Trevor's bonus last year with $6720 and this was 12% of his base salary. what is his base salary?

The area of the wall whose length is 4y+8 and the height is 4y is 16y^2 + 32y.

How area is calculated?

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2.

The area of a form is computed by dividing its length by its breadth.

It is given that the length of the wall is 4y+8 and height of the wall is 4y.

From this given information, we can conclude that the wall is rectangle.

Formula to calculate the area of rectangle is:

Area of rectangle = length x breadth

Putting the value given in the question:

Area of the wall = (4y+8)(4y)

Area of the wall = 16y^2 + 32y

Therefore, the area of the wall is 16y^2 + 32y

To know more about area, go to link

https://brainly.com/question/25292087

#SPJ9

Answer:

See below

Step-by-step explanation:

Robert pays 35 %   in 12 monthly installments

6480 * .35 / 12 = 189 dollars per month

Length of the given arc

So the length of the given arc is 1.57 cm

The dimension of the brick is given 110 cm x 655 cm x 1330 cm.

We know that 1 cm = 10^-2 m.

So, the dimensions of brick in meters will be 1.10 m x 6.55 m x 13.30 m.

The volume of the brick is calculated below:

Thus, the volume of the brick in cubic meters is 95.8265 m^3.

Given a table represents a relation between x and y

As shown, the change of (x) and (y) vary with a constant rate

So, the table represents a linear function

The general equation will be: y = m * x + b

where (m) is the slope, (b) is the value of y when (x=0)

So, from the table, when x = 0 , y = 25

The slope will be as follows:

So, the equation will be:

When the input = 200, x = 200

So, substitute with (x) to find the output (y)

So, the answer will be:

For an input 200, the output is 1025

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

Another method to solve using the arithmetic sequence.

As shown in the table consider (x) represents the number of terms

So, (y) will be an arithmetic sequence

The first term = a = 30

The common difference = d = 35 - 30 = 5

the general rule of the arithmetic sequence is:

substitute with (a) and (d)

When x = 200

So, for an input 200, the output = 1025

Given the Linear Equation:

(a) You need to solve for "y", in order to rewrite it in Slope-Intercept Form, because that form is:

Where "m" is the slope of the line and "b" is the y-intercept.

Then, you get:

Notice that:

(b) You can graph the line by finding the x-intercept and the y-intercept. You already know that the y-intercept is:

Then, in order to find the x-intercept, you need to substitute this value of "y" into the equation and then solve for "x":

Because the value of "y" is zero when the line intersects the x-axis.

Therefore, you get:

Now you know that the line passes through these points:

Hence, you can graph it.

Therefore, the answers are:

(a) Equation in Slope-Intercept Form:

(b) Graph:

Answer: The second ratio in the proportion is set up as ounces over oranges. The units should be in the same place in proportion to the first ratio.

Step-by-step explanation:

Total ribbon Pam needs = 2 yards

Total ribbon Pam purchased = 0.497 + 0.91 + 0.40 = 1.807

The amount of ribbon Pam needs is calculated as,

Thus the amount of ribbon needed is 0.193 yards .

Answer:

Printer B prints the fastest

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

From point A, point B is observed with an angle of 45 down from the top of the tree to the ground.

Thus, the angle of depression is 45°

Answer:

Match that i have the step by step explanations

Step-by-step explanation:

A, F, C, D, E, F, B

Answer:

Step-by-step explanation:

Substitute a and b with 1/4 and 6

5b/ 32a^2

5(6)/ 32(1/4)^2

30/32(1.96)

30/62.72

0.5102 Answer

The solution of the system of equations are;

⇒ x = - 6 , y = 44 and z = 2

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The system of the equations are,

3x + y - 2z = 22    .... (i)

x + 5y + z = 4       .... (ii)

x = - 3z                .... (iii)

Now,

Solve the equations as;

Substitute x = - 3z in both equations, we get;

⇒ 3x + y - 2z = 22

⇒ 3 × -3z + y - 2z = 22

⇒ - 9z + y - 2z = 22

⇒ - 11z + y = 22   .... (iii)

And, x + 5y + z = 4

- 3z + 5y + z = 4

5y - 2z = 4     ... (iv)

Solve equation (iii) and (iv) we get;

⇒ y = 44 and z = 2

So, x = - 3z    

⇒ x = - 3 × 2

⇒ x = - 6

Thus, The solution of the system of equations are;

⇒ x = - 6 , y = 44 and z = 2

Learn more about the system of equations visit:

https://brainly.com/question/26111659

#SPJ1

A rotation of 270 degrees about the origin would transform the figure as follows:

Which does not maps the A to A'.

Now, one sequence of transformations that take A to A' is:

1)First, a reflection over the x-axis would transform the figure as follows:

2) We translate the figure 3 units up and 4 units to the right:

Answer: Reflection over the x-axis, translation 3 units up and 4 units to the right.

They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more.

One of the four fundamental mathematical operations, along with addition, subtraction, multiplication, and division, is addition.

The sum of 5 + 6.

They can utilize counters or their fingers, but they can even utilize doubles facts. If they understand 5 + 5 = 10, they know that the sum of 5 + 6 will be one more.

Therefore, 5 + 6 = 11.

Estimating other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.

Repeat the doubles facts so they can use them to solve equations.

They can also use doubles-minus-one facts to enable them solve equations.

Write down 9 + 10 and have your children find the sum.

If they know that 10 + 10 = 20, they know that the sum of 9 + 10 will be one less. Therefore, 9 + 10 = 19.

Practice solving different number sentences together.

Therefore, they can utilize counters or their fingers, but they can even utilize doubles facts. If they understand 5 + 5 = 10, they know that the sum of 5 + 6 will be one more.

Therefore, the correct answer is option A 5 + 5 = 10.

The complete question is:

Which doubles fact helps you solve 5 + 6 = 11? Circle the number sentence.

A 5+5=10

B6+6=12

C7+7= 14

D 8+8=16

To learn more about addition refer to;

https://brainly.com/question/1380218

#SPJ13

Let's start by completing the first table.

The questions gives the depth in two times:

- 2 hours after start -> 64 inches of water

- 4 hours after start -> 48 inches of water

From this, we can identifythe units:

- for time, we will use hours

- for depth, we will use inches

The first given values are:

- for time, 2

- for depth, 64

The second given valuesa are:

- for time, 4

- for depth, 48

So, the table is:

Quantity Name | Time | Depth of Pool

Unit | hour | inch

Given Value 1 | 2 | 64

Given Value 2 | 4 | 48

Now, we need to calculate the slope, which can be done using the given points and the equation:

So, the slope is -8 inches per hour.

The interceptwe the b in the equation:

Where y is the depth and x is the time. So, using the first given values and the slope, we can find b:

Thus, the intercept is 80 inches.

So, the formula we have for the pump is:

Using it, we can answer questions 1 and 2:

1. After 6 hours means x = 6, so:

So, y = 32, thus, the depth of the water will be 32 inches.

2. The level 24 inches mean y = 24, so:

Thus, x = 7, and the water will be at 24 inches after 7 hours.

Distribution of

a(b + c) = ab + ac

Then

36 + 12 is equivalent to

Find composed numbers

36= 3•12

12 = 3•4

THEN ANSWER IS

3• (12 + 4)

Answer:

The answer is (1,4,2)

From the question

By the bunkers rule

P = 18,000

R = 17.25% = 0.1725

For the time

Since the year is a leap year then

February has 29 days

Hence

From Feb.4 to Apr 21 implies

The number of days left in Feb. = 25

Number of days in March = 31

Number of days for April = 21

Therefore, Total number of days = 25 + 31 + 21 = 77

By Bankers rule, total days for the year will be 360

Hence the interest is

Therefore, the interest is 664.16

Answer:-900 feet. I think this is correct so don't use it unless you think its right

Step-by-step explanation:

Measure of ∠B = 16°

∠A and ∠B are Vertical angles with ∠A = x+12° and ∠B = 6x-8°.

Vertical angles are angles formed between two lines at the intersection of them and are opposite to each other.

Also measures of Vertical angles are equal.

Now to find the measure of ∠B, we need to find x.

So here,  ∠A = ∠B

⇒ x+12° = 6x-8°

⇒ 6x - x = 12 + 8

⇒ 5x = 20

⇒ x = 4

Hence, ∠B = 6x-8° = 6 x 4 -8 = 16°

So measure of ∠B = 16°

Learn more about angles at https://brainly.com/question/25770607

#SPJ1

The scientific notation of the expression is as follows:

The proper format for scientific notation is a x 10ᵇ where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.

Scientific notation is a special way of writing numbers.

The expression can be express in scientific notation as follows:

Therefore,

(7 × 10⁻⁶) (7 × 10⁻⁶)

Hence, we have to multiply the integers and add the exponents as follows:

(7 × 7) × (10⁻⁶. 10⁻⁶)

49 × 10⁻⁶⁻⁶

49 × 10⁻¹²

4.9 × 10⁻¹¹

Hence, the second can be express in scientific notation as follows:

(3.76 × 10⁵) + (7.44 × 10⁵)

(3.76 + 7.44) × 10⁵

11.2 × 10⁵

1.12 × 10⁵⁺¹

1.12 × 10⁶

learn more on scientific notation here: https://brainly.com/question/15372705

#SPJ1

Given: Linh buys $11.23 worth of groceries and pays for them with a $20 bill.

So, the change will be = 20 - 11.23 = $8.77

The effect on the graph replacing f(x) by f(x)+k is a vertical shift k units.

According to the graph the resulting function is 2 units higher from the original one. This means k has a value of 2.

Answer:  A) moves two places to the right

Example:

[tex]2.567 * 10^2 = 2.567 * 100 = 256.7[/tex]

The positive exponent over the 10 tells us how many places to move to the right. If the exponent was negative, then we'd move to the left. This only works when the base is 10.

Explanation: First of all we need to know if our triangle is a right triangle (has one 90° inner angle) to be able to use the law of sines to calculate the distance between Amanda and the helicopter.

Step 1: Once we know that the sum of all inner angles of a triangle is equal to 180° we can calculate the unknown angle as follows

As we can see above the missing inner angle is 90° which means it is a right triangle.

Step 2: Now we can use the law of sines as follows

once sin (90°) = 1 and sin (30°) = 0.5, let's calculate "x" below

Final answer: As we can see above, the final answer is 2000 ft

Answer:

3

Step-by-step explanation:

Hello!

A simple way to find if the number is a multiple of 9 is if the sum of the digits in the number is a multiple of 9, then the number itself is a multiple of 9.

So that means: 7 + 2 + b + 3 + 8 + 4 is a multiple of 9

If we add it up we should get: 24 + b

The multiples of 9 include 9,18,27,36,45,54....., and the closest multiple of 9 to 24 is 27. Therefore, the missing digit should be 3, as 27 - 24 is 3.

The next closest numbers would be 18 and 36, but you would need to add a negative number to get 18, and a two-digit number to get 36.

The required answer would be (24 -3x - 4x²) / 4x = 0 which is the lcm of the rational algebraic equation 6/x+x-3/4=2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given equation below as:

⇒ 6/x + x - 3/4 = 2

We have to determine the lcm of the rational algebraic equation

⇒ 6/x + x - 3/4 = 2

Rearrange the term of 2 in the equation,

⇒ 6/x + x - 3/4 - 2 = 0

Take LCM in the above equation,

⇒ [tex]\dfrac{6\times4+x\times4x-3\times x -2 \times 4x}{4\times x}[/tex]

⇒ (24 + 4x² -3x - 8x²) / 4x = 0

Combine the likewise terms in the numerator,

⇒ (24 -3x - 4x²) / 4x = 0

Therefore, the required answer would be (24 -3x - 4x²) / 4x = 0.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

[tex] \frac{13}{5} \times - \frac{8}{3} \\ = - \frac{104}{15} [/tex]

ATTACHED IS THE SOLUTION

Answer:

(-104/15)

Step-by-step explanation:

    3              2

2 ------ × -2 -------

    5              3

5 × 2 = 10

10 + 3 = 13

3 × -2 = -6

-6 + -2 = -8

 13        -8            104

------- × ------- = (-) -------

  5          3             15

I hope this helps!