Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?

Answer:

sorry i cant understand your pic its so many circle

The average slope of the function on the interval [3, 8] is -1/24, and the value of c that satisfies the Mean Value Theorem is \(c = \sqrt{24\).

The average or mean slope of the function f(x) = 1/x on the interval [3, 8] can be found by calculating the difference in the function values at the endpoints and dividing it by the difference in the x-values.

Using the formula for average slope:

Average slope = (f(b) - f(a))/(b - a),

where a = 3 and b = 8, we have:

Average slope = (f(8) - f(3))/(8 - 3)

Substituting the function values, we get:

Average slope = (1/8 - 1/3)/(8 - 3)

= (-5/24)/(5)

= -1/24

Therefore, the average slope of the function on the interval [3, 8] is -1/24.

According to the Mean Value Theorem, there exists a value c in the open interval (3, 8) such that f'(c) is equal to the mean slope.

To find this value, we can take the derivative of the function f(x) = 1/x and set it equal to the mean slope:

\(f'(x) = -1/x^2\)

Setting \(-1/x^2 = -1/24\) and solving for x, we have:

\(x^2 = 24\)

Taking the square root of both sides, we get:

x = ±\(\sqrt{24\)

Since c must lie in the open interval (3, 8), the only value that satisfies this condition is \(c = \sqrt{24\).

Therefore, the value of c that works is  \(c = \sqrt{24\).

Hence, the average slope of the function on the interval [3, 8] is -1/24, and the value of c that satisfies the Mean Value Theorem is  \(c = \sqrt{24\).

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The greatest amount of sap collected from any one tree is two times.

The maximum amount of sap that can be gathered from a single tree is two times greater than the minimum amount. SAP enables businesses to innovate on anything from cancer therapies to flood mitigation. We support life-saving research and are deeply committed to social responsibility and sustainability. At SAP, we collaborate to create innovations.

Work in a stimulating and rewarding environment by joining us. Minerals and nutrients can be found in tree sap. In the spring, when new buds are growing, a sticky substance that travels through the tree and out onto the branches helps the tree produce energy. Sugars are created as a result of photosynthesis and sent back into the tree, where they serve as sustenance for the tree's growth.

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Correct Question:

The greatest amount of sap collected from any one tree is _____________

Answer:

Step-by-step explanation:

1. 8=2x+4

8-4=2x

4=2x

x=2

2. 2x+3=9

2x=9-3

2x=6

x=3

3. 6y=54

y=54/6

y=9

5. 3= x/2

x=6

Answer:

8=2x+4

4=2x

2=x

2x+3=9

2x=6

x=3

6y=54

I'm not sure about question #4

3=x/2

6=x

The algebraic expression for "take away 7 from 4 times y" is 4y - 7.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

take away 7 from 4 times y =  4y - 7

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Answer:

y is 7

Step-by-step explanation:

the steps are shown in the picture. Hope this helps

Answer:

y=6x-4

Step-by-step explanation:

The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the slope of the line m = 6

Let the y intercept of the line be = -8

Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 6x - 8   be equation (1)

Hence , the equation of line is y = 6x - 8

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Answer:

they are 4 i think

Step-by-step explanation:

5 x 4 = 20

Answer:

100

Step-by-step explanation:

20 divided by 1/5 = 20 x 5/1 = 100

We have 6 red and 1 blue marble thus the probability of drawing blue marble = 1/7

To understand probability as a concept, pay attention to the steps below.

Step 1. Multiply the individual probabilities to obtain the chance of numerous separate events.

Step 2. As there are two separate events in this scenario, double the probabilities of each.

Step 3. Add the individual probabilities to obtain the chance of several events that are mutually exclusive.

In this bag of 7 marbles, there is 1 blue one. Assume that each is marked with a number. Choosing blue-1 has a 1/7 chance of happening. (Why? As there are 7 marbles that may be chosen, each with an equal probability, and since those 7 occurrences are mutually exclusive, the 7 probabilities total up to 1.)

The probability of choosing blue-2 is similarly 1/7; the same goes for blue-3,..., and blue-8. To determine the likelihood of picking a blue, add those up (and blue).

Step 4. Do the same for red next.

Thus the probability of drawing blue marble =  1/7

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The expression (2 + 3)(22 + 32)(24 + 34)(28 + 38)(216 + 316)(232 + 332)(264 + 364) is equivalent to \(3^{127} + 2^{127}\). Therefore, the correct answer is (A) \(3^{127} + 2^{127}\)

Let's simplify the given expression step by step:

(2 + 3)(22 + 32)(24 + 34)(28 + 38)(216 + 316)(232 + 332)(264 + 364)

First, we can simplify each term within the parentheses:

5 × 5 × 7 × 11 × 529 × 1024 × 3125

Now, we can use the commutative property of multiplication to rearrange the terms as needed:

(5 × 7 × 11)  (5 × 529)  (1024 × 3125)

The factors within each set of parentheses can be simplified:

385 × 2645 × 3,125

Multiplying these numbers together, we get:

808,862,625

This result can be expressed as \(3^{127} * 2^{127}\)

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The total cost of a 3 night stay is $776.

Given,

Cost of rent per night = $229

Price of one time cleaning fee = $89

As Mr. pham will be staying for 3 nights, then the cost for three nights will be 3*229=687

and also one time cleaning fee is also included then

Total cost of a 3 night stay =687+89=776

Thus, the total cost of a 3 night stay is $776.

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Answer:

-5/4 0 6% 2/5 25% 6

Step-by-step explanation:

converting all to decimal -

.4, .06, 6, -1.25, 0, .25

Ok so we need to turn these all into the same type of number.

I'm going to turn it into decimals.

2/5 = 4/10 = 40/100 = 0.40

6%=0.06

6=6.00

-5/4 = -125/100 = -1.25

0 = 0.0

25% = 0.25

So now we order from least to greatest.

0.4, 0.06, 6, -1.25, 0, 0.25

Since -1.25 is a negative number, it goes first.

All of them except for -1.25 and 0 are positive numbers so 0 goes next.

Now you could ignore the decimal point; 40, 6, 600, 25

From least to greatest it is; 6, 25, 40, 600

So the final order from least to greatest is; -1.25, 0, 0.06, 0.25, 0.4, 6

Or; -5/4, 0, 6%, 25%, 2/5, 6

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

Sorry don’t see the graphs

Step-by-step explanation:

step 1. U(-7, 2) -> U'(-2, -7)

step 2. V(-7, 7) -> V'(-7, -7)

step 3. W(-1, 6) -> W'(-6, -1)

Answer:

See the answer below.

Step-by-step explanation:

These two circles are similar objects.

The ratio of a corresponding part is a: b.

The area ratio is a²: b²  and the volume ratio is a³ : b³

Therefore  if AE : CD which is 2:3

The area ratio  4 :9

The volume ratio is 8: 27

The relation between both circles is the area of circles in ratio to the radius and both circles are similar circles.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given two circle

Circle 1 = radius 2

Circle 2 = radius 3

All circles are similar objects so their area ratio is radius ratio.

(Area of circle 1)/(Area of circle 2) = (radius 1)/(radius 2)

(Area of circle 1)/(Area of circle 2) = 4/9 = 2/3

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Answer:

-x² + 6x - 17

Step-by-step explanation:

First, expand (x-3)² using FOIL

(x - 3)(x - 3)

= x² - 6x + 9

Distribute the negative sign to the expression:

-(x² - 6x + 9)

-x² + 6x - 9

Now, subtract 8 from this

-x² + 6x - 9

= -x² + 6x - 17

So, the equation in standard form is -x² + 6x - 17

The answer is.. x^2+6x-17

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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For the triangle ABC the interior angles measures ∠A = 48°, ∠B = 82°, and ∠C = 50°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

According to the angles of a triangle theorem, the sum of angles of a triangle is 180°.

The measure of ∠A = 4x.

The measure of ∠B = 7x - 2.

The measure of ∠C = 5x - 10.

The equation is -

∠A + ∠B + ∠C = 180°

Substitute the values into the equation -

4x + 7x - 2 + 5x - 10 = 180

Collect the like terms -

4x + 7x + 5x = 180 + 2 + 10

16x = 192

x = 192/16

x = 12°

So, the measure of ∠A = 4(12) = 48°.

The measure of ∠B = 7(12) - 2 = 82°

The measure of ∠B = 5(12) - 10 = 50°

The interior angles of the triangle are 48°, 82° and 50°.

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Answer:

Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil

Explicacion:listo :)

Answer:

y=2/3x+23/3

check image

Answer:

x= -2; y= -2

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, and therefore we can make two observations:

9=-9x-9
19=-10y-1

Then we can just solve each of the equations to get x and y:

9 = -9x - 9
+ 9       +9

18=-9x

----------
-9

-2=x

19=-10y-1
+1        +1

20=-10y
------------

-10

-2=y

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

Volume of a cube is Volume = S^3, where S is the length of one side.

Volume = 2 1/4^3 = 2 1/4 x 2 1/4 x 2 1/4 = 11 25/64 in^3

The answer is D.

Answer: 30 3/8

Step-by-step explanation:

Answer:

given: 300km in 6 hours

formula: a÷b=x

work: 300÷6=x

          50= x

answer: the avrage

speed of the car is 50km an hour

Step-by-step explanation:

Answer:

E. None of the above

Step-by-step explanation:

We know that 1/8 is the same as 1÷8 Then using Long Division for divided by 8 gives us 0.125

Answer:

Hope this helps!