The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would take 45.4 months to reach $6000. If, on the other hand, the balance is growing exponentially, f(x)=700(1+0.096)x where x represents the number of months, what would the balance be after 45.4 months? Round your answer to the nearest cent.

Answers

Answer 1

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

[tex]f(x)=700(1+0.096)^{x}[/tex]

Compute the value of f (x) for x = 45.4 as follows:

[tex]f(x)=700(1+0.096)^{x}[/tex]

       [tex]=700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94[/tex]

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.


Related Questions

What is the solution to the equation? -16x=80

Answers

x = -5
Here the answer
:))

Answer:

x = -20

Step-by-step explanation:

just divide -4 into both sides

Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.

Answers

Answer:

24.99

Step-by-step explanation:

The price of the baseball bat is $24.99 :)

f(x) = - X2 + 6x - 11.

Answers

Answer:

×=11/4

Step-by-step explanation:

0=-2x+6x-11

0=4x-11

-4x=-11

x=11/4

12(4x -1/4x ) 2 + 5(4x-1/4x) - 2

solve it​

Answers

X= -28/17 =1.647
"1.5" was replaced by "(15/10)".

5*(4*x-(15/10)*x)+12-(4*x-2)=0

Simplify 3/2

3
((5 • (4x - (— • x))) + 12) - (4x - 2) = 0
2

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

Adding a whole to a fraction

Rewrite the whole as a fraction using 2 as the denominator

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator

Pull out like factors :

4x - 2 = 2 • (2x - 1)

When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

17x+28
—————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
17x+28 = 0

The formula for the area of a triangle is . Solve for b. Explain

Answers

Answer:

the formula for the area of a triangle is a= b*h/2

Step-by-step explanation:

area= base* height divided by two.

if a triangles base was 5 height was 4 the area would be 10units

5*4=20

20/2=10

I used a random example as the specific example was not listed in the question.

A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. How is the standard deviation of the sample mean changed when the sample size is increased from to ? Round all intermediate calculations to four decimal places (e.g. 12.3456) and round the final answer to three decimal places (e.g. 98.768).

Answers

Answer n=6

Step-by-step explanation:

What would be the range for {(-6, 4), (5, -1), (0, 3), (-2, 4)}

Answers

Answer: {4, -1, 3}

Explanation: The range is the set of all y-coordinates for our ordered pairs.

So the range for this relation is 4, -1, 3, 4.

Notice that we have two 4's as y-coordinates

but we only need to mention the 4 once.

So our range is {4, -1, 3}.

Need help ASAP!! Question in photo.

Answers

Answer:

SR is 17, using the side, angle, side rule of congruency.

Step-by-step explanation:

Triangle SRV is congruent to triangle STV, so SR would be equal to ST, which is 17. Since SV creates a right angle when it bisects RT, we know the they both share a right angle. We also know that the the side created by SV is the same for both. Since they told us that RV equals VT, we know that the triangles are congruent by the SAS (side angle side) rule. Hope this helps!

X2-6x-5
completing the square

Answers

(X-3)^2-14 that’s the answer

Thomas took three 100-point quizzes, and the mean score for the three quizzes was 87 points. If the highest score is taken away, the mean of the remaining two scores would be 83.5 points. If the lowest score is taken away, the mean of the remaining two scores would be 89 points. What is the highest score?

Answers

Answer:

The highest score is 94.

Step-by-step explanation:

Let the highest score be denoted by, A, the lowest score be, B and the middle score be X.

Then,

A + X + B = 87 × 3 = 261 ...(i)

X + B = 83.5 × 2 = 167 ...(ii)

⇒ B = 167 - X ...(iii)

A + X = 89 × 2 = 178 ...(iv)

⇒ A = 178 - X ...(v)

Substitute (iii) and (v) in (i) and solve for X as follows:

A + X + B = 261

178 - X + X + 167 - X = 261

345 - X = 261

X = 84

Substitute the value of X in (iii) and solve for B as follows:

B = 167 - X

   = 167 - 84

   = 83

Substitute the value of X in (v) and solve for A as follows:

A = 178 - X

   = 178 - 84

   = 94

Thus, the highest score is 94.

Turn this into numerical form -> one-half the sum of x and 12

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

Write the exponential equation for the given situation. A tennis tournament starts with 128 participants. Each round, half of the participants gets eliminated from the tournament

Answers

Answer:

y= 128(1-.5)^t

Step-by-step explanation:

The equation shows the cost, c, for a group attending a basketball game based on the number of people, p.How many people could attend for a cost of 100 dollars? c = 8p + 12​

Answers

Step-by-step explanation:

Read the note harder

Write an equation of the line that had a slope of -2 and passes through (4,-2)

Need help ASAP!!

Answers

Answer:

The equation is y = -2x + 6.

Step-by-step explanation:

Given that the slope-form equation is y = mx + b and the gradient is -2. So you have to find the value of b by substituting the coordinates into the equation :

[tex]y = mx + b[/tex]

[tex]let \: m = - 2,x = 4,y = - 2[/tex]

[tex] - 2 = - 2(4) + b[/tex]

[tex] - 2 = - 8 + b[/tex]

[tex]b = 6[/tex]

[tex]y = - 2x + 6[/tex]

PLEASE HELP MEEEEEE​

Answers

Answer:

Ok what you can try to do is multiply, then, subtract, add , or do division to see what you get. So try doing all of that then see what you're answer is.

Step-by-step explanation:

C. multiply 9 times 2= 18 x3 =54

Describe the transformation that occurs when:
g(x) = f(x) becomes g(x) = 8(f(x))

The graph will stretch vertically and horizontally

The graph will stretch vertically making it look thinner

The graph will not change

The graph will shrink vertically making it look fatter


Advance topics

Answers

Answer:

The graph is being stretched vertically, so it will be thinner.

Step-by-step explanation:

g(x) = 8f(x) means that you are multiplying each original y-value by 8, so the graph gets thinner. When there's a number n greater than 1 in front of the function, it's a vertical stretch by n.

x+3y=1 -3x-3y=-15 solve system of equations

Answers

im not sure if you want it in y=mx+b form but if that is the case then it would be y=-1/3x+1/3 and the other would be y=-x+5

What would i^7 be simplified to?

Answers

Answer:

-I

Step-by-step explanation:

it would be simplified to -1

The list price of a sofa is $2,525. The chain discount is 30/20. What is the final net price?

Answers

Answer:

1,414

Step-by-step explanation:

2,525 * ( 1 - 30% ) * ( 1 - 20%) = 2,525 *0.7*0.8 = 1,767.5 * 0.8 = 1,414

1414 there you go bud

The tables show the statistics of a running back in a football game did he gain more than 50 yards total? Explain .

Answers

Answer:

He gained more than 50 yards in the game.

Step-by-step explanation:

Running back in the first quarter in a football game = -8.5 yards

Running back in second quarter = 23 yards

Running back in 3rd quarter = 42.5 yards

Running back in 4th quarter = -2.25 yards

Total gain in the game = -8.5 + 23 + 42.5 - 2.25 = 54.75 yards

That means he gained more than 50 yards in the game.

Simplify√16 r6
A) 4r2
B) 4r3
C) 8r2
D) 8r3

Answers

Answer:

B) [tex]4r^{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]

          [tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]

Answer:

B)  4r3

Step-by-step explanation:

Hope this helps.

What is the purpose of the AutoSum feature in Microsoft® Excel? A. To automatically add all numbers in all cells in a workbook B. To add a list of numbers in a spreadsheet C. To put a list of numbers in order before finding the sum D. To estimate the total of a list of numbers

Answers

Answer:

B. To add a list of numbers in a spreadsheet

Step-by-step explanation:

AutoSum feature in Microsoft Excel is used to automatically sum up a range of numbers within a horizontal row or vertical column without having to input a formula.

When a range of numbers are selected within a row or column, clicking on AutoSum will sum up the numbers in the adjacent empty cell. For example, if you wanted to add the values of cells between B1 and B10, highlight cells B1 through B10 and click the AutoSum button . The sum of B1 to B10 will be given in B11.

In Excel 2010 and later, the AutoSum feature is on the Home tab, in the Editing section.

PLZ I WILL GIVE BRAILIEST TO THE FIRST ANSWER
I'm too tired to do this
Which has the greatest value?
A. -3 +-4 – (-2)
B. -3 – (-4) - (-2)
C. -3 + (-4) – 2
D. -3 – (-4)-2

Answers

Option B is the correct answer.

3 is greater than -5, -9, and -1.

Hint: Remember to distribute the negative when solving. A negative directly outside outside of and to the left the parenthesis times a negative number inside the parenthesis makes that number positive.

So for option B, you can simplify it to -3 +4 +2. And that equals 3.

A) -3+-4-(-2) = -5

B) -3-(-4)-(-2) = 3

C) -3+(-4)-2 = -9

D) -3-(-4)-2 = -1

pls help ASAP !

A : 10/360
B : 1/12 1
C : 1/12 12
D : 10/360 36

Answers

Answer:

i think its A

Step-by-step explanation:

D because 360 divided by 10 equals 36

PLEASE HELP HELP HELP! !!!!!

Answers

Answer:

x = [tex]\frac{2y}{5}[/tex]

Step-by-step explanation:

Given

5x = 2y ( isolate x by dividing both sides by 5 )

x = [tex]\frac{2y}{5}[/tex]

Xander goes to the movies with his soccer team. Each team member buys a ticket and two

boxes of popcorn. There are 13 team members.

Let t represent the cost of a ticket and p represent the cost of a box of popcorn.

a) Write two different expressions that represent the total amount the team spent.

b) Explain how each expression describes the situation in a different way.

Answers

Given that, the cost of a ticket = t and

cost of a box of popcorn =  p.

Total members in the team = 13

As each team member buys 1 ticket and 2  boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]

So, the total amount that the team spent [tex]= 13C_1[/tex]

(a) So, the first expression, representing the total amount spent by the team, is

[tex]13\times (t+2p)\cdots(i)[/tex]

On simplification, the second expression, representing the total amount spent by the team, is

[tex]13\timest + 13\times (2p)[/tex]

[tex]=13t+26p\cdots(ii)[/tex]

(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn

Simplify.
12(3x + 5y) plzzz answer fast

Answers

Answer:

36x + 60y

explanation:

Answer:

36 x + 60 y

Step-by-step explanation:

If your in FLVS you understand how I feel when I have to do a DBA. If not why did you answer my que?

BRAINLIEST FOR FLVS

Answers

Answer:

Dont you hate when you have to look through the notes and the teachers get impatient but its not your fault the teacher gives you all the notes to take.

Step-by-step explanation:

Is it just me?

{3x^2-4x-1} - {5-2x+x^2 help

Answers

6²[tex]x[/tex]−10

Step-by-step explanation:

wow-

Determine the slope given the 2 points: (-4, 5) and (2, -3). m

Answers

Answer:

-8/6

Step-by-step explanation:

To solve this you subtract y2-y1 and x2-x1. Then you divide these numbers. -3-5=-8. 2--4=6. This makes the answer -8/6.

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