4. A population of squirrels is currently measured to be 500 squirrels.a. Write a function P(t) to predict the squirrel population t years from now if you expect thepopulation to grow at a constant rate of 40 squirrels per year. Hint-what type of functionhas a constant rate of change?b. Write a function Q(t) to predict the squirrel population t years from now if you expect thepopulation to increase by 8% each year. Hint-this is like the growth of an account with 8%interest calculated annually.c. For BOTH functions you found above, predict the squirrel population in 12 years. Round tothe nearest whole number as needed.

Answered: Image /qna-images/answer/4172cb95-d1aa-41e2-b2f7-f5e4cb436cb6.jpg

Answered: 4. A population of squirrels 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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Since the creation of a social program, the percent of persons 65 years and over with a family income below the poverty level has declined. The percent can be approximated by the function P(t) = 30.16-5.83ln t, where t is the number of years since 1965. Answer parts a. through d. below. C a. Find the percent of persons 65 years and over with family income below the poverty level and the rate of change in 1970. The percent of persons 65 years and over with family income below the poverty level in 1970 was %. (Round to two decimal places as needed.) The rate of change of the percent of persons 65 years and over with family income below the poverty level in 1970 was %. (Round to four decimal places as needed.) b. Find the percent of persons 65 years and over with family income below the poverty level and the rate of change in 1990. The percent of persons 65 years and over with family income below the poverty level in 1990 was %. (Round to two decimal places as needed.) The rate of change…
18. Create the equation of a function whose rate of change is always negative, but is increasing as the value of x increases (as the graph moves left to right). Sketch a quick graph of the function, as well as stating it's equation.
The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
6. You have a device that monitors the sound level of a conversation located 1 meter away. The results are shown in the graph. a. Describe the relationship of the sound level as a function of time. Sound Level (dB) ty (1) (2) (3) X
Please help solve this question, I dont get it.
8. The Federal debt held by the public as a percent of the gross domestic product (GDP) is modeled by the function y = 0.00630t3 – 0.289t² + 4.00t + 25.3 where t is the time (in years) since 1980. Find the average public debt as a percent of GDP, from 2000 to 2015.
0. A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + to represent the situation. 2000 1800 E 1600 1400 1200 1000 800 600 400 200 0 4 8 12 16 20 Time (min) how your complete work. Altitude (ft)
4. CHEMISTRY Boyle's Law states that when a sample of gas is kept at a constant temperature, the volume varies inversely with the pressure exerted on it. Write an equation for Boyle's Law that expresses the variation in volume V as a function of pressure P.
1. When you swim underwater, the pressure in your ears depends on the depth at which you are swimming. The formula p=0.43d relates the water pressure p, in pounds per square feet, to a depth of d feet. We can use this linear function to determine the pressure in your ears at a different depths. (a) If your depth is doubled, how did the pressure change? (b) Fill in the blank: i. If the depth is increasing, the pressure is ii. If the depth is decreasing, the pressure is
I am making a mistake somewhere in working this problem out... Please help So I can update my notes.
. Investments If $5500 is invested for x years at 12%interest, compounded quarterly, the future value thatresults is S = 5500(1.03) 4xdollars.a. Graph this function for 0 <= x <= 8.b. Use the graph to estimate when the money in theaccount will double.
Do not understand it.

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