Assume there is a certain population of fish in a pond whose growth is described by thelogistic equation. It is estimated that the carrying capacity for the pond is 1100 fish. Absentconstraints, the population would grow by 210% per year.If the starting population is given by po = 400, then after one breeding season thepopulation of the pond is given byP1 =After two breeding seasons the population of the pond is given byP2 =Submit Questionesctab2.caps lockshifti1F1F280F3aF4#372$4ヘ6olo 50%F6F7DIIF887&00 *8QWERTYUANSfnTcontroloptionDLLFGHXCVBNHcommand

The logistic growth model is often used to describe how populations grow when there are limits, such…

Answered: Assume there is a certain population of…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
Find the equation of the logistic function with a maximum value of 1000, an initial value of 500, and point (2,800)
find the exponential model that fits the points (2,9) and (0,1)
Please don't provide handwritten solution ...
Drug doses for dogs are known to scale with their weight. If the weight (W) of the dog is given in kilograms, then to convert from a human drug dose to a drug dose for your dog (in milligrams), you can use the formulaD(W) = 0.0584 * W^2/3 * ℎ where ℎ is the human drug dose in milligrams. 1) What is the drug dose in milligrams if your dog weighs 7 kg and the adult dose of aspirin is 150 mg?Round your answer to the nearest integer. 2) If you gave your dog 28 mg of the aspirin and the adult dose of aspirin is 150 mg, how much does your dog weigh in kilograms?Round your answer to one decimal place.
A study of driving costs of 2015 model sedan cars found that the average cost (car payments, gas, insurance, upkeep, and depreciation), measured in cents/mile, is approximated by AC(x) = 45+ 120 where denotes the number of miles (in thousands of miles) the car is driven in a X x year. 1. What is the average cost of driving a sedan car 20,000 mi/yr? 2. What happens to the average cost as the number of miles driven increases without bound?
Coral reefs throughout the world are dying at a continuous rate of about 1.5% per year. Write an equation that can be used to determine the future area of a reef that now has an area of 150 km^2. Let c be the area of the coral reef t years from now. The equation is: The equation is in the family Use the equation to determine how many years until the reef decays to an area of 99 km^2? Round to the nearest year.
A 25,000 machiene depreciates linearly to 0 over a ten year period.What is the value of the machiene after 6 years?
a conservation group releases 100 toads into a wetlands. after observing the toads for a number of years the estimate number of toads follows the equation p(t)=1000/1+9e^-0.165t, where t is the number of years since the release. a) how many toads are there after 5 years? b) when will the number of toads be 650? c) how many toads will be in the wetlands when their numbers are increasing most rapidly? d) what is the carrying capacity for the number of toads in this wetland? e)sketch a graph of the function. label your axis.
The level of water in a tank is decreasing such that its depth, d, can be modeled by d=18(.92)^h, where h represents the hours that the tank has been draining. Based on the model, which of the following represents the percent that the water level drops in the span of a single day? Choices: (1): 14% (2): 48% (3): 72% (4): 86%
use differential linear equation

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