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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 11.2, Problem 24PS

Textbook Problem

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Complete the following chart, which illustrates what happens to $1000 invested at various rates of interest for different lengths of time but always compounded continuously. Round answer to the nearest dollar.

$1000 compounded continuously | ||||

8% | 10% | 12% | 14% | |

5 years 10 years 15 years 20 years 25 years |

To determine

**To find:**

The total amount of compounded continuously to the various rates of interest for different lengths of time.

**Given:**

**Calculation:**

**Step 1:**

Finding the amount of compounded continuously for 5 year at the rate of interest 8%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 2:**

Finding the amount of compounded continuously for 10 year at the rate of interest 8%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 3:**

Finding the amount of compounded continuously for 15 year at the rate of interest 8%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 4:**

Finding the amount of compounded continuously for 20 year at the rate of interest 8%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 5:**

Finding the amount of compounded continuously for 25 year at the rate of interest 8%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 6:**

Finding the amount of compounded continuously for 5 year at the rate of interest 10%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 7:**

Finding the amount of compounded continuously for 10 year at the rate of interest 10%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 8:**

Finding the amount of compounded continuously for 15 year at the rate of interest 10%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 9:**

Finding the amount of compounded continuously for 20 year at the rate of interest 10%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 10:**

Finding the amount of compounded continuously for 25 year at the rate of interest 10%:

Consider

Substitute,

Therefore, the total amount of money *A* is

**Step 11:**

Finding the amount of compounded continuously for 5 year at the rate of interest 12%:

Consider

Substitute,

Intermediate Algebra

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Objective...Ch. 11.1 - For problems 1-34, solve each equation. Objective...Ch. 11.1 - For problems 1-34, solve each equation. Objective...Ch. 11.1 - For problems 1-34, solve each equation. Objective...Ch. 11.1 - For problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. Objective...Ch. 11.1 - For Problems 1-34, solve each equation. 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The...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 1-10, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 21-40, evaluate each expression....Ch. 11.3 - For Problems 41-50, solve each equation. 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The...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 11-20, use your calculator to find x...Ch. 11.4 - For Problems 21-30, use your calculator to find...Ch. 11.4 - For Problems 21-30, use your calculator to find...Ch. 11.4 - For Problems 21-30, use your calculator to find...Ch. 11.4 - For Problems 21-30, use your calculator to find...Ch. 11.4 - For Problems 21-30, use your calculator to find...Ch. 11.4 - For problems 21-30, use your calculator to find...Ch. 11.4 - For problems 21-30, use your calculator to find...Ch. 11.4 - For problems 21-30, use your calculator to find...Ch. 11.4 - For problems 21-30, use your calculator to find...Ch. 11.4 - For problems 21-30, use your calculator to find...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For Problems 31-40, use your calculator to find x...Ch. 11.4 - For problems 41-46, follow the suggested procedure...Ch. 11.4 - For problems 41-46, follow the suggested procedure...Ch. 11.4 - For problems 41-46, follow the suggested procedure...Ch. 11.4 - For problems 41-46, follow the suggested procedure...Ch. 11.4 - For problems 41-46, follow the suggested procedure...Ch. 11.4 - For problems 41-46, follow the suggested procedure...Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - For Problems 54-61, perform the following...Ch. 11.4 - Why is the number 1 excluded from being a base of...Ch. 11.4 - How do we know that log26 is between 2 and 3?Ch. 11.4 - Graph f(x)=x,f(x)=ex and f(x)=lnx on the same set...Ch. 11.4 - Graph f(x)=x,f(x)=10x and f(x)=logx on the same...Ch. 11.4 - Graph f(x)=lnx. How should the graphs of...Ch. 11.4 - Graph f(x)=logx. Now predict the graphs of...Ch. 11.4 - Graph f(x)=lnx. Now predict the graphs for...Ch. 11.4 - For each of the following, a predict the general...Ch. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - For Problems 1-8, answer true or false. All...Ch. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - For Problems 1-8, answer true or false. If the...Ch. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - For Problems 1-8, answer true or false. The value...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 15-22, solve each logarithmic...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 23-32, approximate each of the...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - Solve each of Problems 42-46. Objective 4 The...Ch. 11.5 - Solve each of Problems 42-46. Objective 4 An...Ch. 11.5 - Solve each of Problems 42-46. Objective 4 An...Ch. 11.5 - Solve each of Problems 42-46. Objective 4...Ch. 11.5 - Solve each of Problems 42-46. Objective 4...Ch. 11.5 - Explain how to determine log4 76 without using...Ch. 11.5 - Explain the concept of a Richter number.Ch. 11.5 - Explain how you would solve the equation 2x=64 and...Ch. 11.5 - How do logarithms with a base of 9 compare to...Ch. 11.5 - Graph f(x)=x,f(x)=2x,andf(x)=log2x on the same set...Ch. 11.5 - Graph f(x)=x,f(x)=(0.5)x,andf(x)=log0.5x on the...Ch. 11.5 - Graph f(x)=log2x. Now predict the graphs for...Ch. 11.5 - Graph f(x)=log5x. Now predict the graphs for...Ch. 11.S - Sample Problem Graph f(x)=(12)xCh. 11.S - Sample Problem Solve 32x=27.Ch. 11.S - Sample Problem a Write 23=8 in logarithmic form. b...Ch. 11.S - Sample Problem Evaluate log1381.Ch. 11.S - Sample Problem Find log140. Express the answer to...Ch. 11.S - Sample Problem Find ln236. Express the answer to...Ch. 11.S - Sample Problem Find log5171. Round the answer to...Ch. 11.S - Sample Problem Graph f(x)=log2x.Ch. 11.S - Sample Problem Express logbx3yz as indicated sums...Ch. 11.S - Sample Problem Solve log2(x1)+log2(x+1)=3.Ch. 11.S - Sample Problem Solve ln(x+4)ln(x+2)=ln3.Ch. 11.S - Sample Problem Solve 32x1=34. Express the solution...Ch. 11.S - Sample Problem A town has an initial population of...Ch. 11.S - Sample Problem Find the total amount of money...Ch. 11.S - Sample Problem If 2000 is invested at 3 interest...Ch. 11.S - Sample Problem 16 Molybdenum-99 has a half-life of...Ch. 11.S - Sample Problem The number of bacteria present in a...Ch. 11.S - Sample Problem An earthquake in southeastern...Ch. 11.CR - For problems 1 and 2, graph each of the functions....Ch. 11.CR - For problems 1 and 2, graph each of the functions....Ch. 11.CR - For problems 3-6, solve each equation without...Ch. 11.CR - For problems 3-6, solve each equation without...Ch. 11.CR - For problems 3-6, solve each equation without...Ch. 11.CR - For problems 3-6, solve each equation without...Ch. 11.CR - For problems 7-10, write each of the following in...Ch. 11.CR - For problems 7-10, write each of the following in...Ch. 11.CR - For problems 7-10, write each of the following in...Ch. 11.CR - For problems 7-10, write each of the following in...Ch. 11.CR - For problems 11-14, write each of the following in...Ch. 11.CR - For problems 11-14, write each of the following in...Ch. 11.CR - For problems 11-14, write each of the following in...Ch. 11.CR - For problems 11-14, write each of the following in...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 15-22, evaluate each expression...Ch. 11.CR - For problems 23-26, use your calculator to find...Ch. 11.CR - For problems 23-26, use your calculator to find...Ch. 11.CR - For problems 23-26, use your calculator to find...Ch. 11.CR - For problems 23-26, use your calculator to find...Ch. 11.CR - For problems 27-30, approximate a value for each...Ch. 11.CR - For problems 27-30, approximate a value for each...Ch. 11.CR - For problems 27-30, approximate a value for each...Ch. 11.CR - For problems 27-30, approximate a value for each...Ch. 11.CR - For problems 31 and 32, graph each of the...Ch. 11.CR - For problems 31 and 32, graph each of the...Ch. 11.CR - Express logbxyz3 as the sum or difference of...Ch. 11.CR - Express logbbcd as the sum or difference of...Ch. 11.CR - For problems 35-38, use your calculator to find x...Ch. 11.CR - For problems 35-38, use your calculator to find x...Ch. 11.CR - For problems 35-38, use your calculator to find x...Ch. 11.CR - For problems 35-38, use your calculator to find x...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 39-46, solve each equation without...Ch. 11.CR - For Problems 47-50, use your calculator to help...Ch. 11.CR - For Problems 47-50, use your calculator to help...Ch. 11.CR - For Problems 47-50, use your calculator to help...Ch. 11.CR - For Problems 47-50, use your calculator to help...Ch. 11.CR - Assuming the rate of inflation is 3 per year, the...Ch. 11.CR - Suppose it is estimated that the value of a car...Ch. 11.CR - Suppose that 8000 is invested at 6 interest...Ch. 11.CR - If 25, 000 is invested at 4 interest compounded...Ch. 11.CR - How long will it take 1000 to double itself if it...Ch. 11.CR - How long will it take 1000 to be worth 3500 if it...Ch. 11.CR - If 3500 is invested at 8 interest compounded...Ch. 11.CR - How long will it take 5000 to be worth 20, 000 if...Ch. 11.CR - Suppose that a certain radioactive substance has a...Ch. 11.CR - Suppose that a certain radioactive substance has a...Ch. 11.CR - Suppose that the present population of a city is...Ch. 11.CR - The number of bacteria present in a certain...Ch. 11.CR - An earthquake in Mexico in 1985 had and intensity...Ch. 11.CR - Calculate how many times more intense an...Ch. 11.CT - For Problems 1-4, evaluate each expression. log33Ch. 11.CT - For Problems 1-4, evaluate each expression....Ch. 11.CT - For Problems 1-4, evaluate each expression....Ch. 11.CT - For Problems 1-4, evaluate each expression....Ch. 11.CT - For Problems 5-10, solve each equation. 4x=164Ch. 11.CT - For Problems 5-10, solve each equation. 9x=127Ch. 11.CT - For Problems 5-10, solve each equation. 23x-1=128Ch. 11.CT - For Problems 5-10, solve each equation. log9x=52Ch. 11.CT - For Problems 5-10, solve each equation....Ch. 11.CT - For Problems 5-10, solve each equation....Ch. 11.CT - For Problems 11-14, given that log34=1.2619 and...Ch. 11.CT - For Problems 11-14, given that log34=1.2619 and...Ch. 11.CT - For Problems 11-14, given that log34=1.2619 and...Ch. 11.CT - For Problems 11-14, given that log34=1.2619 and...Ch. 11.CT - Solve ex=176 to the nearest hundredth.Ch. 11.CT - Solve 2x-2=314 to the nearest hundredth.Ch. 11.CT - Determine log5632 to four decimal places.Ch. 11.CT - Express 3logbx+2logby-logbz as a single logarithm...Ch. 11.CT - If 3500 is invested at 7.5 interest compounded...Ch. 11.CT - How long will it take 5000 to be worth 12, 500 if...Ch. 11.CT - The number of bacteria present in a certain...Ch. 11.CT - Suppose that a certain radioactive substance has a...Ch. 11.CT - For Problems 23-25, graph each of the functions....Ch. 11.CT - For Problems 23-25, graph each of the functions....Ch. 11.CT - For Problems 23-25, graph each of the functions....

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