4 month liability insurance upfront for 800 Jun 6 Purchased printing supplies for 550 on account Jun 10 Paid the June rent for 2 500 Jun 15 Performed printing services and billed customer for 3 500 Jun 20 Paid 6 000 on the balance due for the equipment purchased on Jun 3 Jun 25 Performed printing service for 2 300 and collected cash payment Jun 30 Paid employees salaries for 4 800 Jun 30 Received full payment from customer billed on Jun 15 Month end Adjusting information 1 Depreciation on the printing equipment is 125 a month 3 Supplies of 200 are left on hand at the end of June 4 One month of liability insurance has expired 5 Accrued interest on the equipment loan was 250 for the month Instructions 1 Journalize the June transactions 2 Post to ledger T accounts 3 Prepare a Trial Balance as of June 30 2022 before adjustments

Write the rational expression in lowest terms z 11Z 28 z 3z 28 z 11z 28 z 3z 28

Find the 10th term of the geometric sequence 9 18 36

Discuss the continuity of the function Include intervals where f x is continuous List the Discontinuities and identify each type f x 2 x 4 x2 16 2x 8x 2x if x 3 if 3 x 5 if x 5

Determine whether the identity is true or false 7 sin 0 8 cos2 0 7 cos2 0 O True O False If false find an appropriate true identity 7 sin 0 8 cos 0 8 cos 0 7 sin 0 8 cos2 0 8 sin 0 7 sin 0 8 cos 0 7 O 7 sin 0 8 cos 0 7 sin 2 0 O The identity is true

5 Factor m yx y 1 4x y 1 5 y 1 n 6p 3p o 4x4 2x

Write a cosine function that has a midline of 2 an amplitude of 5 and a period of

P conceived a girl test predicts a boy I Show your work redicts a girl Show your work Test Predicts a Girl Couple Has Concalved a Girl 0 48 0 52 0 75 Test Predicts a Boy 0 25 Couple Has Conceived a Boy Test Predict Girl 0 25 Test Predicts a Boy

An auto dealer s sales numbers are shown in the table below Find for each month the mean median and mode prices of the cars she sold Round your answers to the nearest dollar Number sold June 25 24 49 May mean median mode June mean median mode Price May 20 000 22 15 000 49 13 500 25 10380 21 15000 1500 15801 02 11 500 11 500 July meon 100 10 11 500 median mode 11 500 x x xxx x xxx July 24 24 49

6 i Each section of the spinner shown has the same area Find the probability of the event Express your answer as a simplified fraction 11 10 9 a 8 12 1 01 Previous 2 5 The probability of spinning yellow or a number less than 5 is 1 3 4 2 3 4 5 6 7 8 9 Dema Kajal 10 Next CE Support power CaleChat and

19 Write the equation of g x if it stretch vertically by ten reflect across y axis ther translates nine units right and twelve units down from f x 5 x 7 8

The Sweet Sugar Bakery in downtown Millersburg is known for it s decadent pastries and elaborate cakes

The distances that an object falls is directly proportional to the square of the time t of the fall If an object falls 16 feet in 1 second how far will it fall in 5 seconds How long will it take an object to fall 256 feet An object will fall in 5 seconds THE

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P If the volume of a gas is 500 cubic centimeters cc when the pressure is 200 millimeters of mercury mm Hg find the volume when the pressure is 400 mm Hg When the pressure is 400 mm Hg the volume is DEN

1 2 7270 3 1 y x y 9 8 7 654 Does the function above show exponential GROWTH or DECAY 7 6 SA

ketch an angle in standard position such that has the least positive measure and the given point is on the terminal side of 8 Then find the values of the six trigonometric functions for the angle Rationalize denominators when applicable 21 2 hoose the correct sketch of the angle below A 64 10 G B 6 A Q 5 O C DA OD 6

To prevent pests an orchard can have no more than 9 times as many apple trees as peach trees Also the number of apple trees plus 3 times the number of peach trees must not exceed 504 The revenue from a single appletree is 81 and the revenue from a single peach tree is 168 Determine the number of each type of tree that will maximize revenue What is the maximum revenue Let x represent the number of apple trees and y represent the number of peach trees Answer Enter the value in the first box and the ordered pair in the second box Maximum revenue of Maximum revenue at Keypad Keyboard Shortcuts

10 Which lines are parallel Which lines are perpendicular Explain 4 1 1 3 4 1 2 4 4 2 4 2 0 5 12 2 2 1 5

What is the domain of this exponential function 104 10 8 all real numbers x x 5 x x 5 x x 5 6 x x 5 4 2 8 6 4 2 0 2 4 6 8 10 2 4 6 8 10

May 25 10 02 11 PM Watch help video Elijah invested 280 in an account paying an interest rate of 2 1 compounded continuously Assuming no deposits or withdrawals are made how long would it take to the nearest tenth of a year for the value of the account to reach 360 E

Vertex 5 Axis of Symmetry Opens Up or Down Maximum Minimum

Complete the flow chart proot Ghen ACDS and ACDI are right triangles Prins ACDB ACDI P

10 8 6 4 Ay 10 B 6 6 10 X 6 8 10

Find the missing side 7 9 X 11 29 X 16 33 X 55

Translated left right Reflection If so which axis y intercept Graph 101 8 Domain 6 Translated up down Dilation If so is it vertical stretch or shrink x intercept S 2 10 E N 2 4 6 48 C Range Coordinate of center point Use a to find two guide points Extra guide points Sed 6 10 2 4 B Ico

Two students were asked to setup equations to solve for x in the following diagram and their responses were recorded below 35 55 14 Student A setup the following equation Sin 35 14 Student B setup the following equation COS 55

N Sketch an angle 0 in standard position such that 0 has the least possible positive measure and the point 3 3 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator OA Q OB AV Q OC C OD

Consider the graph and identify the Amplitude and Period Choose the correct answer to fill in the blanks below 10 ww M 10 5 5 5 The Amplitude of the graph above is Select h The Period of the graph

nX 01 05 10 15 20 25 2 0 980 902 810 723 640 563 490 423 320 375 420 455 123 020 095 180 255 1 2 000 002 010 023 040 063 090 1 2 below to find the value See Example 2 3 4 141 000 000 001 003 008 016 041 026 015 008 004 154 112 076 047 346 311 265 211 30 970 857 729 614 512 422 343 275 216 166 125 091 1 029 135 243 325 384 422 441 444 432 408 375 334 2 000 007 027 057 096 189 239 288 334 375 408 3 027 043 064 091 125 166 40 961 815 656 522 410 316 240 179 130 092 062 039 171 292 368 410 422 412 384 346 300 250 200 001 014 049 098 154 211 265 311 346 368 375 368 000 004 011 026 047 076 112 154 200 250 300 000 000 001 002 004 008 015 026 041 062 092 951 774 590 444 328 237 168 116 078 050 031 019 010 005 002 001 1 048 204 328 392 410 396 360 312 259 206 156 113 077 049 028 015 2 001 021 073 138 205 264 309 336 346 337 312 276 230 3 000 001 008 024 051 088 132 181 230 276 312 337 346 4 000 000 000 002 006 015 028 049 077 113 156 5 000 000 000 000 000 001 002 005 031 050 078 116 168 237 000 000 50 181 132 088 336 309 264 206 259 312 360 396 010 019 P 30 35 40 1 P 0 P 1 for n 55 45 50 60 65 70 360 303 250 203 160 123 090 480 495 500 160 203 250 3 and p 0 55 75 063 495 480 455 420 375 303 360 423 490 563 064 043 027 016 288 239 189 141 441 422 432 444 216 275 343 422 346 384 412 422 130 179 240 316

sequence Solve for n 9565938 a 2 r A 11 C 15 B 13 D 21

and the number of rotation symmetries with angle measures for each figure s rotations Draw the lines of symmetry on the figures a Lines of symmetry Rot symmetry Angles

piete Tigur symmetric about both the vertical and horizontal axes re symmetric about both the vertical and horizontal axes b

symmetric about both the vertical and horizontal axes 4 Complete the figures below so that they ar a

Name T8A Check for Understanding 1 3 Determine if each scenario is an observational study survey or experiment Explain 1 Does reducing screen brightness increase battery life in laptop computers To find out researchers obtained 30 new laptops of the same brand They chose 15 of the computers at random and adjusted their screens to the brightest setting The other 15 laptop scree were left at the default setting moderate brightness Researchers then measured how long each machine s battery lasted experimental

Given the graph of y f x which is the graph of y f x A B OD 6 64 9 A 5 3 A 3 8 Z A

Determine if the graph in the figure represents y as a function of x Explain your reasoning 5 3 2 0 1 2 3 4 5 6 7 8 X Select the correct choice below and if necessary fill in the answer box to complete your choice OA Yes each input is assigned exactly one output OB No one value of x gives two values of y K

Devise the exponential growth function that fits the given data then answer the accompanying question Be sure to identify the reference point t 0 and units of time The current population of a town is 65 000 and is growing exponentially If the population is projected to be 75 000 in 10 years then what will be the population 20 years from now What is the reference point t 0 the initial population 65 000 the population in 10 years 75 000 the current year What are the units of time percent decades years people Write the exponential growth function y t Type an expression Round coefficients to three decimal places as needed What is the population 20 years from now Round to the nearest whole number as needed Coors

For each of the functions y f x described below find f 0 a X 1 f x 5 b y 8 3x c 0 3 B 2 10 B B bll 1 2 3 2 3 6 Q GECES a f 0

A couple wants to buy a 30 000 car and can borrow the money for the purchase at 5 paying it off in 3 4 or 5 years The table to the right gives the monthly payment and total cost of the purchase including the loan for each of the payment plans Suppose that when the payment is over t years P t represents the monthly payment and C t represents the total cost for the car loan Use this information to answer parts a through d A If the car is financed over 4 years the payment is P 4 690 88 B If the car is financed over 4 years the total cost is P 4 CLIO a Find P 4 and write a sentence that explains its meaning Select the correct choice below and fill in the answer box to complete your choice b What is the total cost of the purchase if it is financed over 5 years Write the answer using function notatio box to complete your choice OA C 5 OB P 5 t Monthly years Payment 3 899 13 4 690 88 5 566 14 Total Cost 32 368 68 33 162 24 33 968 40 Select the correct choice below and fill in the answer

Given two terms in an arithmetic sequence find the term named in the problem the explicit formula and the recursive formula a 101 and a 220 19 36 Find a 29

What is the best estimate of the correlation coefficient for the data set A 0 9 B 0 5 plot shown to answer the question OC 0 5 D 0 9

Use the graph of y f x to answer the following question What is the y intercept off The y intercept is 10 3 11 4 0 16 Tw 3 2 8 0 1 0 3 1 40 1

4 Which of the following binomials is a factor of the quadratic 4x 35x 24 Try to do this without factoring but by using the Remainder Theorem 1 x 6 3 x 8 2 x 4 4 x 2

t On January 1 2017 the minimum wage for employers with 26 employees or more was 10 50 hour On January 1 2022 the minimum wage for employers with 26 employees or more was 15 00 hour t Let W be the minimum wage and t be the year measured in years since 2017 Use this information to answer the questions below 1 Which variable W or t is the dependent variable 1 pt 2 Which variable W or t is the independent variable 1 pt Let s assume the minimum wage data for California can be approximated by a linear model 3 What is the slope of the line that passes through the two data points given above Show your work 2 pts

20 15 10 5 5 10 15 2 4 a 8 10 20 Which of the following is the equation of the graph shown Oy x 10x 9 Oy x 10x 9 Oy x 10x 9 Oy x 10x 9 Oy x 10x 9 Oy x 10x 9

26 In parallelogram BCD shown below the bisectors of ZABC and LDCB meet at E a point on AD If mA 68 determine and state mzBEC B A D C

9 Use the compound interest formula to calculate the final amount of each investment or loan 1 a 10 000 invested at 6 annual interest compounded semi annually for 5 years b 5000 invested at 3 6 interest per yea compounded monthly for 7 years c a 4500 balance on a credit card at 18 9 annual interest compounded daily from the November 22nd due dat to the arrival of the payme on December 13th

ose that the cost C in dollars of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by 7500p 100 p a Find the domain of this function Enter your answer using interval notation C p b Find the functional value Round your answer to the nearest cent C 44 X See the rounding prompt for how many decimal places are needed Explain what it means C 44 is the cost c Find the functional value C 90 Explain what it means C 90 is the cost d Find the functional value C 99 Explain what it means C 99 is the cost e Find the functional value C 99 5 Explain what it means Need Help C 99 5 is the cost Road t Which I O of removing O of removing 0 of removing of removing Select of the particulate pollution from the smokestacks of the industrial plant Select of the particulate pollution from the smokestacks of the industrial plant Select of the particulate pollution from the smokestacks of the industrial plant Select of the particulate pollution from the smokestacks of the industrial plant

f x 4 25 x 6 4 2 y 2r 2 4 6 8 10 E 2 4 6 X 5