In 1990 (t = 0), the world use of natural gas was 74709 billion cubic feet, and the demand for natural gas was growing exponentially at the rate of 4.5% per year. If the demand continues to grow at this rate, how many cubic feet of natural gas will the world use from 1990 to 2012?

In 1990 (t = 0), the world use of natural gas was 74709 billion cubic feet, and the demand for natural gas was growing exponentially at the rate of 4.5% per year. If the demand continues to grow at this rate, how many cubic feet of natural gas will the world use from 1990 to 2012?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 444RE: Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this...

See similar textbooks

Related questions

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4years?

A: Given principal(p)=$4000Interest rate(r)=3%=0.03time(t)=4 yearssince the amount is compounded…

Q: Mary invests $3500 at 2.75% compounded continuously. How much money will be in the account after 6…

A: Given that Invested amount=$3500 Interest compounded continuously =2.75% Time=6 years To find How…

Q: Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%. How…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: for the half-life, use the formula y=a0.5tp here initial amount is a=300 mg and the half-life is…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given , The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Given: The half - life of Radium - 226 is 1590 years. A sample contains 300 mg. To find: Amount of…

Q: In the year 2004, the age-adjusted death rate per 100,000 Americans for heart disease was 249.1. In…

A: Let the required exponential model be, ft=a·bt →1 Given that ft=249.1 when t=0, therefore from…

Q: The count in a bacteria culture was 200 after 20 minutes and 1200 after 30 minutes. Assuming the…

Q: How long (in years) would $500 have to be invested at 8%, compounded continuously, to amount to…

Q: Find the time it takes for $6,400 to double when invested at an annual interest rate of 4%,…

A: Given: sum, P=$6,400 r=4%=4100=0.04 We have to find time in which given sum becomes double. So,…

Q: Logan invests $4000 at an annual interest rate of 6%.How much money will she have after 10 years if…

Q: How long does it take to double a $20,000 investment in value when compounded continuously at 10%…

A: Given : Investment =$20,000 interest rate =10% Formula for continuously compounding,…

Q: Taylor invested $11,000 in an account paying an interest rate of 3.5% compounded continuously.…

A: We will find out the required value.

Q: In 2000 (t=0), the world consumption of a natural resource was approximately 20 trillion cubic feet…

Q: This year there were 25,000 new births in a large county, but new births are expected to decay…

Q: how long it will take for an investment of $2000 to double in value if the interest rate is 7.5% per…

A: We can solve the problem by constructing the problem at first the find the required time.

Q: If you need $400,000 in 18 years for your child's college, how much should you invest TODAY at 2.1%…

Q: See photo attached, thank you.

Q: In the year 2006, the age-adjusted death rate per 100,000 Americans for heart disease was 238.5. In…

A: (a) Let exponential model for the given data will be, Dt=D0e-λt, where Dtis death rate 100,000…

Q: Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately…

A: Directly use the formula for compound interest.

Q: How many years will it take for an invested amount of money to double its value when invested at…

A: If the interest is compounded continuously, then the formula: A=Pert is used. Here, A is the final…

Q: A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to…

Q: Find the time necessary for $1000 to double when it is invested at rate r =7% and compounded (a)…

A: (As per bartleby guidelines, for questions containing multiple subparts, only three subparts will be…

Q: Jackson invested $320 in an account paying an interest rate of 3.2% compounded continuously.…

Q: Estimate the value of x to the nearest tenth when the y-value of the exponential function begins to…

Q: In the year 1998, the age-adjusted death rate per 100,000 Americans for heart disease was 235.9. In…

Q: The population of Weston is currently 7,000. But the population is shrinking according to the…

Q: Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is…

Q: The population of rabbits on an island is growing exponentially. In the year 2005, the population of…

A: In 2005, population, P1=6900 In 2012, population, P2=13500

Q: Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming…

Q: The small intestine bacteria, while inhabiting areas optimal for growth, have a doubling time of…

A: The exponential growth can be studied using the exponential growth function. The formula for the…

Q: Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long…

A: Initial investment=$1500 Rate of interest=2.25% We need the time in which the earnings will be $5000

Q: f $1000 is invested in an account that earns 6.3% interest compounded continuously,how many whole…

Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

Q: Find the time it takes for $790,000 to double when invested at an annual interest rate of 19%,…

A: Solution-

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that, Invest value (P) =$4000 Interest rate(r) = 3% Time (t) =4 years

Q: The population in Littleton in 2010 was 45,300 people and is growing exponentially at a rate of 3%…

Q: Mariah is investing $40,000 in a bond that pays 2.3% interest compounded continuously. How much will…

Q: If Tabitha has $1000 to invest at 6% per annum compounded semi annually, how long will it be for her…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

Q: The population of a city is 7 million, with exponential growth rate 4%. In how many years will the…

Q: A couple paid 30000 dollars for a house forty years ago. Today, they sold the house for 250000…

A: We have to use formula of Compounded Annual Growth Rate formula here.

Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

Q: Find the time it takes for $6,600 to double when invested at an annual interest rate of 10%,…

A: NOTE** As per bartleby guidelines for more than one question asked only first is to be answered…

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Let the amount of aspirin in bloodstream at time t be N(t) and initial the amount be N0. Therefore…

Q: Samuel is going to invest in an account paying an interest rate of 5% compounded continuously. How…

A: GIVEN: Rate = 5 Time = 9 years

Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A: Assume the starting year to be 2015. According to the given information, N0=100t12=20

Q: Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is…

A: Solution:-

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
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?
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more wouldshe make if interest compounded continuously?