Nick used his credit card to make several large purchases, and now owes the credit card company $4,273 plus 32% interest. His mother gave him $500 for his birthday. Which is the most responsible choice he can make regarding his birthday money?

A.
He can use all the money to pay down his credit card debt.

B.
He can invest $200 in the stock market and pay down his credit card debt with the rest.

C.
He can put $250 into a savings account that pays 3.8% interest and pay down his credit card debt with the rest.

D.
He can put all the birthday money in the 3.8% savings account.

Answer:

y=-2x-6

Step-by-step explanation:

You put the slope before the x and the y intercept goes at the end.

Answer:

Step-by-step explanation: to solve this we'd do 2-(-5) which is the same as  2 + 5 which is 7. final answer is 7/3 or if its a mixed number, 2 1/3

Answer:

3

Step-by-step explanation:

6-3=3

8-5=3

so that is the answer

Answer:

y = 1/3x + 10/3

Step-by-step explanation:

Slope: 1/3

Point (-4,2)

b = 2 - (1/3)(-4) = 10/3

Answer:

x= -2

TO MUCH STEPS

The rate of change is also known as the slope or rise / run.

Slope Formula: (y2 - y1) / (x2 - x1)

First, we'll need two points that are on the line. You can choose any two points you want, as long as they are on the line.

Point 1 = (0, 1)

Point 2 = (-2, -3)

Then, we'll plug the two points into the formula and solve for the slope.

(-3 - 1) / (-2 - 0)

(-4) / (-2)

2

The rate of change of this line is 2.

Hope this helps!! :)

Answer: the rate of change is 2

Step-by-step explanation:

Answer:

Jon is now 10% faster.

Step-by-step explanation:

Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1

10% is the percent form of 0.1

Answer:

21

Step-by-step explanation:

for the 42.

21×2=42

t t t t t t. t tt. t t t. r r r 4 4 4. r r r t t t t t t t t r r r r r r t. tt t t f f. re enne e r r r

Answer:

Step-by-step explanation:

Answer:

4x² - 6x

Step-by-step explanation:

2x(2x - 3)

Distribute 2x into the parenthesis:

2x(2x - 3)  = 4x² - 6x

Answer: Choice A

========================================================

Explanation:

A perfect square trinomial is of the form

(m+n)^2 = m^2 + 2mn + n^2

We can see why this works through use of the FOIL rule.

So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.

Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.

This leaves choice A. We can do a bit of trial and error to find that

(x-2)^2 = x^2 - 4x + 4

showing that choice A is a perfect square trinomial.

Answer:

A) x² - 4x + 4

Step-by-step explanation:

Given the following special factoring formulas on perfect square trinomials:

u² + 2uv + v² = (u + v)²

u² - 2uv + v² = (u - v)²

Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.

To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.

In Option A: x² - 4x + 4

Right off the bat, it seems like the difference of squares may apply to this equation.  You must find the factors that will product of 4 and a sum of -4.

The possible factors are:

product uv: -2 × -2  = 4,

sum v :  -2 + -2 = -4

Hence, the binomial factor of x² - 4x + 4 =  (x - 2)²

If you expand this binomial through FOIL method:

(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4

This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².

Therefore, the correct answer is Option A) x² - 4x + 4.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

[tex](\frac{5}{2}, 2)[/tex]

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x + y = 7

2x - 3y = -1

And we want to find the solution

There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one

Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0

We can multiply the equations beforehand if needed in order to manipulate the numbers.

For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:

-1(2x-3y=-1)

-2x+3y=1

Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:

2x + y = 7

-2x + 3y = 1

Add the equations together

4y = 8

Divide both sides by 4

y=2

Now let's use 2 as y to solve for x

In the first equation, substitute 2 for y:

2x + 2 = 7

Subtract 2 from both sides

2x = 5

Divide both sides by 2

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

As a point, the answer is [tex](\frac{5}{2}, 2)[/tex]

Hope this helps!

Answer:

x=15,y=12

Step-by-step explanation:

Alternate angles are those angles that are on the opposite side of the parallel lines transverse with a line touching both parallel lines.

The value of x and y are 15 and 12.

x = 15

y = 12

Option A is the correct answer.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure contains four angles.

62 and (4x + 2) are alternate angles.

12y and 144 are alternate angles.

We know that alternate angles are equal.

So,

62 = 4x + 2 ____(1)

12y = 144 _____(2)

From (1) we get,

62 = 4x + 2

Subtract 2 on both sides.

62 - 2 = 4x + 2 - 2

60 = 4x

Divide both sides by 4.

4x = 60

x = 60/4

x = 15

From (2)

12y = 144

Divide both sides by 12.

y = 144/12

y = 12

Thus,

The value of x and y are 15 and 12.

x = 15

y = 12

Option A is the correct answer.

Learn more about corresponding angles here:

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Answer:

Step-by-step explanation:

Answer: its graph C!, I got it right

Answer:

-9 degrees

Step-by-step explanation:

workings -3 * 3 =  -9 degrees

Answer:

The 52 square inches of purple paint will Lisa use to paint her letter L, If she plans to paint all sides of it purple, including the base, the longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches and the shorter piece of wood has dimensions of 3 inches by 1 inch by 1 inch.

Step-by-step explanation: The given is, Lisa glued two pieces of wood together to make the letter L The longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches.

2² × 23

Step-by-step explanation:

92 = 2 × 46

92 = 2 × 2 × 23

92 = 2² × 23

Answer:

about 32 books (rounded)

Step-by-step explanation:

1412/135=32

Step-by-step explanation:

20 - 12 = 8 so he spent 8$ in 4 days.

8 ÷ 4 = 2, so he spent 2$ each day

The rate of Jaman spending money every day will be $2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jamal's parents give him $20 to spend at camp. Jamal spends the same amount of money on snacks each day. After 4 days he has $12 left .

The rate of spending money every day will be calculated as,

Spending in 4 days, 20 - 12 =$8

Rate of spending  = 8 ÷ 4 = $2

Therefore, the rate of Jaman spending money every day will be $2.

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Answer:

greatest (2, 13/15, -0.75, -2) least

Step-by-step explanation:

Answer:

1/2(7.9-0.08) = 3.91

Step-by-step explanation:

So you know that all the angles in a triangle must add up to 180. Therefore, you can make this equation:

[tex](-20x+3)+(-40x+18)+(-15x+9)=180[/tex]

And now just solve for x!

[tex]-75x+30=180\\-75x=160\\x=\frac{160}{-75}\\x=-2.4[/tex]

So, your answer is:

x = -2.4

Answer:-3/2

Step-by-step explanation: transform the expression from 3/4+-9/4 to 3-9/4=-6/4 then reduce 6/4 to -3/2

Answer:

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.  

Answer:

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.  

Step-by-step explanation:

Answer:

x = 5, -5

Step-by-step explanation:

17+x^2=42

-17        -17

x^2 = 25

x = + or - root of 25

x = 5,-5