The population of Afghanistan is growing at 2.6% per year.**a. Write a formula for the population of Afghanistan as a function of time. Use A for the initial population.**$ S(t) = Ae^{2.6t} $**b. In 2005, the population of Afghanistan was 29.9 million. At the current rate of growth, how long will it take the population to reach 40 million? Answer exactly or round to 3 decimal places.**After 11.19 years

Given that, The population of Afghanistan is growing at 2.6% per year.

Answered: The population of Afghanistan is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b = 0.86). Equation: Circle one: Linear or Exponential 3. The population of flying squirrels in Madagascar started with 3 and the population doubles each year. Equation: Circle one: Linear or Exponential 4. Penny has a stamp collection of 550 stamps. Penny is feeling generous and gives away7 stamps every week. Circle one: Linear or Exponential Equation: 5. The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each min of service. Write a function to model the relationship between the number of minutes of service each month. 6. Jenny bought a 2016 Ford F-150 for $25,000 which depreciates at a rate of 4.3% per year (b = 0.957). Write a function to model the relationship between time and value of the car. 7. Brian used the equation y = 3x + 7 that represents the new cucumber plant that he bought for his yard, where x represents the weeks since the cucumber plant was planted…
In 2019, the US population was 328.2 million. In 2000, the US population was 282.2 million. Find the exponential function that gives the population of the US in millions as a function of years since 2000. Using the exponential function found above, what was the average growth rate over the last 19 years (remember that b=1+r). You should round b to 6 decimal places. r should be written as a percent with three decimal places. For the equation P= abt a= b= r= (average growth rate)
For each exercise, identify the error(s) in planning the solution or solving the problem. Th en write the correct solution
I REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN ONLY. I'LL UPVOTE DOWNVOTE IF HANDWRITTEN THANK YOU.
In a laboratory experiment, the population of bacteria in a petri dish started off at 3700 and is growing exponentially at 11% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent. Answer Attempt 4 out of 4 Function: f(t) = 3700(1+.11 Growth v (t/24) .11% increase per hour Submit Answer
The price in dollars of a house during a period of mild inflation is described by the formula P(t)=96000e^0.05t where t is the number of years after 1990. Answer the following questions: A. The value of the house in the year 2000 will be ___________ dollars. (Round your answer to the nearest dollar.) B. In the year 2000 the value will be increasing at a rate of ____________ dollars per year. (Round your answer to the nearest dollar.) C. How long will it take for a house to double in value? Answer: _____________ years. (Round your answer to two decimal places.)
Solve the problem. An investment is worth $2429 in year 0, the initial investment year. By year 5 it’s value has increased to $5314. Let y be the value of the investment in the year x. Find and interpret the average rate of change in value per year.
VI. Solve. 9.) A deposit of $7500 is made in a bond that pays 4% interest, compounded continuously. The balance will be given to a charity after the money has earned interest for 40 years. How much will the charity receive?
Suppose that $3060 is deposited into an account where the interest is compounded annually. This situation can be modeled by the function. P (t) = 3060(1.083)t where P(t) represent the value (in dollars) of the account at t years after depositing the $3060. In how many years will the money in the account Triple? {your final answer just number without decimal}

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