Question

The population P (in thousands) of Charlotte, North Carolina from 1980 through 2013 can be modeled by

P = 321e0.0275t

where t = 0 corresponds to 1980.† (Round your answers to the nearest whole number.)

(a) What was the population of Charlotte in 2013?
people

(b) In what year will the population of Charlotte reach 1,900,000?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: how can i derive these, and have the asnwer with positive exponents only

A: Solving the 1st problem: Given:

Q: 20.t2y′′+3ty′+y=0,t>0;y1(t)=t−1

A: Click to see the answer

Q: Calculus 11th Edition - Ron Larson Chapter 5.2 The Natural Logarithmic Function: Integration Evaluat...

A: Click to see the answer

Q: In Problems 13 through 18, use a computer system or graphing calculator to plot a slope field and/or...

A: Click to see the answer

Q: (c) SO YOUR TURN 3 [(ar²+ Find (6x² + 8x-9) dx. b R. Exam the de

A: Click to see the answer

Q: Derive the solution P(t) = MPo Ро + (М — Роје- of the logistic initial value problem P' = kP(M – P),...

A: Click to see the answer

Q: 11:43 AM Sat Apr 18 * 74% webassign.net Find the inverse function of f. 2х + 5 f(x)= х — 8 f-1(x) =

A: Click to see the answer

Q: Evaluate the definite integral 2x dx in two -3 different ways: (2a) as a net area. Sketch the functi...

A: From the above graph, the net area is area from 0 to 1 = 1 area from -3 to 0 is -9. So net area = -9...

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x³ - 3x2 -9...

A: Click to see the answer

Q: g) Use implicit differentiation to find y, given x' + y = 6xy in) Find the equation of the tangent l...

A: Click to see the answer

Q: YOUR TURN 3 x + 1 Find dx. (4x² + 8x)³

A: We need to evaluate the integral. We will make use of the substitution: 4x2 + 8x = u Hence, (8x + 8)...

Q: e2t – e-2t – 4t lim t-0 t – sin(t) (use L'Hospital multiple times)

A: Click to see the answer

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 7000 − 18x, x ...

A: The demand function d(x) = 7000 – 18x   The market price M = d(k)   Now, the value of the consumer’s...

Q: If $500 is invested at an interest rate of 2.5% per year, find the amount of the investment at the e...

A: The formula for continuous compounding is

Q: Approximate the area under the curve y = 9 – x² and above the x-axis on the interval 1 < x < 2 with ...

A: Length of each subinterval is: So the partition is 1, 1.25, 1.50, 1.75, 2 1a) For right-hand approx...

Q: f(x)= { 3x+10 x&lt;0  in the same bracket above {3x+20 x&gt;0 Calculate the following values:f(−1)=f...

A: Given function

Q: Find the area of the region enclosed by one loop of the curve. r=3cos(θ)

A: Kindly follow the attached image.

Q: Oxygen-19 has a decay rate of 2.62% per second. The rate of change of an amount of N of oxygen-19 af...

A: Click to see the answer

Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x  

Q: Find the total area bounded by the x-axis and the curve y=f(x) on the indicated interval. Enter your...

A: Click to see the answer

Q: evaluate the limit lim x→2π     (xsin(x) + x2 − 4π2)/(x − 2π)

A: Click to see the answer

Q: Betty and Bob Brick Company has budgeted $10,000 per month for Labor and Materials. If $x thousand i...

A: Click to see the answer

Q: Solve the following trigonometric equations over the given intervals 1=tan(x)-sec(x) over [0, 2π)

A: Given,  

Q: For 2 consider s(t) =r -9 +24t on [0,6] Find v(t)and a(t). At what time does the particle change dir...

A: Click to see the answer

Q: Suppose that SpyBorg Inc introduces a new computer game in Houston using television advertisements. ...

A: Click to see the answer

Q: The position of a certain spring–mass system satisfies the initial value problem u′′+14u′+2u=0,u(0)...

A: First of all please note that somewhere your equation has lost formatting and hence you have misrepo...

Q: fined a power series representation of the function f(x)= Be sure to simplify the power (x-5)² serie...

A: Click to see the answer

Q: Find the mass of a wire that lies along the curve r(t) = (t2 - 1)j + 2t k, 0&lt;=t&lt;= 1, if the de...

A: Click to see the answer

Q: Find the average rate of change of the function over the given interval. (Roun 1. h(x) = x³ 5. [0, 3...

A: Click to see the answer

Q: 4. A balloon is rising vertically above a level, straight road at a constant rate of 3 ft/sec. Just ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Problem 11. (1 point) Let f(x) = -x – 7x³ + 2x – 3. Find the open intervals on which f is concave up...

A: Click to see the answer

Q: A ball is dropped from the top of a building 400 ft high.How long does it take to reach the ground? ...

A: Click to see the answer

Q: Interpret the meaning of f ' (55) = 8 .  A) 8 is the rate of change in people B) 8 is the total chan...

A: Click to see the answer

Q: solve the given initial value problem. Sketch the graph of the solution and describe its behavior fo...

A: We need to set up the characteristic equation and solve the same.  

Q: For the vector field F(x,y,z) =  2yi +xyj + (2x-xz)k. (i) Show that  (ii) Determine whether if the v...

A:        

Q: Let f(x) = 2x + 3x²/3 a) Find the intervals of increase and decrease. b) Find the relative maximum a...

A: Find f'(x) using the power rule.    

Q: evaluate the limit lim θ→π/2+  tan(θ) cos(θ)

A: Click to see the answer

Q: I need help with questions 26 and 27

A: 26.

Q: (a) Find the angular speed of the wheels in rad/min. (b) How many revolutions per minute do the whee...

A: Click to see the answer

Q: Graphs of trigonometric functions

A: the graph of the given trigonometric function is shown below

Q: Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both in...

A: (a)