They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to operate. They found a new fridge that costs $1,050 to purchase and would cost only around $6 a month in electricity charges.

The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.

If they keep their old fridge, then they assume they will need to pay around $220 sometime over the next 10 years in maintenance costs to keep it running.

(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)



Let x represent the number of months. Let y represent total cost in dollars.

Step 3: Apply Quantitative Tools

Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.

Create functions that describe the total cost in dollars for each fridge.

New Fridge Total Cost Function

Answer:

It would be D. (-14)+(-8)

Step-by-step explanation:

It is D. Because when you add -8 and -14 you would get the answer -22

Hope this helps!

Answer:

m4 = 90 - x

m1 = 90 - x

m5 = 90 + x

Step-by-step explanation:

m4 = 90 - x

m1 = 90 - x

m5 = 180 - (90 - x)

m5 = 90 + x

Answer:

.........

Step-by-step explanation:

10/7 x 1/4

10x1/7x4

10/7x4

10/28

5/14

Hope I helped

5/14 is your answer

Answer:

a, b, c

25x4 + 40x − 40x − 64, 25x4 + 13x − 13x − 64, (5x2 + 8)(5x2 − 8)

Step-by-step explanation:

The expressions that are equivalent to 25x⁴ - 64 are; Options A, B and C

We want to find the expression equal to 25x⁴ - 64

A) 25x⁴ + 40x − 40x − 64 = 25x⁴ - 64

B) 25x⁴ + 13x − 13x − 64 = 25x⁴ - 64

C) (5x² + 8)(5x² - 8)

Expanding the bracket gives;

⇒ 25x⁴ - 64

D) (x² + 13)(x² - 13)

Expanding the bracket gives;

⇒ x⁴ - 169

E) (5x² - 8)²

Expanding the bracket gives;

⇒ 25x⁴ - 5x² + 64

Looking at all the answers, only options A, B and C are correct

Read more about simplification of Algebra at; https://brainly.com/question/723406

Answer:

the third option

Step-by-step explanation:

by shifting it up 3, you just add 3 to -7 which is -4

by shrinking it a factor of 1/2, you multiply -2 by 1/2 which is -1

Answer:

500

hope this helps

Answer:

C. 0.625%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5 divided by 8 is .625

Answer:

12.25 and 12.6 per hour

Step-by-step explanation:

For number 2, you take the amount of cookies, x, and divide it by the number of hours, a, and you get x / a = 12.25 or 12.6

For number 3, you do the same as in number 2, you take the pages read, x, divided by the time, a, and get x / a = s

s = 2 and 0.5

Answer:

d

Step-by-step explanation:

Answer:

the answer for your question is B.

Answer:370mm^3

Step-by-step explanation:

You would first find the area of the whole rectangle without the hole, so (15)(30)=450

Next find the area of the hole, (8)(10)=80

To find the area you must subtract the area of the hole from the rectangle.

450-80=370

Answer:

1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

According to my knowledge the country that had a government in the 1930s and early 1940s that was autocratic was Germany (4).

Answer:

[tex]\frac{31}{45}x[/tex]

__________________________________________________________

Step-by-step explanation:

We are given:

3[tex]\frac{1}{5}x[/tex] + 10[tex]\frac{7}{9}x[/tex] - 2[tex]\frac{2}{5}x[/tex] - 10[tex]\frac{8}{9}x[/tex]

Concepts used:

Evaluating Mixed fractions and Adding like terms

Simplifying the Mixed Fractions:

to simplify these mixed fractions, we will multiply the whole number part with the fraction's denominator and add that to the numerator.

The number formed will be given the same denominator as of the fraction part in the number

After simplifying these mixed fraction, we get:

[tex]\frac{16}{5}x + \frac{97}{9}x - \frac{12}{5}x - \frac{98}{9}x[/tex]

Adding and Subtracting the like terms:

to simplify our calculations, we will pair the numbers with the same denominator

[tex](\frac{16}{5}x - \frac{12}{5}x) + (\frac{97}{9}x - \frac{98}{9}x)[/tex]

Simplifying the terms in the brackets

[tex]\frac{4}{5}x - \frac{1}{9}x[/tex]

Taking the LCM and simplifying

[tex]\frac{36}{45}x - \frac{5}{45}x[/tex]

Since the denominators are equal, the numerators can now be subtracted

[tex]\frac{31}{45}x[/tex]

Therefore, simplifying the given series of number gives us 31x/45

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

3o+2a =$45 is the  equation in standard form modeling this situation.

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

IYEs

Step-by-step explanation:

YEs

Answer:

Step-by-step explanation:

1 metre = 0.01 hectometre

240 metre = 2.4 hectometre

30% = 0.30

0.30x = 12

Divide both sides by 0.30

X = 12/0.30

X = 40

Answer:

x=40

Step-by-step explanation:

30% is the same as 3/10.

-So now you have 3/10 of x = 12.

The term “of” in the equation is the same as multiplication.

-So now you have 3/10 · x = 12 (the dot is multiplication)

Multiply both sides by the reciprocal of 3/10, which is 10/3

-So now you have x=120/3, which is equal to x=40 (that’s you answer)

You can check your answer by plugging in 40 for x.

30% of 40 is indeed equal to 12.

Hope this helps and answers your question :)

Answer:

slope is 1/2

y intercept is (0, -92)(9,0)

Step-by-step explanation:

Given:

The figure.

To find:

The theorems that proves triangles SRP and QRP are congruent.

Solution:

From the given figure, it is clear that in triangle SRP and QRP,

Hypotenuse of triangles : [tex]PS=PQ[/tex]             (Given)

Legs of triangles : [tex]SR=QR[/tex]             (Given)

Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.

[tex]\Delta SRP\cong \Delta QRP[/tex]            (HL postulate of congruence)

Therefore, the correct option is E .

Answer:Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.

Jeremy's equation

y= 35x

m=35

Answer:18

f(x) = 5x - 2

=> f(4) = 5.4 - 2 = 20 - 2 = 18

Step-by-step explanation:

Answer:

18 hope it will help you

B) 30

Step-by-step explanation:

i hope this helps :)

Answer:

2 1/6

Step-by-step explanation:

find common denominator: 12

11/12

1/2=6/12

3/4=9/12

add:

11/12+6/12+9/12=26/12

simplify:

26/12=13/6=2 1/6

hopefully this helps :)

Answer:

2700

Step-by-step explanation:

9x20x15= 2700

Answer:

[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]

[tex] x = 8.7 ft [/tex]

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]

Solve for x

[tex] 14.89 + x = 23.59 [/tex]

Subtract 14.89 from each side

[tex] 14.89 + x - 14.89 = 23.59 - 14.89 [/tex]

✔️[tex] x = 8.7 ft [/tex]

Answers:

Monthly gross pay =  $7650.68

Annual gross pay = $91808.16

Explanation:

To get the monthly gross pay, you double the semi-monthly gross pay. In other words, you multiply by 2.

Once you know how much you earn per month, you multiply that by 12 to get your annual pay.

The term "gross" in financial terms means the amount of money before taxes and other fees apply. The net pay is after taxes and other fees are deducted from your paycheck. This means the net pay is going to be smaller than the gross pay.