Sequences & Series Questions and Answers

Using data from 2014 and projected to 2019 the percentage of people in the world who are Internet users can be described by p 2 14x 32 2 where x is the number of years after 2010 a Find the slope m and the p intercept of the graph of this linear function slope p intercept b Interpret the meaning of the slope as a rate of change The world population with Internet service does not change each year O The world population with Internet service is increasing by an additional m percentage points each year The world population with Internet service is increasing by multiplying m percent each year The world population with Internet service is decreasing by multiplying 1 m percent each year The world population with Internet service is decreasing by m percentage points each year c Write a sentence that interprets the meaning of the p intercept The p intercept shows the percentage of people in the world who were Internet users in 2014 O The p intercept shows the percentage of people in the world who were Internet users in 2010 O The p intercept shows the percentage of people in the world who will be using the Internet after 2019 The p intercept gives a prediction the of the percent rise in users during the first five years The p intercept shows the percentage of people in the world who were Internet users in 1990

where x is the number of years after 1990 a Find the slope m and the p intercept of the graph of this equation slope p intercept b Write a sentence that interprets the meaning of the slope as a rate of change O The U S population with Internet service is increasing by an additional m percentage points each year The U S population with Internet service does not change each year c Graph the function with x representing the years from 1990 and p representing the percent from 50 P 100r 90 2000 and projected to 2025 the percent p of the U S population that uses the Internet can be described by p 1 19x 58 0 P 100r 80 70 The U S population with Internet service is decreasing by multiplying 1 m percent each year The U S population with Internet service is decreasing by m percentage points each year The U S population with Internet service is increasing by multiplying m percent each year 60 0 10 20 30 40 X DO 90 80 70 60 0 10 20 30 40 MY NOTES

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

f z 2z 11 Find 5

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

10 5 AY 10 5 5 5 10 X