The populatiom of a colony of red imported fire ants starts with one queen and seven workers in the spring. Six months later, the colony has grown to 7000. 1) Determine an exponential growth model that represents the growth of the colony during the first six months.

The populatiom of a colony of red imported fire ants starts with one queen and seven workers in the spring. Six months later, the colony has grown to 7000. 1) Determine an exponential growth model that represents the growth of the colony during the first six months.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...

See similar textbooks

Related questions

Q: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

A: As we know that ddx(fg)=f'g+fg' for two function f and g of x.see below the calculation and answer

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get

Q: Evaluate each problem using your table of powers. 9) 2435 11) (25) + 10) (-27) 2 12) 144².

A: NOTE: Refresh your page if you can't see any equations. . from the table, we can write, use the…

Q: k=0 4(-2) is an alternating geometric series, which diverges. converges Σ 4( - 2)² k=0 Enter DNE for…

A: ∑k=0∞ 4-2k

Q: Use concepts learned in this module to complete this problem set: particle motion, applications…

A: Solve for the limit

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2…

A: Given Data : Two curves are given as, z=x2+y2 6 x2+4 y2+5 z2=30. Required : We have to find…

Q: A test was given to a group of students. The grades and gender are summarized below A B Male 9 17…

A: To find the required probability

Q: CATIA UMNO. (Hint on this problem: Use arrow diagrams for ideas.) a) Find a specific example of a…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e−x^2 − 3y^2 − 7z^2 where T is…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin³ 50 √ cos 50 dº X

Q: lve the exponential equation by expressing each side as a power of the same base and then equating…

A: Given query is to find the value of x.

Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the…

Q: Evaluate each arithmetic series described 6 n=1 (6n – 15) = =

A: Solve the given

Q: Calculator may be used to determine the final numeric value, but show all steps in solving without a…

A: Given A3=36πV2A=Area of balloonV=volume of balloon

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

Q: 27. x² - xy - y² = 1, (2, 1) (hyperbola) 28. x² + 2xy + 4y² = 12, (2, 1) (ellipse)

A: Here not exist question 16 So i do first two questions

Q: A graph is defined by the equation y²(2-x) = x³. Part A: Find dy Part B: Find the equation of the…

Q: find the first derivative for :Y=8-7x-7x^2+4x3

A: Given query is to find first derivative.

Q: -3x+8 x-7 Fill in the blanks below. (Note that it is common to say a limit "has a value of" oo if…

Q: (1) Σ --0 k k k! εξαφά

Q: Find the following limit. 3x²-1 lim

Q: Multiply and simplify: (4x) (8x²) The answer can be written in the form cx where: C= p=

Q: 2 Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² +2400q, what quantity…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

Q: A particle moves along the x-axis so that at time t≥ 0 its velocity is given by v(t) = 3t² − 48t +…

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = −20t³ + 60t.…

A: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = −20ť³ +…

Q: Evaluate the integral using integration by parts. [9x csc ²3x dx [9x csc ²3x dx = (Type an exact…

A: Integration

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: use the second derivative test to check the correct answer

Q: Given: (x³ – 3x − 2) ÷ (x² + 2x + 1) = x − 2 Therefore: (x - 2) (x² + 2x + 1) = x³ - 3x - 2 True O…

A: Let P(x),Q(x),R(x) be polynomials such that, P(x)/Q(x)= R(x) Then doing cross multiplication we get,…

Q: Mike Branson invested his summer earnings of $3000 in a savings account for college. The account…

A: solution:-Principal amount, P=$3000Interest rate, r=5.5%Time , t=3 months=312 years

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

Q: 30. x2/3 + y2/3 = 4, (-3√/3, 1) (astroid) УА О 8 x

Q: 11) The graph of a rational function f(x)=n(x)d(x) is shown below. To view other parts of the graph,…

Q: K Given cost and price (demand) functions C(q) = 100q+41,500 and p(q) = -1.8q+870, what is the…

Q: APTER 2 2 Determine the equation of the following graph: -15 -20 -10 lo -5 10 ty- 15 3. What is the…

A: Given query is to find the equation of the parabola.

Q: 5. Find all points of inflection for f(x) = (x² - 3)².

A: Given query is to find inflection points.

Q: Part II. Find the required derivative of the given functions. Show your solution and express your…

Q: Dave borrowed $5700 from his uncle with simple interest of 13% and eventually repaid $8664…

Q: 3x

Q: Let f(x) = -x- 8x³ + 6x + 3. (a) Find the interval(s) where f(x) is concave up. (Enter your answer…

A: Let's find concave down and up interval and inflection points.

Q: Find the equations of the normal line to the surface z=3x4y5 at the point (1,1,3).

Q: 5. 2. Determine the equation of the following graph: -10 -5 -15- -20 10 0 5 10 15 VEG Wh

A: Observe that the given graph is a parabola that passes through the points 0,-10, 10,0, and -2,0.…

Q: 1. Consider the function f(x)= x-x5 + sin(27(x - 1)). Use the MVT to prove that there exists a c…

A: Use mvt

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

Q: Consider the functions f(x) = x² and g(x) = 1-2x. Determine each of the following. 1. Form the…

A: Given f(x)=x², g(x)=1-2x

Q: Evaluate the following integral. 4 √2 S 0 dx 16-x²

Q: ['yes' dy. Ans. (1 - ¹).

Q: A curve is represented by the equation 4y³ + xy - 5x + 4 = 0. Part A: Determine Part B: Evaluate dy…

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 3y² - 9z² where T is…

Q: Which of the following is the proper format for the x³ + 1 partial fraction decomposition of (x²+4)²…

Question

The populatiom of a colony of red imported fire ants starts with one queen and seven workers in the spring. Six months later, the colony has grown to 7000.

1) Determine an exponential growth model that represents the growth of the colony during the first six months.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.
Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?