"A HW#17 Ch4.2 Logarithmic functic x X Mathway | Algebra Problem Solv X G In(e) - Google Search X C Evaluate the expression.In(In ee^ X X > C A webassign.net/web/Student/Assignment-Responses/submit?dep=29238594&tags=autosave#question4762465_2 To OK Exercise (e) In(In(ee)) Step 1 The logarithm allows us to pull powers down, and In(e) = 1. Together, these give the following. In(In(ee)) = In x In(e) X = In + In(1) X Submit Skip (you cannot come back) Exercise (f) 16 C X 2:31 AM Clear 7/27/2022"A HW#17 Ch4.2 Logarithmic functic x Mathway | Algebra Problem Solv X G In(e) - Google Search X C Evaluate the expression.In(In ee^ X X C webassign.net/web/Student/Assignment-Responses/submit?dep=29238594&tags=autosave#question4762465_2 To Step 1 Because ed and In(x) are inverse functions, In(e ) = x for any number x. Plugging 3 into the equation, we have the following. In(e3) = 3 $ 3 Exercise (b) In(ve) Step 1 From the properties of logarithms in the text, for any numbers x and n, In(x7) = 1 In ( x ) . X Submit Skip (you cannot come back) Exercise (c) In (Ves) 16 C 2:32 AM Clear 7/27/2022"A HW#17 Ch4.2 Logarithmic functic x Mathway | Algebra Problem Solv X GIn(e) - Google Search X C Evaluate the expression.In(In ee^ X X C webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238594&tags=autosave#question4762424_5 To 6. [-/20 Points] DETAILS BERRAPCALCBR7 4.2.017.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. An investment grows at 24% compounded monthly. How many years will it take to do the following? Exercise (a) quadruple Step 1 From the text, we have that the amount A in an account with periodically compounded interest is given by A = P(1 + _ ) mt From the question, we have that the interest is compounded monthly, and thus m = We want the amount in the account to be quadruple the principal, so A = X P. mt Substituting into A = P( 1 + - , we have the following. 0.24 A = P 1 + Submit Skip (you cannot come back) Exercise (b) 3 increase by 75% 16 C 2:32 AM X Clear 7/27/2022"A HW#17 Ch4.2 Logarithmic functic x D Mathway | Algebra Problem Solv X G In(e) - Google Search X C Evaluate the expression.In(In ee^ X X C webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238594&tags=autosave#question4762604_6 To OK 7. [-/10 Points] DETAILS BERRAPCALCBR7 4.2.021.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise An automobile depreciates by 35% per year. How soon will it be worth only half its original value? [Hint: Depreciation is like interest but at a negative rate r.] Step 1 Generally, we call the initial value P. We need the depreciation as a decimal rather than a percentage in order to put it into the formula, so we convert 50% of P = 0.5 . P. Now, since annual depreciation is simply annually compounded interest with a negative rate, we use the formula A = P(1 + r) with r = Submit Skip (you cannot come back) Show My Work (Optional) 8. [0/8 Points] DETAILS PREVIOUS ANSWERS BERRAPCALCBR7 4.2.037. MY NOTES ASK YOUR TEACHER 3 According to a study, each additional year of education increases one's income by 16%. Therefore, with x extra years of education, your income will be multiplied by a factor of 1.16%. 16 C O 9 2:33 AM X Clear 7/27/2022"A HW#17 Ch4.2 Logarithmic functic x DX Mathway | Algebra Problem Solv X G In(e) - Google Search X C Evaluate the expression.In(In ee^ X X C webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238594&tags=autosave#question4762604_6 To * 8. [0/8 Points] DETAILS PREVIOUS ANSWERS BERRAPCALCBR7 4.2.037. MY NOTES ASK YOUR TEACHER According to a study, each additional year of education increases one's income by 16%. Therefore, with x extra years of education, your income will be multiplied by a factor of 1.16*. How many additional years of education are required to double your income? That is, find the x that satisfies 1.16* = 2. (Round your answer to one decimal place.) yr Show My Work (Optional) Viewing Saved Work Revert to Last Response 9. [0/8 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may solve the following exercise using a graphing calculator. (Round your answers to one decimal place.) After a sale has been advertised for t days, the proportion (or percentage) of shoppers in a city who have seen the ad is 1 - e-0.07t. .(a.)..How.long.must the ad run to reach 40% of the shoppers? X days Enter a number. (b) How long must the ad run to reach 90% of the shoppers? days Show My Work (Optional) 16 C 2:33 AM Clear 7/27/2022