31. What rate of interest compounded annually is required to double an investment in 3 years? How

Calculus: Early Transcendentals
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Author:James Stewart
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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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31
332 CHAPTER 5 Exponential and Logarithmic Functions
In Problems 15–22, find the principal needed now to get each amount; that is, jina the
15. To get $100 after 2 years at 6% compounded monthly
16. To get $7
1
18. To get $:
17. To get $1500 after 2 years at 1.5% compounded daily
20. To get $3
19. To get $750 after 2 years at 2.5% compounded quarterly
1
22. To get $
21. To get $120 after 3– years at 5% compounded continuously
4.
In Problems 23–26, find the effective rate of interest.
23. For 5% compounded quarterly
25. For 4% compounded continuously
24. For 6%
26. For 6%
In Problems 27–30, determine the rate that represents the better deal.
1
28. 9% com
27. 6% compounded quarterly or 6-% compounded annually
4
30. 8% com
29. 9% compounded monthly or 8.8% compounded daily
31. What rate of interest compounded annually is required to
double an investment in 3 years?
32. What ra
double
How much
33. What rate of interest compounded annually is required to
triple an investment in 5 years?
35. (a) How long does it take for an investment to double in
value if it is invested at 8% compounded monthly?
(b) How long does it take if the interest is compounded
continuously?
34. What ra
triple ar
36. (а) Но-
if it
(b) Но
con
37. What rate of interest compounded quarterly will yield an
effective interest rate of 7%?
38. What ra
effectiv
Applications and Extensions
39. Time Required to Reach a Goal If Tanisha has $100 to invest
at 4% per annum compounded monthly, how long will it be
before she has $150? If the compounding is continuous, how
46. Paying
off a lo
long will it be?
40. Time Required to Reach a Goal If Angela hoo f10
the $30
at 2.5%
Transcribed Image Text:332 CHAPTER 5 Exponential and Logarithmic Functions In Problems 15–22, find the principal needed now to get each amount; that is, jina the 15. To get $100 after 2 years at 6% compounded monthly 16. To get $7 1 18. To get $: 17. To get $1500 after 2 years at 1.5% compounded daily 20. To get $3 19. To get $750 after 2 years at 2.5% compounded quarterly 1 22. To get $ 21. To get $120 after 3– years at 5% compounded continuously 4. In Problems 23–26, find the effective rate of interest. 23. For 5% compounded quarterly 25. For 4% compounded continuously 24. For 6% 26. For 6% In Problems 27–30, determine the rate that represents the better deal. 1 28. 9% com 27. 6% compounded quarterly or 6-% compounded annually 4 30. 8% com 29. 9% compounded monthly or 8.8% compounded daily 31. What rate of interest compounded annually is required to double an investment in 3 years? 32. What ra double How much 33. What rate of interest compounded annually is required to triple an investment in 5 years? 35. (a) How long does it take for an investment to double in value if it is invested at 8% compounded monthly? (b) How long does it take if the interest is compounded continuously? 34. What ra triple ar 36. (а) Но- if it (b) Но con 37. What rate of interest compounded quarterly will yield an effective interest rate of 7%? 38. What ra effectiv Applications and Extensions 39. Time Required to Reach a Goal If Tanisha has $100 to invest at 4% per annum compounded monthly, how long will it be before she has $150? If the compounding is continuous, how 46. Paying off a lo long will it be? 40. Time Required to Reach a Goal If Angela hoo f10 the $30 at 2.5%
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