A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save
by paying off a credit card debt of $5,000 at the end of 1 year instead of at the end of 3 years?

Answer:

y = -3x + 0

and

y = -6x + 0

Step-by-step explanation:

I think this is correct we're currently working on slope in my class.

Answer:

Looks like rotation to me‍♀️

Answer:

[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]

☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ [tex] \underline{ \text{Given :}}[/tex]

☪ [tex] \underline{ \text{To \: Find} : }[/tex]

☪ [tex] \underline{ \text{Solution}} : [/tex]

❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]

↦ [tex] \sf{4 \times (x + 1)}[/tex]

↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~ [tex] \text{TheAnimeGirl}[/tex] ♪

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Answer:

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

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Step-by-step explanation:

Taking two points from the given line

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-0}{-3-3}[/tex]

[tex]m=\frac{1}{3}[/tex]

From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.

at x = 0, y=-1

Thus, the y-intercept = -1

We know that the slope-intercept form is

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

where m is the slope, and b is the y-intercept

substituting the values of m=1/3 and the y-intercept b = -1

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

[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Answer:

2.98

Step-by-step explanation:

Answer:

x = 2.26

Step-by-step explanation:

Answer:

It was 14 miles from the hotel to the airport.

Step-by-step explanation:

From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:

t=7+2.50x, where:

t is the taxi fair

x is the number of miles

Now, you can replace t with 42  and solve for x to find the miles:

42=7+2.50x

42-7=2.50x

35=2.50x

x=35/2.50

x=14

According to this, the answer is that it was 14 miles from the hotel to the airport.

Answer:

The original number is 572.

Step-by-step explanation:

Let the 3 digit number by xyz.

Where x is the hundreds digit, y is the tens digit and z is the units digit.

Hence, the digit is (100x + 10y + z).

From the question, the tens digit equals to the sum of the hundreds digit and the units digit.

That is,

y = x + z ...... (1)

Also, from the question, the hundreds digit of this number is 3 more than the units digit.

That is,

x = z + 3 ...... (2)

Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number

If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).

the new number is 11 less than half of the original number

That is,

(100z + 10y + x) + 11 = 1/2(100x + 10y + z)

This becomes

200z + 20y + 2x + 22 = 100x + 10y + z

200z - z +20y -10y +2x - 100x = -22

199z + 10y -98x = -22 ...... (3)

Solving the equations simultaneously,

Put the value of x in equation (2) into equation (1)

x = z + 3 ...... (2)

y = x + z ...... (1)

That is,

y = (z+3) + z

y = 2z + 3 ...... (4)

Put the value of y in equation (4) into equation (3)

199z + 10y -98x = -22

199z + 10(2z +3) -98x = -22

199z + 20z + 30 -98x = -22

219z -98x = -22-30

219z -98x = -52 ...... (6)

Put the value of x in equation (2) into equation (6)

219z -98(z+3) = -52

219z -98z -294 = -52

121z = -52 + 294

121z= 242

z = 242/121

∴ z = 2

Put the value of z into equation (2)

x = z + 3

x = 2 + 3

∴ x = 5

Put the values of z and x into equation (1)

y = x + z

y = 5 + 2

∴ y = 7

Hence, x = 5, y = 7 and z = 2.

Recall that the original number is 100x + 10y + z.

100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572

Hence, the original number is 572.

Answer: Its C

Step-by-step explanation:

Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.

2/3 is closer to 1 and 1/5 is closer to 0

Answer:

0

Step-by-step explanation:

−2−(−4)−2

=2−2

=0

Answer:

Step-by-step explanation:

-2 - (-4) - 2   = -2 + 4 - 2

                    = -4 + 4

                   = 0

Hint : -(-4) = 4

Answer:

d. y=2x-8

b. y=3/4x-1 & y=-4/3x+9

Step-by-step explanation:

I used desmos and put in all of the answer options to see which one worked the best.

Answer:

82 units

Step-by-step explanation:

From the image, we can see that the 2 triangles are similar triangles.

Thus:

BC = EF

BD = EG

CD = FG

Now, BD = 4x - 9 and EG = 2x + 15

Thus;

4x - 9 = 2x + 15

4x - 2x = 15 + 9

2x = 24

x = 24/2

x = 12

Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39

Also, EF = BC = 17

FG = 26

Thus, perimeter of triangle EFG is;

P = 26 + 17 + 39

P = 82 units

Answer:

the answer is 250

Step-by-step explanation:

Answer:

10.036

Step-by-step explanation:

Remark

Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).

At the point (0,50) draw a horizontal line to (200,50)

Join the point (200,50) to (0,0)

What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.

That angle is the same as the angle of elevation.

The horizontal line is 200 feet.

The vertical line is 50 feet

Formula

Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25

Solution

tan-1(0.25) = 14.036

Conclusion

The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation.  so the angle you found and the angle of elevation are the 2 angles defined by the z.

Answer:

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

Answer:

The amount of water draining at a rate of 2.5 gallons per minute. I hope you do good on your test good luck! :)))

Step-by-step explanation:

Answer:

Ex 1. y= -5.00x + 18.00   Ex 2. y= 0.50x + -1.00

Step-by-step explanation:

(results are in decimal form, rounded to the nearest 100th)

Answer:

Slope is -12

Step-by-step explanation:

change of y/change of x = -12

Answer:

-4

Step-by-step explanation:

(-19 + 7)/(1 + 2) = -12/3 = -4

she made 1300 biscuits

Answer:

x = 10 inches

Step-by-step explanation:

P = 2 x (L + W)

36 inches = 2 x (8 + W)

36 = 16 + 2W

2W = 20

W = 10 inches

Answer:

12cm

Step-by-step explanation:

pythagorean theorem!

a^2 + b^2 = c^2

7^2 + b^2 = 13^2

49 + b^2 = 169

49 - 49 + b^2 = 169 - 49 (whatever you do to one side, you do to the other side)

b^2 = 147 (square root)

= 12cm

Answer: its in the pic

Step-by-step explanation:

Answer:

for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is [tex](2,1,0)[/tex].

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

[tex]3x+3y+6z=9[/tex]    [tex](i)[/tex]

[tex]x+3y+2z=5[/tex]    [tex](ii)[/tex]

[tex]3x+12y+12z=18[/tex]  [tex](iii)[/tex]

To find the solution to the above give algebraic equations,

We have to find values of [tex]x,y,z[/tex].

So,

We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],

[tex]3x+3y+6(0)=9[/tex]

[tex]3x+3y=9[/tex]    [tex](iv)[/tex]

Now,

We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],

[tex]x+3y+2(0)=5[/tex]

[tex]x+3y=5[/tex]  

[tex]x=5-3y[/tex]    [tex](v)[/tex]

Using equation [tex](iv)[/tex] & [tex](v)[/tex],

We get,

[tex]3(5-3y) +3y=9[/tex]

[tex]15-9y+3y=9[/tex]

[tex]-6y=-6[/tex]

[tex]y=1[/tex],

Now we have value of  [tex]y=1[/tex], putting this value in equation  [tex](v)[/tex],

[tex]x=5-3(1)[/tex]

[tex]x=2[/tex],

Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.

To learn more about algebra click here

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Answer: I personally think it's true but I am not for sure

Step-by-step explanation: