An employee works as a teacher at an online school making $38,900 per year. However, the school is hiring a principal at a salary of $59,500 per year.

The employee went back to school to become a principal.

How much more money could the employee make working as a principal instead of a teacher over 5 years?

Enter your answer in the box

Answer:

no

Step-by-step explanation:

3x−2+x+8=−9x−7

4x+6=−9x−7

4x+6+9x=−7

13x+6=−7

13x=−13

x=−1

The volume of a box is the amount of space in the box

The dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

The dimensions of the box are:

Width = x

Depth = y

So, the volume (V) is:

[tex]V = x^2y[/tex]

The volume is given as 64 cubic inches.

So, we have:

[tex]x^2y = 64[/tex]

Make y the subject

[tex]y = \frac{64}{x^2}[/tex]

The surface area of the box is calculated as:

[tex]A =x^2 + 4xy[/tex]

The cost is:

[tex]C = 2x^2 + 4xy[/tex] --- the base is twice as expensive as the sides

Substitute [tex]y = \frac{64}{x^2}[/tex]

[tex]C = 2x^2 + 4x * \frac{64}{x^2}[/tex]

[tex]C =2x^2 + \frac{256}{x}[/tex]

Differentiate

[tex]C' =4x - \frac{256}{x^2}[/tex]

Set to 0

[tex]4x - \frac{256}{x^2} = 0[/tex]

Multiply through by x^2

[tex]4x^3 - 256= 0[/tex]

Divide through by 4

[tex]x^3 - 64= 0[/tex]

Add 64 to both sides

[tex]x^3 = 64[/tex]

Take the cube roots of both sides

[tex]x = 4[/tex]

Recall that:

[tex]y = \frac{64}{x^2}[/tex]

So, we have:

[tex]y = \frac{64}{4^2}[/tex]

[tex]y = 4[/tex]

Hence, the dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

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Answer:

Step-by-step explanation:

1399 rounds to 1400 so A is not the answer

1449 rounds to 1400 so B is not the answer

1589 rounds to 1600 so D is not the answer

The hundreds place is second from the left. Third from the left determines what happens to second from the left. 5 and over round up. Less than 5 just use the first 2 digits left and 2 zeros.

The answer is C

1457 rounds to 1500

1547 rounds to 1500

Answer:

Explanation:

collect variables:

simplify:

final answer:

Answer:

V = [tex]\frac{400}{3}[/tex][tex]\pi[/tex]

Step-by-step explanation:

Volume of a cone is:

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Substitute values given:

[tex]V = \pi (5^{2} )(\frac{16}{3})[/tex]

[tex]V = \pi (25)(\frac{16}{3} )[/tex]

V = [tex]\pi \frac{400}{3}[/tex]

V = [tex]\frac{400}{3}[/tex][tex]\pi[/tex]

Answer:

385,000

Step-by-step explanation:

Answer:

A. 9

Explanation:

2×4=8 and 8+1=9 so that's it.

Step-by-step explanation:

1. The y-intercept is the value for y when x = 0.

When x = 0, y equals 7.

Represented as:

(0, 7)

2. How to find the Slope?

Find 2 points on the graph then use the slope formula.

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

[tex] \frac{3}{2} - \frac{7}{0} = m[/tex]

Subtract:

[tex] \frac{ - 4}{2} = m[/tex]

[tex] \frac{ - 4}{2} = m[/tex]Simplify:

[tex] \frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1} [/tex]

The slope is -2.

Forming an equation:

Use the slope-intercept format.

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

m = slope

b = y-intercept

Substitute 7 for b, and -2 for m.

[tex]y = - 2x + 7[/tex]

The equation that represents this situation is 560m = 8400

An equation is an expression that shows the relationship between two or more variables and numbers.

Let m represent the number of minutes taken to discharge the water. Hence this can be represented by:

560m = 8400

The equation that represents this situation is 560m = 8400

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Answer:7picm Circumference = pi x d Diameter = 7 C = pi x 7 C = 7pi cm.

Step-by-step explanation:

The circumference of the circle with diameter 2 cm is 6.28 cm.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that a circle has a diameter of 2 cm we need to find its circumference,

The circumference of a circle is given by, π × diameter

Therefore, the circumference of the circle with diameter 2 cm =

= π × diameter

= π × 2

= 3.14 × 2

= 6.28 cm

Hence, the circumference of the circle with diameter 2 cm is 6.28 cm

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Answer: x = 6

Step-by-step explanation:

The midsegment is half of the side it's parallel to.

Therefore 2*(3x-1) = 34

3x-1 = 17

3x = 18

x = 6

Answer:

(rectangular prism) Opposite sides are equal;

Area of bottom base:-

11 x 15 = 165

Above base, (165 x 2) = 330

Area of front:-

15 x 32 = 480

Area of back, (480 x 2) = 960

Area of left side:-

11 x 32 = 352

Area of right side, (352 x 2 ) = 704

Add the sums of all the areas;

330 + 960 + 704 = 1,994 square cm

Step-by-step explanation:

Since 88 is for one night and 20 per night in fees and taxes.

Step 1 : Calculate for $88

[tex] \frac{88n}{88} \\ [/tex]make N the subject of formula

[tex]n = \frac{88}{88} \\ [/tex]

N= 1

Step 2: Calculate for $20

[tex] \frac{20n}{20} \\ [/tex]

make N the subject of formula

[tex]n = \frac{20}{20} [/tex]

N = 1

Answer:

18 kids

Step-by-step explanation:

because you multiply 0.2 by 90 and it equals 18

Answer:

9 for 14 is slightly less expensive, but for convenience 3 for 5 is better

Step-by-step explanation:

5/3=1.(6)

14/9=1.(5)

Answer:  52

Step-by-step explanation:

We can plug in the values for a and b.

= 8*3^2 - 6*5 + 10

= 72 - 30 + 10

= 42 + 10

= 52

Answer:

52

Step-by-step explanation:

Start by substituting the given values into the expression:

[tex]8a^2-6b+10\\8(3^2)-6(5)+10\\\text{Solve the expression}\\8(9)-30+10\\72-30+10\\42+10\\52[/tex]

Remember Order of Operations:

Parentheses

Exponents

Multiplication/Division (Whichever comes first)
Addition/Subtraction (Whichever comes first)

Answer:

9+7=16

Step-by-step explanation:

Answer: x < -3.5

Step-by-step explanation:

Subtract 3 from both sides and we get

-4x > 14

We divide -4 on both sides, but be careful because we have to flip the sign since it's a negative number.

x < -3.5

Answer:

84/25

Step-by-step explanation:

Answer:

14

sorry if i need any.

Step-by-step explanation:

9-8=1 + 13 = 14

Answer:

I'm going to put the most shells possible on the necklaces this would be 38, 38x5=190, meaning that we have a remainder of 2.

2 shells would be on the magnet

Answer:

2 people are waiting if you want a whole number

Answer: A

Step-by-step explanation:

Since DE=4 and AB=2, we know the scale factor of the dilation was 4/2 = 2.

Answer:

Jack ate two and a half pieces of a pie. Amy ate one and three fourth pieces of a pie. How much pie did they eat altogether?

Step-by-step explanation:

Jack ate 2 1/2 pie

Amy ate 1 3/4 pie

2 1/2 + 1 3/4 = 4 1/4

They ate four and one-fourth pieces of pie altogether.

Answer: 26% of 84 is 21.84

Step-by-step explanation:

0.26 * 84 = 21.84

Answer:

26%

of

84

=

21

Step-by-step explanation:

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Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

please mark brainliest

Answer:

18

Step-by-step explanation:

substitute x = 3 into the expression

6x = 6(3) = 6 × 3 = 18

Answer:

56/100 or 0.56

Step-by-step explanation:

you first need the dinominators to be the same so to figure that at you can do 100 divided by 10 which is 10. so to make the doniomators even you need to multipy the 2/10 by 10. so 2x10=20 and 10x10=100 so that makes the fraction 20/100. now you have 20/100 + 36/100 =? which makes it a lot easier. so now all you do is add ONLY THE NUMERATOR so you do 20+36 which is 56 and you keep the 100 and that 56/100.

To make it into a decimal, this one is easy because the denominater is 100 so you just take 56.0 and move the decimal two place values so its 0.56. :)