43,49 please help 32. What rate of interest compounded annually is required to22. To get $800 after 2, years at 8% compounded continuouslywill he have enough money to buy a computer system that48. Return on an Investment A business purchased for $650,000matures in 3 months. Then Kim places the $1000 and thecosts $1060? If another bank will pay Jim 5.9% compoundedinterest in a passbook account that pays 5.25% compoundedthat pays 5.6% compounded continuously. After 1 year,monthly. How much does Kim have in the passbook accountof deposit that pays 6.8% compounded continuously and49. Comparing Savings Plans Jim places $1000 in a bank account50. Savings Plans On January 1, Kim places $1000 in a certificate5years at 7% compounded monthly30. 8% compounded semiannually or 7.9% compounded daily28. 9% compounded quarterly or 9-% compounded annually51.332 CHAPTER 5 Exponential and Logarithmic Functions20. To get $300 after 4 years at 3% compounded dailynoitu,115. To get $100 after 2 years at 6% compounded monthlyTo get $800 after 317. To get $1500 after 2 years at 1.5% compounded daily19. To get $750 after 2 years at 2.5% compounded quarterly21. To get $120 after 3- years at 5% compounded continuouslyIn Problems 23-26, find the effective rate of interest.\ 23. For 5% compounded quarterly25. For 4% compounded continuously24. For 6% compounded monthly26. For 6% compounded continuously53In Problems 27-30, determine the rate that represents the better deal.4.27. 6% compounded quarterly or 6-% compounded annually29. 9% compounded monthly or 8.8% compounded daily\ 31. What rate of interest compounded annually is required todouble an investment in 3 years?double an investment in 6 years?34. What rate of interest compounded annually is requiredtriple an investment in 10 years?36. (a) How long does it take for an investment to triple in valuif it is invested at 6% compounded monthly?(b) How long does it take if the interest is compoundedcontinuously?38. What rate of interest compounded continuously will yield an33. What rate of interest compounded annually is required totriple an investment in 5 years?35. (a) How long does it take for an investment to double invalue if it is invested at 8% compounded monthly?(b) How long does it take if the interest is compoundedcontinuously?37. What rate of interest compounded quarterly will yield aneffective interest rate of 7%?effective interest rate of 6%?(h) Here userib22922AApplications and Extensions39. Time Required to Reach a Goal If Tanisha has $100 to investat 4% per annum compounded monthly, how long will it bebefore she has $150? If the compounding is continuous, howlong will it be?40. Time Required to Reach a Goal If Angela has $100 to investat 2.5% per annum compounded monthly, how long will it bebefore she has $175? If the compounding is continuous, howlong will it be?41. Time Required to Reach a Goal How many years will ittake for an initial investment of $10,000 to grow to $25,000?Assume a rate of interest of 6% compounded continuously.42. Time Required to Reach a Goal How many years will ittake for an initial investment of $25,000 to grow to $80,000?Assume a rate of interest of 7% compounded continuously.43. Price Appreciation of Homes What will a $90,000 condominiumcost 5 years from now if the price appreciation for condos overthat period averages 3% compounded annually?44. Credit Card Interest A department store charges 1.25%per month on the unpaid balance for customers with chargeaccounts (interest is compounded monthly). A customercharges $200 and does not pay her bill for 6 months. What is46. Paying off a Loan John requires $3000 in 6 months to payoff a loan that has no prepayment privileges. If he hasthe $3000 now, how nuch of it should he save in an accountpaying 3% compounded monthly so that in 6 months he willhave exactly $3000?47. Return on a Stock George contemplates the purchaseof 100 shares of a stock selling for $15 per share. Thestock pays no dividends. The history of the stock indicalesthat it should grow at an annual rate of 15% per yeal.How much should the 100 shares of stock be woruin 5 years?in 2010 is sold in 2013 for $850.000, What is the annual toof return for this investment?monthly, is this a better deal?the bill at that time?45. Saving for a Car Jerome will be buying a used car for $15.000in 3 years. How much money should he ask his parents fornow so that, if he invests it at 5% compounded continuously.he will have enough to buy the car?on May 1?in badeos bub

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Price Appreciation of Homes What will a $90,000 condominium cost 5 years from now if the price appreciation for condos over that period averages 3% compounded annually? Credit Card Interest

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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43,49 please help

32. What rate of interest compounded annually is required to
22. To get $800 after 2, years at 8% compounded continuously
will he have enough money to buy a computer system that
48. Return on an Investment A business purchased for $650,000
matures in 3 months. Then Kim places the $1000 and the
costs $1060? If another bank will pay Jim 5.9% compounded
interest in a passbook account that pays 5.25% compounded
that pays 5.6% compounded continuously. After 1 year,
monthly. How much does Kim have in the passbook account
of deposit that pays 6.8% compounded continuously and
49. Comparing Savings Plans Jim places $1000 in a bank account
50. Savings Plans On January 1, Kim places $1000 in a certificate
5years at 7% compounded monthly
30. 8% compounded semiannually or 7.9% compounded daily
28. 9% compounded quarterly or 9-% compounded annually
51.
332 CHAPTER 5 Exponential and Logarithmic Functions
20. To get $300 after 4 years at 3% compounded daily
noitu
,1
15. To get $100 after 2 years at 6% compounded monthly
To get $800 after 3
17. To get $1500 after 2 years at 1.5% compounded daily
19. To get $750 after 2 years at 2.5% compounded quarterly
21. To get $120 after 3- years at 5% compounded continuously
In Problems 23-26, find the effective rate of interest.
\ 23. For 5% compounded quarterly
25. For 4% compounded continuously
24. For 6% compounded monthly
26. For 6% compounded continuously
53
In Problems 27-30, determine the rate that represents the better deal.
4.
27. 6% compounded quarterly or 6-% compounded annually
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?
double an investment in 6 years?
34. What rate of interest compounded annually is required
triple an investment in 10 years?
36. (a) How long does it take for an investment to triple in valu
if it is invested at 6% compounded monthly?
(b) How long does it take if the interest is compounded
continuously?
38. What rate of interest compounded continuously will yield an
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?
37. What rate of interest compounded quarterly will yield an
effective interest rate of 7%?
effective interest rate of 6%?
(h) Here use
rib
22922A
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
long will it be?
40. Time Required to Reach a Goal If Angela has $100 to invest
at 2.5% per annum compounded monthly, how long will it be
before she has $175? If the compounding is continuous, how
long will it be?
41. Time Required to Reach a Goal How many years will it
take for an initial investment of $10,000 to grow to $25,000?
Assume a rate of interest of 6% compounded continuously.
42. Time Required to Reach a Goal How many years will it
take for an initial investment of $25,000 to grow to $80,000?
Assume a rate of interest of 7% compounded continuously.
43. Price Appreciation of Homes What will a $90,000 condominium
cost 5 years from now if the price appreciation for condos over
that period averages 3% compounded annually?
44. Credit Card Interest A department store charges 1.25%
per month on the unpaid balance for customers with charge
accounts (interest is compounded monthly). A customer
charges $200 and does not pay her bill for 6 months. What is
46. Paying off a Loan John requires $3000 in 6 months to pay
off a loan that has no prepayment privileges. If he has
the $3000 now, how nuch of it should he save in an account
paying 3% compounded monthly so that in 6 months he will
have exactly $3000?
47. Return on a Stock George contemplates the purchase
of 100 shares of a stock selling for $15 per share. The
stock pays no dividends. The history of the stock indicales
that it should grow at an annual rate of 15% per yeal.
How much should the 100 shares of stock be woru
in 5 years?
in 2010 is sold in 2013 for $850.000, What is the annual to
of return for this investment?
monthly, is this a better deal?
the bill at that time?
45. Saving for a Car Jerome will be buying a used car for $15.000
in 3 years. How much money should he ask his parents for
now so that, if he invests it at 5% compounded continuously.
he will have enough to buy the car?
on May 1?
in ba
deos bub

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