question number 36

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help on question number 36
that 99.95% of the carbon 14 has decayed, how old, to the
33. Investments How long will it take a $500 investment to be
40. Carbon Dating Refer to Exercise 39 How old, to the
Applications
worth $700 if it is continuously compounded at 10%
year? (Give the answer to two decimal places.)
[HINT: See Example 2.]
per
34. Investments How long will it take a $500 investment to he
worth $700 if it is continuously compounded at 15%
year? (Give the answer to two decimal places.)
[HINT: See Example 2.]
per
35. Investments How long, to the nearest year, will it take an
investment to triple if it is continuously compounded at
10% per year?
36. Investments How long, to the nearest year, will it take me
to become a millionaire if I invest $1,000 at 10% interest
compounded continuously?
37. Investments I would like my investment to double in value
every 3 years. At what rate of interest would I need to invest
it, assuming that the interest is compounded continuously?
[HINT: See Quick Examples 11–18.]
38. Depreciation My investment in OHaganBooks.com stocks
is losing half its value every 2 years. Find and interpret the
associated decay rate. [HINT: See Quick Examples 11-18.J
39. Carbon Dating The amount of carbon 14 remaining in 4
sample that originally contained A grams is given by
C(t) = A(0.999879)'
where t is time in years. If tests on a fossilized skull revear
nearest 1,000 years, is the skull?
Transcribed Image Text:that 99.95% of the carbon 14 has decayed, how old, to the 33. Investments How long will it take a $500 investment to be 40. Carbon Dating Refer to Exercise 39 How old, to the Applications worth $700 if it is continuously compounded at 10% year? (Give the answer to two decimal places.) [HINT: See Example 2.] per 34. Investments How long will it take a $500 investment to he worth $700 if it is continuously compounded at 15% year? (Give the answer to two decimal places.) [HINT: See Example 2.] per 35. Investments How long, to the nearest year, will it take an investment to triple if it is continuously compounded at 10% per year? 36. Investments How long, to the nearest year, will it take me to become a millionaire if I invest $1,000 at 10% interest compounded continuously? 37. Investments I would like my investment to double in value every 3 years. At what rate of interest would I need to invest it, assuming that the interest is compounded continuously? [HINT: See Quick Examples 11–18.] 38. Depreciation My investment in OHaganBooks.com stocks is losing half its value every 2 years. Find and interpret the associated decay rate. [HINT: See Quick Examples 11-18.J 39. Carbon Dating The amount of carbon 14 remaining in 4 sample that originally contained A grams is given by C(t) = A(0.999879)' where t is time in years. If tests on a fossilized skull revear nearest 1,000 years, is the skull?
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