A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, Band C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functionsmodeling this dependency are given below:B(T) =8T2 + 976T – 28890С(Т) 3D — 2T?+244T — 6893What are the two temperatures at which the number of bass in the lake is the same as the numberof catfish? Enter exact expressions or round your answers to the nearest thousandth.T :T

Answer: If the number of bass and number of catfish is the same then the two equations will be…

A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: ВT) — — 8T² + 976T – 28890 С(T) 3 — 2T? + 244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T Т—

A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: ВT) — — 8T² + 976T – 28890 С(T) 3 — 2T? + 244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T Т—

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.6P

See similar textbooks

Similar questions

I need help especifically with the part where they rearrange the equation as: .0790(V/E) = .11 + .058(.75)(D/E). How do they get an inverse (V/E) on the left side without the .11. And how do they get a (D/E) ratio.
Population of Fish in a Lake A lake is stocked with 100 fish. Let f(1) be the number of fish after i months, and suppose that y = f(1) satisfies the differential equation y' = .0004y(1000 – y). Figure 7 shows the graph of the solu- tion to this differential equation. The graph is asymptotic to the line y = 1000, the maximum number of fish that the lake can support. How fast is the fish population growing when it reaches one-half of its maximum population? 1000 800 600 400 200 10 15 Figure 7 Growth of a fish population.
Find f'(x). T(x) = 2x° (x* - 2) 5 f'(x) =O
quiz 1 (page 1 of 5) 105 econ مبادئ في الاقتصاد الرياضی ش 2 و ش elearning yu.edu.jo Question 1 Not yet answered Question 3 Marked out of 1.00 Not yet answered Marked out of 1.00 **Assume that you have the following equations: Simplify the following expression: 3X(8x+9)- X(X+7) 4P+4Q=16 2P-Q=2 The equilibrium price is: O a. 23x2 + 20X O a. P=5 O b. X2-30X O b. P=6 O c. 25X2 + 32X Oc. P-2 d. 21X2-24X O d. P-4 e. None of the above O e. None of the above Clear my choice Clear my choice Next page Next page Quiz navigation Quiz navigation 12 31 4 ...
Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)
A reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 34 feet. If the distance across the top of the mirror is 70 inches how deep is the mirror in the center? A) 1225/19584 in. B) 289/35 in. C) 1225/1632 in. D) 1225/136 in. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = t^3 + 1, y = t^3 - 15; -2 lessthanorequalto t lessthanorequalto 2 A) y = x - 16; -7 lessthanorequalto x lessthanorequalto 9 B. y = -x^2; -4 lessthanorequalto x lessthanorequalto 4 C) y = -x - 16; -7 lessthanorequalto x lessthanorequalto 9 D) y = x^3; -3 lessthanorequalto x lessthanorequalto 1 Solve the problem. Round to the nearest if needed. To save for retirement, you decide to deposit $2000 into an IRA at the end of each year for the next 40 years. If the interest rate is 9% per year compounded annually, find the value of the IRA after 40 years. A) $60, 819 B) $24, 330, 719 C) $675, 765 D) $618, 133…
It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by thefunction:P(x,y) = (x - 30)(70 - 5x + 4y) + (y – 40)(80 + 6x – 7y) centswhere x is the price per can of Brand V Juice and y is the price per can of Brand Triple V Juice. CurrentlyBrand V Juice sells for 50 cents per can and Brand Triple V Juice sells for 52 cents per can.i. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises theprice of Brand Triple V by one cent per can while keeping the price of Brand V unchanged.ii. Find a stationary point of the daily profit function. Classify this stationary point.
X(t) is a wide sense stationary stochastic process with autocorrelation function sin(271000r) R„(T)=10- 271000r The process Y(t) is a version of X(t) delayed by 50 micro seconds. {Y(t) = X(t - t0)} (a) Derive the autocorrelation function of Y (t). (b) Derive the cross-correlation function of X(t) and Y (t). (c) Are X(t) and Y (t) jointly wide sense stationary? IUnloaded File Details
How to get the correct answer 0.7271 from the following problem?
Solve for x for the following equation: 4ln(3x-8) = 60
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) = 56x – 0.020x? 0sxs 2800 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results. (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (Round to one decimal place as needed.) (B) R'(X) = (C) R(1000) = R'(1000) = Interpret these results. Choose the correct answer below. O A. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing at a rate of R'(1000) dollars per seat. O B. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. O c. This means that at a…
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=64x-0.020x² 0≤x≤3200 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results. ... (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. 23 (Round to one decimal place as needed.) (B) R'(x) =