Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.


Card A
Card B
Amount
$1,389.47
$1,065.32
APR
16%
12%
Monthly Payment
$39.38
$28.05

After 4 years, approximately how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,890.24
b.
$133.92
c.
$543.84
d.
$1,346.40

ANSWER IS B

Answer:

66 necklaces

Step-by-step explanation:

First determine how many beads Ava has

40 * 100 = 4000

Then divide by the number of beads per necklace

4000/60 =66.66666

Round down for complete necklaces

66 necklaces

Answer:

B.

Step-by-step explanation:

Using Pythagoras theorem

c² = a²+b²

Where c = hypotenuse, a = base and b = perpendicular

So putting the givens

c² = (2√5)² + (6)²

c² = 20+36

c² = 56

Taking square root on both sides, we get

c = √2×2×14

c = 2√14

Answer:

490.1

Step-by-step explanation:

A=2πrh+2πr2=2·π·6·7+2·π·62≈490.08845

Answer: A rectangle

Step-by-step explanation:

Answer:

I18 - xI such that x < 18.

ok, first let's what happens if x = 18:

I18 - xI = I18 - 18I = 0

So, at the moment we have the condition:

I18 - xI > 0.

now, if x is a really large negative number, suppose, x = -100

I18 + 100I = I118I = 118

So, as x can freely move in the negative range, we can see that I18 - xI can be any positive number, so the only restriction that we have is:

I18 - xI > 0.

This means that the domain is:

D = (-∞, 18)

and the range is:

R = (0, ∞)

Answer:

x=19/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x+5)=2(3x−2)

3x+15=6x+−4

3x+15=6x−4

Step 2: Subtract 6x from both sides.

3x+15−6x=6x−4−6x

−3x+15=−4

Step 3: Subtract 15 from both sides.

−3x+15−15=−4−15

−3x=−19

Step 4: Divide both sides by -3.

−3x

−3

=−19−3

x=19/3

Answer:

Ah! Thank you for a little challenge!

Step-by-step explanation:

To do this, we need to first find our new lengths!

Height= [tex]50+x[/tex]

Radius= [tex]20+x[/tex]

Now, to find the Volume!

Using the volume formula for a cylinder(v=pi*r^2*h)

[tex]v=\pi(20+x)^{2} (50+x)[/tex]

So, we have our equation! let's solve!

[tex]V=\pi*(x^{2}+40x+400)(50+x)\\V=\pi(x^{3} +90x^{2}+2400x+20000)[/tex]

Now, I'm guessing you had trouble with it because it looked really scary.

So what I did in the first step was expand (20+x)^2, and I used the special formula(forgot what else it was called, (a+b)^2=a^2+2ab+b^2)

Next, I multiplied the expand form of that with (50+x), and the way to do that is by multiplying each term in the parentheses with every term in the next parentheses(distributive property).

So, uh, that's it! Not very scary, just a bit of in-head math!

Hope this helps! If you want to learn more or need more help, check out Khan Academy for the "squares of binomials" or "polynomials"

Answer:

c = 27

Step-by-step explanation:

If c divided by 9 equals to 3, then the other way around would be 3 times 9 equals to c, which is how you would get 27. If you look at PEMDAS, multiplication and division are together and work the other way around when used with each other, just like addition and subtraction.

I know this is kind of a lame answer with no fancy math words to back it but please, it's the best I could do.

Answer: m∠3 = 30° and  m∠8=  150°  .

Step-by-step explanation:

From the given figure it can be seen that a and b are two parallel lines, where t is transversal intersecting them.

Also, m∠3=x,  m∠8=5x

To find : m∠3, m∠8

Since ∠3=∠5 [Interior alternate angles]

So, m∠5 =m∠3= x

Also, ∠5+∠8=180°  [Linear pair]

⇒ x + 5x = 180°   [Substituted the value of ∠5 and ∠8 in terms of x ]

⇒ 6x = 180°

⇒ x = 30° [Divide both sides by 6]

That means,

m∠3 = 30°

and m∠8= 5(30° ) = 150°

Hence, m∠3 = 30° and  m∠8=  150°  .

Answer:

I think the correct answer is

A. (-2)

Step-by-step explanation:

This answer seems the most reasonable compared to the others

Hope this helps!

Answer: (-2)

Step-by-step explanation: The international standard symbol for inch is in (see ISO 31-1, Annex A) but traditionally the distance is denoted by a double prime, which is often approximated by double quotes, and the foot by a prime, which is often approximated by an apostrophe. For example, three feet two inches can be written as 3′ 2″. Symbol: in or ″ (the double prime)

HOPE IT HELPS!

Answer:

You sold 3 of your $19 paintings

Step-by-step explanation:

19x + 29 = 86

19x + 29 - 29 = 86 - 29

19x = 57

19x / 19 = 57 / 19

x = 3

Answer:

5 binders

Step-by-step explanation:

3 times 5 binders would be 15$, and since he paid with 20$, that is 5 dollars change

As an algbraic equation:

3x+5=20

3x=15

x=5

Answer:

d

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

one of the examples is [tex]\pi[/tex]

Answer:

Central angle of θ

[tex]\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}[/tex]

[tex]A=\dfrac{\theta r^2}{2}, (\theta$ in radians)[/tex]

Step-by-step explanation:

Suppose a sector of a circle with radius r has a central angle of θ.

Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the central angle of θ to the measure of a full rotation of the circle.

A full rotation of a circle is 2π radians.

This proportion can be written as:  [tex]\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}[/tex]

Multiply both sides by [tex]\pi r^2[/tex]

[tex]\dfrac{A}{\pi r^2} *\pi r^2=\dfrac{\theta}{2\pi}*\pi r^2[/tex]

Simplify to get:

[tex]A=\dfrac{\theta r^2}{2}[/tex]

Where θ is the measure of the central angle of the sector and r is the radius of the circle.

Answer:

Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the CENTRAL ANGLE to the measure of a full rotation of the circle. A full rotation of a circle is 2π radians. This proportion can be written as A/πr^2 =θ2π. Multiply both sides by πr2 and simplify to get A= θ/2 r^2 , where θ is the measure of the central angle of the sector and r is the radius of the circle.

Step-by-step explanation:

i hope this helps a bit

Answer:

[tex]a_{n}[/tex] = 100n - 112

Step-by-step explanation:

Given the recursive formula

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 100 with a₁ = - 12

This tells us that any term is found by adding 100 to the previous term

That is common difference d = 100 and a₁ = - 12

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d , thus

[tex]a_{n}[/tex] = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112

Answer:

100 = 100n - 112

Step-by-step explanation:

Answer:

D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2

Step-by-step explanation:

Lets clear the question first. We have been given 4 options:

A) π/2 , 330°, 5π/3, 7π/6, 2π/3

B) 5π/3, 7π/6 , 2π/3 , π/2 , 330°

C) π/2, 2π/3 , 7π/6, 5π/3, 330°

D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2

Lets convert all the values into degrees

330° = 330°

π/2 = 180/2 = 90°

5π/3 = 300°

7π/6 = 210°

2π/3 = 120°

Arrange them from greatest to lowest.

330° , 300° , 210° , 120° , 90°

or

330° , 5π/3 , 7π/6 , 2π/3 , π/2

which is option D

Answer:

1318.8 meters

Step-by-step explanation:

Answer:

(3y - 11z)2

Step-by-step explanation:

hahaha hello again

Step-by-step explanation:

(3y - 11z)(3y - 11z)

9y^2: 3y 3y

121z^2: 11z 11z

(3y - 11z)(3y - 11z)

9y^2 - 33yz - 33yz + 121z^2

9y^2 - 66yz + 121z^2

Answer:

You could only draw one triangle because the other side of the triangle can only be one value. This is because when the angle measure between two sides and the length of the sides is given, the length of the other side is fixed. This is also modeled by the SAS principle of congruence.

Answer:

Step-by-step explanation:

You can draw 2 triangles

Answer:

1.33 or 133/100

Step-by-step explanation:

formula=area of base x height x 1/3

A=2 x 2 x 1/3 or

A=2 x 2 / 3

A=4 / 3

A=1.33 or 133/100

Answer:

The answer is 4/3 ft^3

Step-by-step explanation:

The formula to find a pyramid is length times width times height divided by 3

Answer:

- 27

Step-by-step explanation:

To find the 8 th term substitute n = 8 into the formula, that is

a₈ = 45 - 9(8) = 45 - 72 = - 27

Angle a = 1/2 of the given central angle.

Angle a = 130/2= 65

The answer is 65

Answer:

It is d

Step-by-step explanation:

I did the test

Answer:

52

Step-by-step explanation:

Answer:

x= 12

Step-by-step explanation:

Please see attached picture for full solution.

Feel free to ask if you have any queries :)

Answer:

Step-by-step explanation:

Zeros mean basically the values of x which make y = 0.

(x + 4)(x - 1) = y

x^2 + 3x - 4 would be a quadratic function whose zeros are -4 and 1

Answer:

Okay buddy the answer is 63 because if you look at all the angles they are suppose to add up to 180 so with the line D and A the angles is 128 so the angle on the other side is 52 so 52 plus65 is 117 so then 180-117 is 63

Step-by-step explanation:

mark me branliest

Answer:

$0.17

Step-by-step explanation:

2.04/12=0.17

Please mark as Brainliest! :)

Have a nice day.

Answer: 0.17 for 1 pencil

Step-by-step explanation:

Attached the work.

Answer:

A. 6

E. -4

Step-by-step explanation:

x² - 2x - 24 = 0

x            - 6

x              4

(x - 6)(x + 4) = 0

Set each parenthesis equal to 0:

(x - 6) = 0

Isolate the variable, x. Add 6 to both sides;

x - 6 (+6) = 0 (+6)

x = 0 + 6

x = 6

(x + 4) = 0

Isolate the variable, x. Subtract 4 from both sides:

x + 4 (-4) = 0 (-4)

x = 0 - 4

x = -4

x = -4, 6 are your solutions, or A. &  E.

~

Answer:

[tex] \boxed{A. \: 6 \: \: \: and \: \: \: E. \: -4} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} - 2x - 24 = 0 \\ \\ = > {x}^{2} - (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} - 6x + 4x - 24 = 0 \\ \\ = > x(x - 6) + 4(x - 6) = 0 \\ \\ = > (x - 6)(x + 4) = 0 \\ \\ = > x - 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x + 4 = 0 \\ \\ = > x = 6 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x = - 4[/tex]