A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales total s dollars, he makes a total of 2000 0. 1s dollars. What does 2000 represent?.

Using scientific notation, the number of significant digits that the product should have is:

B. 3.

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When two numbers in scientific notation are multiplied, we have that:

For this problem, the product is given by:

\(5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3\)

Multiplying the bases and adding the exponents, we have that:

\(5.2187 \times 2.05 \times 3.4 \times 10^{-3 + 7 + 3} = 42.8 \times 10^{7}\)

42.8 has to be divided by 10 to assume for the base have only one digit, hence:

\(42.8 \times 10^{7} = 4.28 \times 10^6\)

Hence, considering the rounding, the number has 3 significant digits(4, 2 and 8), and option B is correct.

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Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

The slope and the intercept of the linear function 6x - 3y = -6 are given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

The function in this problem is given as follows:

6x - 3y = -6.

In slope-intercept form, we have that:

3y = 6x + 6

y = x + 2.

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Answer:

its b

Step-by-step explanation:

The equation that represents the distance (d) Allison has left to drive after h hours is given by: Option C: d = 380 - 60h

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're given that:

In 1 hour, she averagely covers 60 miles.

In h hours, she averagely covers \(60 \times h\) hours

d = distance remaining for her to reach to her grandmother's home after h hours of driving

d = Total distance - distance traveled in h hours

d = 380 - 60×h

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, so 60×h can be simply written 60h)

Thus, the equation that represents the distance (d) Allison has left to drive after h hours is given by: Option C: d = 380 - 60h

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The specific prices for the American put and call options with a strike price of $90 are calculated using a binomial tree.

To price a two-year American put and call option using a binomial tree, we consider the given parameters: S = $100, σ = 7.531%, r = 2%, and T = 1 year. With a dividend payment of $10 at the end of the first period, we calculate the upward movement (u) as e^(0.07531√1) and the downward movement (d) as the reciprocal of u.

Using the risk-neutral probabilities, we construct the binomial tree by computing stock prices at each node. Comparing intrinsic value with the expected value discounted back one period, we determine option values.

Traversing the tree backward, we compare the expected value with intrinsic value and potential exercise value, choosing the higher value. The option price at the initial node represents the price of the American put and call options with a strike price of $90. By following these steps, we can determine the specific prices for the options.

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Answer:

d

Step-by-step explanation:

this will keep them in dept the longest

Answer:

B. 7- 10 years

Step-by-step explanation:

7 is the approximate time negative choices stay on. Things like paying the bill late and bankruptcies.

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Maria might have bought 9 tapes and 10 CDs of each type with her gift

certificate.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let,The no. of tapes be 'x' and the no. of CD be 'y'.

Given, She bought no more than 20 recordings.

Therefore, x + y ≤ 20.

And,

Each tape cost $5.95 and each CD cost $8.95.

Therefore,

5.85x + 8.95y ≤ 150.

By graph intersection method we find that (9.355, 10.645) is a solution.

But the numbers should be in integers so, 9  tapes and 10 CD recordings

she might have bought.

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The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

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The resulting list of permutations is:

STBR, STRB, SBTR, SBRT, SRBT, SRTB, TSBR, TSRB, TBRS, TBSR, TRBS, TRSB, BSRT, BSTR, BRST, BRTS, BTSR, BTRS, RSBT, RSTB, RBST, RBT S, RTBS, RTSB.

To generate all possible permutations, we can start by placing the stepper (S) in the first position. Then, we have three choices for the second position, since we can use any of the remaining three pieces of equipment. Once we have placed one of the pieces of equipment in the second position, we have two choices for the third position, since there are only two remaining pieces of equipment. Finally, the last piece of equipment must be placed in the fourth position.

Using this technique, we can generate all possible permutations of the four pieces of equipment, starting with the stepper first. The resulting list of permutations is:

STBR, STRB, SBTR, SBRT, SRBT, SRTB, TSBR, TSRB, TBRS, TBSR, TRBS, TRSB, BSRT, BSTR, BRST, BRTS, BTSR, BTRS, RSBT, RSTB, RBST, RBT S, RTBS, RTSB.

Each of these permutations represents a different order in which Rony can use the four pieces of equipment, starting with the stepper first.

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Answer: A: 90 degrees

Step-by-step explanation:

The measure of angle C is 90 degrees as BD and BC are chords to the circle.

Answer:

it is B. increasing

Answer:

C.it is a constant

Step-by-step explanation:

Hope this helped!

Please mark me as brainliest!

The probability that a randomly selected point within the circle falls in the red-shaded triangle is 0.31847.

We have to find the Area of Triangle and whole circle.

So, area of Triangle

= 1/2 x b x h

= 1/2 x 12 x 24

= 144 square unit

and, area of Circle

= πr²

= 3.14 (12)²

= 452.16 square unit

Now, the probability that a randomly selected point within the circle falls in the red-shaded triangle

= 144 / 452.16

= 14400 / 45216

= 0.31847

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Answer:

B and D

Step-by-step explanation:

Correct on Edge

Answer:

the X is 35

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Step 1: Flip the equation.

−2x−9=−19

Step 2: Add 9 to both sides.

−2x−9+9=−19+9

−2x=−10

Step 3: Divide both sides by -2.

Exact Form:

x = 9/17

Decimal Form:

x = 0.52941176…

Edit: "but what are the steps to get 9/17"

1. Move all terms containing x to the left side of the equation.

2. Divide each term by −17 and simplify.

Answer:

( y-b) / m    +a = x

Step-by-step explanation:

y−b=m(x−a)

Divide each side by m

(y−b)m=m/m(x−a)

( y-b)/m  = x-a

Add a to each side

( y-b) / m +a = x-a+a

( y-b) / m    +a = x

Answer:

y − b = m(x − a)

y − b = mx - ma

(y - b) / m = x - a

((y-b)/m) + a = x

Using the formula of volume of cone and volume of cylinder, the cone will fill the cylinder 3 times.

To determine the amount of water in glass B that will equal the amount of water in glass A, we have to use the formula of volume of cylinder and volume of a cone.

The formula of volume of a cylinder is given as;

V(cylinder) = πr²h

The formula of volume of a cone is given as;

V(cone) = 1/3 πr²h

Substituting the values into the formula of volume of cylinder;

V(cylinder) = 3.14 * 2² * 5

V(cylinder) = 62.8 in³

The volume of the cone is calculated as;

V(cone) = 1/3πr²h

V(cone) = 1/3 * 3.14 * 2² * 5

V(cone) = 20.93 in³

To determine the number of times, we can divide the volume of cylinder by volume of cone.

Number of times = 62.8 / 20.93

Number of times = 3.0

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game

Step-by-step explanation:

Answer:

Allison tuvo el mejor récord

Step-by-step explanation:

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

Answer:

D. y = (x + 8) (x + 1)

Explanation:

\(\sf y = x^2 + 9x + 8\)

\(\rightarrow \sf y = x^2 + 9x + 8\)

middle term split

\(\rightarrow \sf y = x^2 + 8x +x + 8\)

factor the common terms

\(\rightarrow \sf y = x(x + 8) + 1(x + 8)\)

collect into groups

\(\rightarrow \sf y = (x + 1)(x + 8)\)

Option D

Answer:

10 liters

Step-by-step explanation:

x=12% solution, y=16% solution

x+y=40

0.12x+0.16y=6 .   (12x+16x=600)

-12x-12y=-480

      12x+16x=600

+     -12x-12y=-480

-------------------------------

             4x=120

x=30

12% solution= 30 liters

16% solution= 10 liters

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

10L of the 12% of solutions and 30L of the 16% of solutions were used to produce 40L of the 15% of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Let 12% brine solution be x.

Let 16% brine solutions be y.

12% brine solution was mixed with a 16% brine solution to produce 40L of the 15% solution.

This can be written as,

x + y = 40 ______(1)

0.12x + 0.16y = 0.15 x 40

0.12x + 0.16y = 6 _______(2)

We will solve for x and y.

From (1) we get,

x + y = 40

x = 40 - y _____(3)

Putting ( 3) in (2)

0.12 (40 - y) + 0.16y = 6

4.8 - 0.12y + 0.16y = 6

4.8 + 0.04y = 6

0.04y = 6 - 4.8

0.04y = 1.2

y = 1.2/0.04

y = 30

Putting in (3) we get,

x = 40 - 30 = 10

Thus,

10L of the 12% of solutions and 30L of the 16% of solutions were used to produce 40L of the 15% of solutions.

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The solution to the system of equations is x = -1, y = 2.

A linear equation is a first-order (linear) term and a constant in an algebraic equation of the type y=mx+b, where m is the slope and b is the y-intercept. The previous equation, which has the variables y and x, is sometimes referred to as a "linear equation of two variables."

The adjective "linear" comes from the fact that the collection of solutions to such an equation forms a straight line in the plane.

These are the three types of linear equations:

By multiplying each equation by an appropriate constant, we may use the method of elimination to make the coefficients of x in both equations equal in size but opposite in sign. The following results from multiplying the first equation by 3 and the second equation by -2 in this situation:

a. 6x + 12y = 18

b. -6x - 10y = -14

To get rid of x, we can now combine these two equations:

a. 6x + 12y = 18

b. (-6x - 10y = -14)

2y = 4

By finding y, we obtain:

y = 2

We can find x by adding this value of y back into either of the initial equations:

2x + 4y = 6

2x + 4(2) = 6

2x + 8 = 6

2x = -2 x ⇒ -1

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the solution to the system of equations 2x+4y=6 and 3x+5y=7, after eliminating the x term, is x = -1 and y = 2.

The x term, we can multiply the first equation by -3 and the second equation by 2, so that the x term will have opposite coefficients and will cancel out when we add the two equations together.

\(-3(2x+4y=6) gives -6x - 12y = -18\)

\(2(3x+5y=7) gives 6x + 10y = 14\)

Adding these two equations gives:

\(-6x - 12y = -18\)

\(+6x + 10y = 14\)

\(-2y = -4\)

Solving for y, we get:

\(y = 2\)

Substituting this value of y back into either of the original equations, we can solve for x:

\(2x + 4y = 6\)

\(2x + 8 = 6\)

\(2x = -2\)

\(x = -1\)

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