Dennis has a credit card with an APR of 13.09% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of November.

If the finance charge for November is $4.93, which method of calculating the finance charge does Dennis’s credit card company use?

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

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We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Answer:

4 books

Step-by-step explanation:

$3.80 divided by 95cents = 4

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

Answer:

$336

Step-by-step explanation:

420 x 0.2 = 84

420 - 84 = 336

Answer:

the answer is going to be $336

Answer:

72

Step-by-step explanation:

3×(8×9/3=X1/3) then 8×9=X, then X=72

Answer:

1/6561x³ or 6561x⁻³

Step-by-step explanation:

(3x)²/(9x)⁵

(3²)(x²)/(9⁵)(x⁵)

9x²/59049x⁵

9/59049x³

1/6561x³ or 6561x⁻³

Answer:

im looking for the same one :(

Step-by-step explanation:

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Answer:

im sorry

Step-by-step explanation:

i need points or else i fail

Answer:

[tex]\approx 11.2\:\mathrm{in}[/tex]

Step-by-step explanation:

The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by [tex]2r\pi\cdot \frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle of the arc.

In this problem, we're given:

[tex]\theta = 40^{\circ},\\r=16[/tex]

Substituting given values, we get:

[tex]2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}[/tex]

Answer:

Height = 6 feet

Step-by-step explanation:

Given the following data;

Base area = 25½ ft²

Volume = 153 ft³

To find the height of the right rectangular prism;

Mathematically, the volume of a right rectangular prism is given by the formula;

Volume = base area * height

Substituting into the formula, we have;

153 = 25½ * height

153 = 51/2 * height

Cross-multiplying, we have;

306 = 51 * height

Height = 306/51

Height = 6 feet

Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

For this case, we're provided that:

Let the length and width of the prism be L ft and W ft

Let the heigth of the prism be H ft

Then, we get:

Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]

Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.

Learn more about volume of a right rectangular prism here:

https://brainly.com/question/21308574

Answer:

the answer is 82.8

Step-by-step explanation:

Answer:

4x^2 B

-4x^2 A

1/4x^2 D

-1/4x^2 C

Step-by-step explanation:

1. Look at the concavity

    up or down = negative or positive.

2. number before the x value

if N < 1, it will be wider.     if N > 1, it will be thinner.

3. the two most right graphs would be -1/4x^2 and 1/4x^2

the one that is concave down is the - and the concave up is +

24% (24/100)

Got answer by adding all of them together and dividing by 20

Answer:

10/41

Step-by-step explanation:

Answer:

f(x)= x(x+2)(x-1)(x-2)

Step-by-step explanation:

before taking the zeros each zeros were in the forrm

x+a=0 where 'a' is any number

then after taking the zeros, the zeros were in the form x=0 x=2 x=1

so we are gonna take then back to the form before taking the zeros

Answer:

move the line up one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

24/47

you have to added up 10 and 14

Answer:

you would have to add them together

Step-by-step explanation:

you add 9pi cm^2 to 1/4

hop this helps kid

Answer:

The radius is 199.85 cm^3

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

[tex]9^{5}[/tex] × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

[tex]9^{5}[/tex] × 4³

Answer:

x ≤ 6

Step-by-step explanation:

Cost of fish = $8

You can spend at most ​$48

How many of these fish can you​ buy?

Let

x = number of fishes you can buy

The inequality is

8x ≤ 48

Divide both sides by 8

x ≤ 48/8

x ≤ 6

Answer:

50%

Step-by-step explanation:

because it is a two side coin

Answer:

I think the second answer

Step-by-step explanation:

I'm late but it's the second answer!

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation: