You get a new credit card and make an initial charge, but then charge nothing else. The table below shows your balance B, in dollars, after you have made n monthly payments. Payments n 0 1 2 3 Balance B 502.00 471.88 443.57 416.96 (a) Find an exponential model for the data. (Round the values to two decimal places.) B = 401.96 ✕ 1.24n B = 600.00 ✕ 0.78n B = 458.60 ✕ 0.85n B = 416.96 ✕ 1.06n B = 502.00 ✕ 0.94n (b) What was your initial charge? (Use the model found in part (a).)$ (c) What will your balance be after you have made payments for 1 year? (Use the model found in part (a). Round your answer to two decimal places.)$

Question

You get a new credit card and make an initial charge, but then charge nothing else. The table below shows your balance B, in dollars, after you have made n monthly payments.

Payments n 0 1 2 3
Balance B 502.00 471.88 443.57 416.96

(a) Find an exponential model for the data. (Round the values to two decimal places.)
B = 401.96 ✕ 1.24n
B = 600.00 ✕ 0.78n
B = 458.60 ✕ 0.85n
B = 416.96 ✕ 1.06n
B = 502.00 ✕ 0.94n

(b) What was your initial charge? (Use the model found in part (a).)


(c) What will your balance be after you have made payments for 1 year? (Use the model found in part (a). Round your answer to two decimal places.)

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
Algebra

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: factor x2 +12=8x completely

A: Click to see the answer

Q: Solve the following systems of equations by graphing -2x+4y=12 y=1/2x

A: Given equation is

Q: A group of 9 people wants to buy a boat. The boat costs $414. If they all pay the same amount, how m...

A: Let x be the one person’s share to buy a boat.The cost of the boat is $414, and the persons want to ...

Q: The area of a triangle is 36 square feet. The height of the triangle is 1 foot shorter than its base...

A: From given, the height of the triangle is 1 foot shorter than its base, h=b-1.

Q: An engineer traveled 175 mi by car and then an additional 645 mi by plane. The rate of the plane was...

A: Let the rate of the car = x mphSo, the rate of the plane = 3x mph

Q: Write each fraction in terms of the LCM of the denominators. 5x/x^2-49= x-1/7x-49=

A: Given fractions are,

Q: Car A and car B are traveling at different speeds. Car A can travel 75 miles in the same time it tak...

A: Car A travels 75 miles and car B travels 60 miles.Car A travels 10 mph faster than car B.Here D = rt...

Q: What are the blanks?

A: In one week it increases 1.02. So in t weeks it will increase by (1.02)^t.Initial weight = 109 pound...

Q: solve using factoring only 3y(7y-20)=96

A: Given,

Q: What is the argumented matrix of the two systems? 2x1+x2+2x3=2 5x1+9x2-8x3=4

A: The given equation is,

Q: Determine the vertical asymptotes of the graph of the function. f(x) = x + 1 / 5xˆ2 - 21x + 4

A: Given,

Q: Graph the quadratic function f(x)=x2-16x+63. Give the (a) vertex, (b) axis, (c) domain, and (d) rang...

A: The quadratic equation is given by,

Q: Find the LCD of each group of rational expressions: 8/r+7,4/r-2

A: Click to see the answer

Q: b. Graph f = Vx - 2 + 1, and then graph its inverse. y 4 2 X -1 -3 4¢

A: Given function

Q: Sketch the graph    3x-6y=12

A: Given equation is

Q: please solve and show your work

A: Consider the given expression:

Q: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends ...

A: forminimum value of cost.

Q: How do you answer 62?

A: The given rational function is,

Q: It's the 13ft ladder question.

A: Given:A 13-ft ladder is leaning against a wall. The distance from the top of the ladder to the botto...

Q: Write an equation that expresses the following relationship. U varies jointly with the square of p a...

A: It is given that, U varies jointly with the square of p and cube of d.

Q: please solve and show your work

A: (1)

Q: F(×)= the square root of x G(x) = x+9 Find (f.g)(x) (G.f)(×) (F.g)(7)

A: Given,

Q: Determine the more basic function that has been shifted, reflected, stretched or compressed.

A: The given function is r(x). the basic function for square root function is

Q: 5. Consider the function f(x) = 2x-5x+12. Evaluate and SIMPLIFY each of the following expressions an...

A: Consider the below function

Q: The first leg of a right triangle is 22 cm longer than its second leg. If the hypotenuse has a lengt...

A: Let the length of the second leg be x.Then the length of the first leg is x+22.From the given, the l...

Q: Use the properties of exponents to simplify. Your answer should only contain positive exponents. Sho...

A: The given exponential expression is

Q: a loan payment of $ 4200 was due 80 days ago, and another payment of $ 1800 is due in 40 days from n...

A: Given:

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function...

A: In order to find the maxima or minima, first find the derivative and equate the derivative to zero, ...

Q: The function f(x)=-.01(x-34) +24 models the population (in thousands) of Plumas County, 3. Californi...

A: Consider the given population function.

Q: I'm confused on how to solve the problem below. Solve: x1/2-x1/4-2=0

A: Rewriting the exponents in the left hand side of the equation:

Q: use long division to determine whether the binomial is a factor of f(x). f(x)=2x3-13x2-38x+112;  x+2

A: Firat try to get rid of 2x^3.

Q: Farmer Ed has 450 meters of fencing, and wants to enclose a rectangular plot that borders on a river...

A: To find: The length, width and the area of rectangular plot.

Q: Mattie Evans drove 80 miles in the same amount of time that it took a turbopropeller plane to travel...

A: Let speed of the plane = x mph.The speed of the car= (x - 150) mph

Q: Write each fraction in terms of the LCM of the denominators. 5x x2 − 49 ,  x − 1 7x −...

A: Click to see the answer

Q: The foot of an extension ladder is 10 feet from a wall, while the top of the ladder reaches the top ...

A: Given that the length of the ladder is 2 feet more than the height of the wallAnd foot of the wall i...

Q: Determine the simple interest.​ (The rate is an annual rate unless otherwise stated. Assume 360 days...

A: Given principal =$600, r = 5.5%, t = 30/360 = 0.833.

Q: MAT150 Unit 3 Review **no need to show f(g(x)) = g(f(x)) = x Find f(x) for the following functions: ...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: simplify. 2/3x - 9/2xy + 8/5xy - 5/6x answer is not -5y+183/30xy

A: LCD is LCM of 3x, 2xy,5xy and 6x.LCD= 30xyMake every fraction with denominator 30xy.

Q: Determine whether the function is a polynomial function. R(x) =  8 x  + 6 polynomialnot a...

A: Given:

Q: Complete the table for a savings account in which interest is compounded continuously. (Round your a...

A: Given that P = $250, A = $335.21, t = 14 yrs.

Q: Solve the system by elimination. First, clear the denominators.  7x/2 + 7y/3 = 161/6 x/4 + y/3 = 37/...

A: The given equations are,