section 4.5: exponential and logarithmic equations 110 pages/lectures fall... · section 4.5...

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Section 4.5: Exponential and Logarithmic EquationsMonday, March 03, 20142:44 PM

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annuallya)dailyb)hourlyc)continuouslyd)

Ex. If $12,500 is invested at an annual interest rate of 8% for 10 years, find the balance if the interest is compounded.

n (1+1/n)^n

1 2

10 2.593742

100 2.704814

1000 2.716924

10000 2.718146

100000 2.718268

1000000 2.71828

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Ex. How long will it take $25,000 to double if it is invested in a savings account that pays 5.88% annual interest compounded continuously? Round to the nearest tenth of a year.

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Ex. A city had a population 53,700 in 2002 and population 58,100 in 2006.

Find the exponential growth function for the city using year 2002 as year t = 0.a)Use the growth function to predict the population of the city in 2014. Round to the nearest hundred.

b)

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Ex. Estimate the age of a bone if it now contains 65% of its original amount of carbon-14. Round to the nearest 100 years.

Aufmann, College Algebra, 8ehttp://www.webassign.net/ebooks/aufcolalg8/shell.html?s=ec03af57cb303b0345d8cacec0d8fca1&c=249283&f=4721409&type=youbook&id=462Screen clipping taken: 3/5/2014 4:52 PM

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Aufmann, College Algebra, 8ehttp://www.webassign.net/ebooks/aufcolalg8/shell.html?s=ec03af57cb303b0345d8cacec0d8fca1&c=249283&f=4721409&type=youbook&id=462Screen clipping taken: 3/5/2014 5:23 PM

Aufmann, College Algebra, 8ehttp://www.webassign.net/ebooks/aufcolalg8/shell.html?s=ec03af57cb303b0345d8cacec0d8fca1&c=249283&f=4721409&type=youbook&id=462Screen clipping taken: 3/5/2014 5:26 PM

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