Josh invests $5000 in an account that supplies 3.7% interestcompounded continuously. This can be modeled by the functionA = 5000e0.037t , whereA is the value of the investment after t years.a. Is the function A = 5000e0.037£ linear, quadratic, exponential, ornone of these? Explain your answer.b. How long will it take for his investment to double? Round youranswer to the nearest tenth of a year.

Answered: Image /qna-images/answer/a3928135-16ad-4e18-84bf-c91fac74e2fc.jpg

Answered: Josh invests $5000 in an account that…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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
WP1: One end of a Bungee is tied to a bridge that is 120 feet above water. The other end of the Bungee is tied via padded ankle straps to a jumper's ankle. The jumper jumps and the Bungee cord extends like a rubber band and the jumper bounces up and down until coming to a halt. The Bungee cord elongation 150% of its length, meaning that the Bungee cord extended length Will be its original length plus 1.5 times of its original length. Knowing that that the jumper's height is not more 7 feet, what should the original length of the Bungee cord be to assure that the jumper under any condition stays at least 10 feet above water? Solution: Let consider the following bridge of 120 height above water.
environmentalists think that the population is increasing at a rate of 2.5% 1. The bear population in Canada was 380,000 in the year 2015, and per year. Consider the function that represents the exponential growth of the bear population in Canada. Part A: Define a variable for the function and state what the variable represents. Part B: What is a reasonable domain for the situation? Part C: Write the function that represents the exponential growth of the bear population. Part D: What is the bear population estimated to be in 2050?
3. Caroline puts S400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
B. Deveney likes to take time off from playing to research rare cellular structures. Last summer, she discovered a previously unknown cell and created 5kg of a rare substance. After making some observations, she determined this new cell decays exponentially and has a half-life of 2 days. a. Write an equation that related the remaining amount of the rare molecule a(t) to time t. b. After how many days will Deveney have only -kg left? c. When she returns to the lab, her sample will be 30 days old. How much will be remaining?
Write an equation for the function graphed below. The y intercept is at (0,0.5) 5 4 3 -5 -4 -3 -2 -1 1 2 3 4 5 7 -2 -3 -4 -5 y = The count in a bacteria culture was 900 after 15 minutes and 1700 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 100 minutes. When will the population reach 11000.

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