Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 1500 / [ (8 + t2)0.5 ] people per year t years from now. If the amount of voters at present is 25,000, how many voters will be in the district 2 1/2 years later?

Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 1500 / [ (8 + t2)0.5 ] people per year t years from now. If the amount of voters at present is 25,000, how many voters will be in the district 2 1/2 years later?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...

See similar textbooks

Related questions

Q: 4. Check if the following is a separable equation. = xy + y dx O variable separable O not variable s...

A: Take y common from the right hand side.

Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49...

A: To find the sum of the geometric series.

Q: R= {y = x^3 + 1, x=1, x-axis} Can you help me answer this? And explain how did you get the answe...

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point y = x3 + 1 When x = 1 y = 1...

Q: Activity 1. Solve for what is asked. Expresses your answer in simplest form. 1. Find : dx x = 8

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y no matter what value the constant k has...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: Find the area of the triangle with vertices P(1, 5, –4), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exa...

Q: Use the Laplace transform to solve the given initial-value problem. dy — у %3D 1, у(0) %3D 0 dt

Q: Determine whether each point lies on the line. x = -3 + t, y = 6t, z = 5 +t (a) (0, 18, 8) O Yes O N...

A: Line in 3D

Q: Approximate the sum of the series correct to within 0.00001. (-1)" (3n)! n = 1

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

Q: lim f(x, y) = 6, then f(1.9, 2.9) = 6- %3D (x, y) + (2, 3) If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(...

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: Find your answer below

Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0, 2...

Q: Suppose that f(x, y) = e"/♥ on the domain D = {(x, y) | 0 < y < 1,0 < a < y*}. Then the double integ...

Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

Q: 수) +sin?y-0 2 (fy) dx dx

Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: Using the rectangles each of whose height is given by the value of the function at the midpoint of t...

Q: P L A B Use the method above to find the distance from the point P(-3,1,8) to the line through A(1, ...

Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С. ...

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is p...

Q: 2. Tell one Solution to this graph. 1.

A: topic- inequality

Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4 b...

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat...

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find.

Q: Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicu...

Q: olve the bessel equatio

A: answer of given question is in step 2

Q: Homogeneous Equations: Solve the differential equation +y? y' %3D xy O y? = x² In cx? x²y? = In cx2

Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

Q: (2² - ) 3 15 z = 7 2t2

Q: Let D be the trapezoidal region in the ry-plane bounded by the graphs of z = 0, y = 1, y = z and y =...

A: We have to solve for the area by integration.

Q: A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/ Find t...

Q: 3. Given the equation y = - 0.5 (x – 1)³ + 2 a) State the base/parent function: b) Use math words to...

Q: Express the parametric y = 2 +9 in the Cartesian form y f(x). curve x = t + 6

A: This question can be solved by eliminating t from both the equation.

Q: 7.) f (x)> (3x+2)(5x-2)

Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y ...

A: Given query is to find the integral form arc length.

Q: У (4х + у) dx — — у) dy 2 (x² - 2x2 +x+ 2In у — С ans. y

Q: x - 3x?y = C

Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will us...

A: Answer: The solution is as given below:

Q: Use Taylor's Inequality to determine the minimum number of nonzero terms of the Maclaurin series for...

A: Use the Taylor's inequality to determine the minimum number of nonzero terms.

Q: nd the volume of the region under the surface z = ay? and above the area bounded by a = y² and + 2y ...

Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

Q: 2. 2x Vx-2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

Question

Voter Registration

The amount of voters in a city's district should grow at the rate of

R(t) = 1500 / [ (8 + t²)^0.5 ]

people per year t years from now. If the amount of voters at present is 25,000, how many voters will be in the district 2 ¹/₂ years later?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find?
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Rachel invests $15,000 at age 25. She hopes the investments will be worth when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?