How many years are required for an investment to double in value if it is appreciating at the rate of 15% compounded continuously? At 15% compounded continuously, the investment doubles in ____ years.

How many years are required for an investment to double in value if it is appreciating at the rate of 15% compounded continuously? At 15% compounded continuously, the investment doubles in ____ years.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 8E

See similar textbooks

Related questions

Q: A scientist has discovered a new strain of bacteria. The bacteria culture initially contained 1,000…

A: Given problem:- A scientist has discovered a new strain of bacteria. The bacteria culture initially…

Q: Moneysaver's Bank offers a savings account that earns 6% interest compounded continuously. If Aldo…

A: Given: The interest rate is 6% compounded continuously. Aldo deposits $2700. Since, the amount after…

Q: Will invests $2000 in his IRA in a bond trust that pays 9% interest compounded semiannually. His…

Q: You deposit $4000 in an account earning 4% interest compounded continuously. How much will you have…

Q: 5. A man invested 1000 dollars in an account. How long will it take before this investment will…

A: Given: Principal investment (P)= $1000 Final amount (A)= $3000 Rate (R)= 5 % Let time be t years…

Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…

Q: Investment A is currently worth $70,200 and is growing at the rate of 13% per year compounded…

A: Growth formula: P=P0ert P=Amount after t years P0=Initial amount r=growing rate t=time in years To…

Q: 5. A depositor places P10,000 in a certificate of deposit account which pays 7 percent interest per…

A: As we know that the formula for the continuous compounding: A=Pert Where; 'A'' is the accumulated…

Q: After how many years will an account have $12,000 if $6,000 is deposited, and the account receives…

A: Topic:- compund interest

Q: 12. If you deposit $500 in a savings account that earns 4% interest, how much will you have after 10…

Q: Stefan invests $3,887 in a retirement account with a fixed annual interest rate of 2% compounded…

Q: Find the doubling time of an investment earning 6% interest if interest is compounded continuously.…

A: Given query is to find the time to double the investment, if compounded continuously.

Q: If Sandago has a present population of 70,000, and thr population is increasing by 3% each year.…

A: By using the formula you can solve the problem as follows :

Q: 9. How long does it take for Mary to deposit $100 to an annual interest rate of 3%, compound…

Q: In compound interest, time is divided into interest periods. During each period, interest is earned…

A: Common difference (r) = second termfirst term

Q: Which investment yields the highest return for the investor? A. Investment A: $10,000 invested at a…

Q: A city has a population of 230000 people. Suppose that each year the population grows by 4% . What…

Q: 2. Suppose a population of insects increases according to the law of exponential growth. There were…

A: We will solve the problem

Q: n investment account with an annual interest rate of 7% was opened with an initial deposit of…

A: We can find the answers and compare them as below.

Q: 6000 dollars is invested in a bank account at an interest rate of 9 percent per year, compounded…

Q: 7. A $7,000 investment earns 9% interest, compounded continuously. Find its value after 3 years.

Q: You deposit $2000 in an account earning 3% interest compounded continuously How much will you have…

Q: If $3000 is invested at 5% interest, find the value ofthe investment at the end of 5 years if the…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Dan…

Q: 4) A savings account balance is compounded continuously. If the interest rate is 3.1% per year and…

A: note- (Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 9. Investment A is currently worth $5,000.00 and is growing at the rate of 2% per year compounded…

Q: How many years will it take a $766 investment to be worth $1,123 if it continuously compound at 6%…

A: Given Data: The initial investment is: P=$766 The final worth is:Pt=$1123 The continuously…

Q: a) You deposit $6000 in an account earning 3% interest compounded continuously. How much will you…

A: (a) The future value is A=Pert , where P is the Principal amount, r is the Rate of deposit, t is the…

Q: A virus population follows the law of exponential change. If between 9am and 11am, the population…

A: Given: Population of virus follows a exponential growth function. Also, between 9 am to 11 am,…

Q: half life of radium is 1690 years. if 60 grams are present now how much will be present in 300 years

Q: 8000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded…

A: The formula for compound interest, including principal sum, is A = P 1+rnnt Where A = the future…

Q: A city has a population of 240,000 people. Suppose that each year the population grows by 5.5% .…

A: Current population of city is P(0) =240,000

Q: - The population of a country doubles in 82 yrs. How many years will it be five times as much?

A: We have to solve given problem:

Q: 7000 dollars is invested in a bank account at an interest rate of 6 percent per year, compounded…

Q: HIV/AIDS. In 2003 there were an estimated 25 million people who have been infected with HIV in…

Q: (5) If Sandago has a present population of 70,000,and the population is increasing by 3% each year.…

A: Given problem is : (5) If Sandago has a present population of 70,000,and the population is…

Q: 3. A university invests $100,000 into an account that pays a 4.75% annual rate compounded…

A: Given Principal invested = P = $100,000 The annual interest rate = r = 4.75% We have to find the…

Q: Moneysaver's Bank offers a savings account that earns 6.5% interest compounded continuously. If Deon…

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Exponential functiony= a bx a is the initial population

Q: Moneysaver's Bank offers a savings account that earns 7,5% interest compounded continuously. If…

A: Interest compounded continuously means that interest can be earned on the principal constantly and…

Q: Find how much money needs to be deposited now into an account to obtain $6,100 (Future Value) in 12…

A: Find how much money needs to be deposited now into an account to obtain $6,100 (Future Value) in 12…

Q: 9. A person deposited P1,000 in a 2% account compounded continuously. In a second account, he…

Q: In a Science class experiment, the population of insects increases according to the law of…

A: We will solve the problem

Q: A deposit of $2500 is made in an account that pays an annual interest rate of 5%. Find the balance…

Q: n 1887, a person sold a house to a lady for $24. If the lady had put the $24 into a bank account…

A: Given that, lady bought the house in 1887 and the investment year ends in 2012. Therefore,…

Q: years

Q: Jevante invested $10,000 at 3% interest compounded continuously. How much will he have after 4…

Q: 2000 dollars is invested in a bank account at an interest rate of 8 percent per year, compounded…

Q: Radium-226, a common isotope of Radium, has half-life of 1,700 years. A certain chemist has a…

A: The amount remaining of the object with half-life can be calculates using the half-life formula. The…

Q: 6000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded…

Question

How many years are required for an investment to double in value if it is appreciating at the rate of

15%

compounded continuously?

At 15% compounded continuously, the investment doubles in

____ years.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given

VIEW

solution

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000 Compare the values of the account after 9 yearswhen the interest is compounded annually, quarterly,monthly, and continuously.
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.
You invest $500 at an annual interest rate of 5.25, compounded continuously. How long will it take your money to double? Compare your result with that of Example 10.