Logarithms Questions and Answers

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The amount of a radio active substance decreases by 20 every year Right now the amount of the substance is 750 grams How long will is take for the substance to decay to 100 grams O 20 years O 5 years 10 years

Rewrite the following in an equivalent form 1 log12 144 2 Answer type your answer 2 log4 1024 5 Answer type your answer 3 logg 4096 4 Answer type your answer

Expand log 105 Remember to write logarithms in the form log b y type your answer

Expand In Remember to write logarithms in the form log b y 3y type your answer

Evaluate the following 1 log 2 12 type your answer 2 log4 16 type your answer 3 log 2401 type your answer

Condense 6 In x 4 In y Remember to write logarithms in the form log b y type your answer LINGE

Expand log3 4x Remember to write logarithms in the form log b y

Condense log4 7 log4 10 Remember to write logarithms in the form log b y type your answer

Find the inverse y 7 log x O 27 0 4 2 7 t

Find the inverse log 2 4 y O 2 4 O 24 0 21 O 00 B

A biologist has a 9656 kg sample of a radioactive substance Find the mass of the sample after 3 days if it decreases according to a continuous exponential decay model at a relative rate of 20 per day Do not round any intermediate computations and round your answer to the nearest tenth Mass after 3 days

Which choice is equivalent to log73m 2x A 282x 12m B 288x 48m 4 7 x 4 7 8x 3m C D 12m

Pay your taxes According to the Intern audit tax officials draw a simple random

A nationwide test taken by high school sophomores and juniors has three sections each scored on a scale of 20 to 80 In a recent year the national mean score for the writing section was 50 3 with a standard deviation of 9 1 Based on this information complete the following statements about the distribution of the scores on the writing section for the recent year a According to Chebyshev s theorem at least 56 of the scores lie between and Round your answer to 1 decimal place b According to Chebyshev s theorem at least Choose one of the scores lie between 32 1 and 68 5 X

Last month a coral reef grew Use the facts to find how muc

De Select one a O tan x More on Trigonometric Functions Question 9 tan x 2 can be expressed as 1 De O tan x 1 tan x O cos x O O sin x

Lesson 14 Solving Exponential Equations Cool Down Solve Some Equations 1 Solve each equation Show or explain your reason a 10 2 1 000 80 b 4 10 8

son 11 Evaluating Logarithmic Ex 1 Down Calculating Logs ess the solution to each equation as a logari culator 10 32

ba Highlight Paragraph In Cool Lesson 9 What is a Logarithm Cool Down Explaining Logarithm to a Fri 1 What values could replace the in these equa a log 010 b log 010 000

Intervals Question 10 6 1 4 From a random sample of 81 dates the mear Assume the population standard deviation is of 81 72 88 24 Does it seem possible that

8 Commercially available antiserum samples containing antibodies for antigens A B and D are used to determine the type of a particular patient s blood The antiserum is mixed with the sample of blood and if agglutination clumping occurs that means that the antigen with the same name as the antiserum is present on those RBCs Indicate the blood type both ABO and Rh of this individual What blood type s could safely receive blood from this individual What blood type s could this individual safely receive Note The control indicates the absence of aggultination or clumping Anti A Anti B antiserum antiserum Anti D antiserum Control

An investment services company experienced dramatic growth in the last two decades The following models for the company s revenue R and expenses or costs C both in millions of dollars an functions of the years past 1990 R t 21 4e0 131t and C t 18 6e0 131t a Use the models to predict the company s profit in 2029 Round your answer to one decimal place x million b How long before the profit found in part a is predicted to double Round your answer to the nearest whole number X years after 1990

Write the equation in logarithmic form 811 2 9 X Your answer cannot be understood or graded More Informat

Write the equation in logarithmic form and solve for x Round your answer to three decimal places e7x 5 0 37 X

Write the equation in logarithmic form 1 6 1 6

Approximate the logarithm using the properties of logarithms given logb 2 0 3562 logb 3 0 5646 and logb 5 0 8271 Round your answer to four decimal places I logb sqrt 2

hthly cost of a certain texting plan is given by the function y 0 08x 14 95 where y is in dollars and x is the number of texts sent in a month Find and interpret the slope and y intercept of the linear equ A m 14 95 The cost of the texting plan increases 14 95 for every text sent b 0 08 The cost of the texting plan is 0 08 if no texts are sent for the month OB m 0 08 The cost of the texting plan increases 0 08 for every text sent b 14 95 The cost of the texting plan is 14 95 if no texts are sent for the month O C m 14 95 The number of texts sent in a month increases 14 95 for every dollar spent b 0 08 The number of texts that can be sent when x 0 is 0 08 OD m 0 08 The number of texts sent in a month increases 0 08 for every dollar spent b 14 95 The number of texts that can be sent when x 0 is 14 95 Points 0 of 1 points

Logs No evidence provided 0 Complete the following table log 3 Logarithmic Equation I can demonstrate some understanding of logs 3 log 30 x 1 2 I can inconsistently translate logs 32 4 5 Exponential Equation 3 1 can consistently translate logs 2 4 6 I can apply what I know about solving logs Solve 7 Explain how you find your answer to number 6 by using the change of base formula

What is the magnitude and phase of the following complex numbers A Be Ae A Be Ae B Ae 1 ih B Ae B 1 ih B A Be Ae B Ae 1 1 ih B Ae B 1 1 ih A Be B Ae 1 1 ih 1 h B Ae B 1 1 ih 1 h

Transformations of Functions Que Which statement describes the y x to the graph of y x Select one O O Shift 5 units right and 1 unit d Shift 1 unit left and 5 units do Shift 5 units left and 1 unit do

Mar 15 12 43 20 PM This module is intended to help you understand fractional exponents Rewrite the expression below as 2 to a single power 2 10 2 0 26 4 224 2 5 2 Let x 2 x5 2 Solve for a positive value of x expressing your answer with a radical symbol x

Blue Note Mortgage Case Study The process of obtaining a mortgage for a house or condominium is more complex than most people think It starts with an application that contains all pertinent information about the borrower that the lender will need The bank or mortgage company then initiates a process that leads to a loan decision It is here that key information about the borrower is provided by third party providers This information includes a credit report verification of income verification of assets verification of employment and an appraisal of the property among others The result of the processing function is a complete loan file that contains all the information and documents needed to underwrite the loan which is the next step in the process Underwriting is where the loan application is evaluated for its risk Underwriters evaluate whether the borrower can make payments on time can afford to pay back the loan and has sufficient collateral in the property to back up the loan In the event the borrower defaults on the loan the lender can sell the property to recover the amount of the loan But if the amount of the loan is greater than the value of the property the lender cannot recoup their money If the underwriting process indicates that the borrower is creditworthy has the capacity to repay the loan and that the value of the property in question is greater than the loan amount then the loan is approved and will move to closing Closing is the step where the borrower signs all the appropriate papers agreeing to the terms of the loan Beverly Frydann the manager of a loan processing department needs to know how many employees will be needed over the next several months to process a certain number of loan files per month so she can better plan capacity Staffing changes are expensive and time consuming Thus it is quite important to understand staffing requirements well in advance In many cases the time to hire and train new employees can be 90 to 180 days so it is not always possible to react quickly to changes in staffing needs Hence advance planning is vital so that Beverly can make good decisions about overtime or reductions in work hours or adding or reducing temporary or permanent staff Suppose that there are different types of products that require processing A product could be a 30 year fixed rate mortgage 7 1 ARM FHA loan or a construction loan Each of these loan types vary in their complexity and require different levels of documentation and consequently have different times to complete Assume that the manager forecasts 750 loan applications in May 825 in June 900 in July and 775 in August Each employee works productively for 7 hours each day and there are 22 working days in May 20 in June 22 in July and 22 in August Beverly also knows based on historical loan data the percentage of each product type and how long it takes to process one loan of each type These data are presented in Exhibit 13 21 Exhibit 13 21 Loan Processing Data PRODUCTS PRODUCT MIX Product 1 Product 2 Product 3 Product 4 Product 5 Product 6 Product 7 Product 8 Product 9 Product 10 Total 22 17 13 12 10 9 7 5 3 2 100 HOURS PER FILE 3 60 2 00 1 70 5 50 4 00 3 00 2 00 2 00 1 50 4 00

Note The 4 P s of marketing is the historical view Product Price Promotion Place but many theorists have added a fifth P for people The textbook we have chosen uses the Five P s Short Answer Questions 1 Write two or three sentences to describe the product or service of Forever Capital Entertainment 2 Discuss two or more customer focused marketing strategies used by Rashid 3 Identify the elements of the marketing mix four or five P s as they relate to Forever Capital Entertainment

The probability of tossing a metal currency 3 times The three pictures that appear are a 1 12 b 1 8 c 1 6 d 1 4 e 1 2 7 41 AM

List two examples of commodity mone Edit View Insert Format Tool

Example of what your assignment can look like 2002 Honda Accord EX Coupe Sale Price Base Retail 24 201 Monthly Payment 519 73 Finance Rate 6 25 Bank of America Monthly Insurance Cost 94 25 State Farm Insurance Monthly Gas Cost 52 50 Based on 1 000 miles per month an Average of 24 miles per gallon

The projected year end assets in a collection of trust funds in trillions of dollars where t represents the number of years since 2000 can be approximated by the following function where Osts 50 A t 0 00003291 0 006101 0 0514t 1 89 a Where is A t increasing b Where is A t decreasing SCICO a Identify the open intervals for 0 st 50 where A t is increasing Select the correct choice below and if necessary fill in the answer box to complete your choice OA The function is increasing on the interval s Type your answer in interval notation Round to the nearest tenth as needed Use a comma to separate answers as needed OB There are no intervals where the function is increasing b Identify the open intervals for 0sts 50 where A t is decreasing Select the correct choice below and if necessary fill in the answer box to complete your choice OA The function is decreasing on the interval s Type your answer in interval notation Round to the nearest tenth as needed Use a comma to separate answers as needed

The demand function for a certain commodity is given by p 100e 9 2 p is the price per unit and q is the number of units a At what price per unit will the quantity demanded equal 4 units Round your answer to the nearest cent b If the price is 3 11 per unit how many units will be demanded to the nearest unit units

A bag contains 2 gold marbles 8 silver marbles and 27 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 4 If it is silver you win 2 If it is black you lose 1 What is your expected value if you play this game

Use the definition of a logarithmic function to rewrite the equation in exponential form 4 log 16

If we know that 1 3 3 F F x x i y y z 2 t 2 R r r Prove that R R

10 Which of the following statements about correlation is not true a A correlation coefficient of 0 87 between two quantitative variables indicates a stronger linear relationship thar a correlation coefficient of 0 71 b if the correlation between two quantitative variables is 0 then there is no relationship between the variables c A correlation of 0 77 between students scores on a reading test and the age when they first spoke means that as age of first spoken word increases test score decreases d Even if the correlation between two quantitative variables is 1 we cannot conclude that increases in one variable cause decreases in the other e Adding a single unusual point on a scatter plot can dramatically increase or decrease the correlation coefficient

b Which of the sets are equivalent O A C DE F O A CD E F O A C B D E F OAB CD E F OA C B D E F c Which of the given sets are equal OA C B D E F O A C D E F O A C D E F O A C D E F OC E F

Identify the digit that occupies the given place 4 67 Tenths place The digit in the tenths place of 4 67 is Type a whole number

a The time it takes to get a sunburn varies directly or inversely as the UV ultraviolet light index The time it takes to get a sunburn varies Choose one directly inversely as the UV index X

Exercise 4 7A Algo Determining the cost of inventory LO 4 2 4 3 4 4 For each of the following cases determine the ending balance in the inventory account Hint First determine the total cost of Inventory available for sale Next subtract the cost of the Inventory sold to arrive at the ending balance Required a Jill s Dress Shop had a beginning balance in Its Inventory account of 46 000 During the accounting period Jill s purchased 93 000 of Inventory returned 6 200 of Inventory and obtained 870 of purchases discounts Jill s Incurred 1 240 of transportation In cost and 720 of transportation out cost Salaries of sales personnel amounted to 37 000 Administrative expenses amounted to 41 600 Cost of goods sold amounted to 94 300 b Ken s Balt Shop had a beginning balance in Its Inventory account of 10 400 During the accounting period Ken s purchased 46 500 of Inventory obtained 1 440 of purchases allowances and received 480 of purchases discounts Sales discounts amounted to 760 Ken s Incurred 1 140 of transportation In cost and 380 of transportation out cost Selling and administrative cost amounted to 13 500 Cost of goods sold amounted to 36 300 Cost of goods available for sale Ending Inventory Jill s Dress Shop Ken s Bait Shop

Ron needs to cut out a felt shape for his art project The diagram below provides the dimensions of the shape 5 cm 25 cm 11 cm 19 cm 3 cm 17 cm How much felt is in the shape for the art project

st 2 estion 18 of 22 1 point Question Attempt 1 of 1 10 11 12 13 14 e zeros of the function and state the multiplicities x 4x x 1 x 2 e is more than one answer separate them with commas

2 COMPARING POPULATIONS Two data sets contain an equal number of values The double box and whisker plot represents the values in the data sets Data set A Data set B 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1 0 1 1 1 2 1 3 1 4 1 5 A Does the data display show overlap Explain B Which data has a greater measure of center C Which data has a greater measure of variation