In a laboratory experiment, the population of bacteria in a petri dish started off at9100 and is growing exponentially at 6% per day. Write a function to represent thepopulation of bacteria after t days, where the hourly rate of change can be foundfrom a constant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per hour, to the nearesthundredth of a percent.Function: f(t) =Growth% increase per hourSubmit Answerattempt 1 out of 2Privacy Policy Terms of ServiceCopyright C 2022 DeltaMath.com. All Rights Reserved.P Type here to search81%

Given: The initial population of a bacteria=9100 and rate of growth=6% per day. To find: A function…

Answered: In a laboratory experiment, the…

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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If Daniella opens a mutual fund account with a deposit of 15,000 and it promises to pay an annual interest rate of r% compounded on a monthly basis. Derive a function B, which shows the balance on Daniella's account the end of 6 years. Make a comparison of the rates of change in B with respect to the interest rate when r is 8%, 10% and 12%.
The amount of a substance remaining (in grams) is given by the functionP (t) = 1.9(.89)^t/2where t is in seconds. What is the half-life of this substance?A. 22.912 secondsB. 8.264 secondsC. 2.974 secondsD. 0.336 secondsE. 11.896 second
Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =
Vinu
The value of a brand new car is $10,000$10,000 and the value depreciates 18% every year. Write a function to represent the value of the car after �t years, where the quarterly 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 quarter, to the nearest hundredth of a percent.
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 value of a brand new car is $28, 000 and the value depreciates 19% every yea. Write a function to represent the value of the car after t years, where the quarterly 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 pe quarter, to the nearest hundredth of a percent. Function: f(t) Growth % increase per quarter Submit Answer
Element X is a radioactive isotope such that its mass decreases by 20% every year. Ifan experiment starts out with 730 grams of Element X, write a function to representthe mass of the sample after t years, where the monthly rate of change can be foundfrom a constant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per month, to the nearesthundredth of a percent.
Which of the following best describes the function shown below? a. Linear b. Quadratic c. Exponential Growth d. Exponential Decay

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