A travel agent receives a 6% commission on the base fare of a customer- that is, the fare before sales tax is added. If the total fare
charged to a customer comes to $787.91 including 5.5% sales tax, how much commission should the agent receive?

Answer

5.6967 rounded up will be 5.697.

Step-by-step explanation:

The initial amount and rate of change given a table for a linear function are $65 and $86, respectively

The table of linear function represents the given parameter

On the table, we have the following points

(x, y) = (6, 476) and (10, 736)

The rate of change is calculated as

Rate = (y2 - y1)/(x2 - x1)

So, we have

Rate = (736 - 476)/(10 - 6)

Evaluate

Rate = 65

This means that the rate of change is $65

The initial amount is calculated as

y = m(x - x1) + y1

Where

m = 65

So, we have

y = 65(x - x1) + y1

Using one of the points, we have

y = 65(x - 6) + 476

Set x = 0

So, we have

y = 65(0 - 6) + 476

Evaluate

y = 86

Hence, the initial amount and rate of change given a table for a linear function are $65 and $86, respectively

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The average rate of change is 1.625.

The average rate of change in height for chuck can be found as follows:

The average rate of change is a measure of how much the function changed per unit, on average, over that interval.

Therefore,

average rate of change = change in y / change in x

Therefore,

(10, 51)(18, 64)

average rate of change = y₂ - y₁ / x₂ - x₁

x₁ = 10

x₂ = 18

y₁ = 51

y₂ = 64

Therefore,

average rate of change = 64 - 51 / 18 - 10

average rate of change = 13 / 8

average rate of change = 1.625

Therefore, the average rate of change is 1.625.

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The measured height in feet of the base to its highest peak is 18045.5 feet

The given parameter is

Length of the base to its highest peak = 5500 meters

As a general rule

1 meter = 3.281 feet

So, we have:

Length of the base to its highest peak = 5500 * 3.281 feet

Evaluate the product

Length of the base to its highest peak = 18045.5 feet

Hence, the measured height in feet of the base to its highest peak is 18045.5 feet

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Answer: if my math is correct i think its b

Step-by-step explanation:

The correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that Tina needs to purchase a refrigerator as replacement for $1100.

The monthly periodic rate if balance is not paid by the second month = 1.2 %

The amount she paid by the second month = $500

The due amount is :

= 1100 - 500

= $600

This amount she decided to pay by end of fourth month or after two more months.

Let's assume the amount she had to pay now at the end of fourth month is x then it given by :

= 600 + ( 600 × [tex]\frac{1.2}{100}[/tex] × 2)

= 600 + ( 12 × 1.2 )

= 600 + 14.4

= $ 614.4

Therefore , the correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.

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The 10 students can be lined up for lunch in 3628800 ways.

Factorial of a number n is defined as the product of that number with every number less than or equal to the given number till 1.

The formula is given by:

n! = n(n-1)(n-2)(n-3(n-4)(n-5)(n-6)....3.2.1

We have,

n! = n(n-1)(n-2)(n-3)(n-4)(n-5)......3.2.1

We have to arrange for 10 students so n = 10.

Now,

10! = 10.9.8.7.6.5.4.3.2.1

Multiply each number.

10! = 3628800 ways

Therefore the 10 students can be lined up for lunch in 3628800 ways.

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a and b are vertically opposite angle ...

☘☘☘...

Answer:

$37.12

Step-by-step explanation:

Total cost = $3.50(350/33) = $37.12

Answer:

11000

Step-by-step explanation:

I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

TA=10000 + 1000

Total Interest = 11000

Each dose will contain 15 ml volume of liquid.

The container will last for 16 days.

Volume is a measurement of three-dimensional space that is occupied.   Numerous imperial units or SI-derived units, such as the cubic meter, gallon, quart, cubic inch and liter, are frequently used to quantify it numerically .

The unitary method involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other.

Inverse variation is the direct variation's opposite. A quantity's value decreases if we raise the other quantity, and vice versa.

Given data:

Volume of Celexa oral solution container = 240 ml.

Concentration of Celexa oral solution(m/v) = 10 mg/ 5 ml.

Dosage for one day = 30 mg.

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The surface area of the given cuboid is 48ft².

The formula for the Surface area of a cuboid: 2(lw + wh +lh)

Now, substitute values in the formula as follows:

Therefore, the surface area of the given cuboid is 48ft².

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From the given geometry, it can be concluded that line 'a' and 'b' are parallel.

What do you mean by geometry?

Geometry is a discipline of mathematics concerned with the study of the sizes, forms, locations, angles, and dimensions of objects.

The area of mathematics that studies the characteristics, measurement, and spatial relationships of points, lines, planes, and figures.

From the geometry, the angles 19 and 22 are consecutive converse exterior angles when line 'a' and 'b' is cut through a transversal 'e'. And their sum is 180°. So, lines 'a' and 'b, are parallel.

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Answer:

46

Step-by-step explanation:

According to the given statement;

If ​P(A)=0.9​, ​P(B)​=0.1, and A and B are​ independent, ​ P(A and​ B)=0.09

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other possible outcomes and the coin is fair, the odds of both the outcomes, "heads" and "tails," are equally likely to occur. As a result, the probability of either outcome is half.

According to the given value;

P(A) = 0.9

P(B) = 0.1

A and B independent;

We know that independent

P(A∩B) = P(A) · P(B)

             = (0.9)*(0.1)

             =0.09

P(A∩B) =0.09

hence, If ​P(A)=0.9​, ​P(B)​=0.1, and A and B are​ independent, ​ P(A and​ B)=0.09

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If eleven subtracted from eleven times a number is -66, the unknown number is -5

Given the data in the question;

First we translate the statement into an algebraic expression and solve for the unknown number.

Let x represent the unknown number.

Translation

Now, we combine.

11x - 11 = - 66

Solve for x

Add 11 to both sides

11x - 11 + 11 = - 66 + 11

11x = -55

x = -55/11

x = -5

Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5

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Answer:

12, 12, and 12

Step-by-step explanation:

12 is an even integer, and 12 + 12 + 12 = 36, so it would be logical for 12 to be the unknown integer.

Answer: 5/10 or 1/2 or .5 for fractions multiplied by = -2.125 as decimal

Step-by-step explanation:

pls mark brainlist

Answer:

5/10 or 1/2 or .5 for fractions multiplied by =-2.

125 and 216 are two perfect cubes

In multiplication when bases are same, the powers are added. So the answer after simplifying is d) -24a^3b^7

Product of  (3a^2b^4)*(-8ab^3)

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition of groups of equal sizes. While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables, but for larger numbers, we split the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.

The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:

Multiplicand: The first number (factor).

Multiplier: The second number (factor).

Product: The final result after multiplying the multiplicand and multiplier.

(3a^2b^4)*(-8ab^3)= -24a^3b^7

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The only possible equation of the drawn line is: y - 2 = 1/2(x + 4)

The rest options are not equations of the drawn line.

The equation, y - b = m(x - a), is the point-slope form of any given line where m is the slope of the line and any point on the line is given as (a, b).

Slope (m) = rise/run.

Find the slope (m) of the graph at the right.

Slope (m) = rise/run = 1 units/2 units

Slope (m) = 1/2.

Any possible equation of the line should have a slope of 1/2.

y - 2 = 1/2(x - 4), y - 2 = 1/2(x + 4), and y - 4 = 1/2(x - 2) are the only equations that has a slope of 1/2.

Using a point on the line, say (0, 3), substitute x = 0 and y = 3 into each of the three equations to check if the equation is true.

y - 2 = 1/2(x - 4)

3 - 2 = 1/2(0 - 4)

1 = -2 [not true]

y - 2 = 1/2(x + 4)

3 - 2 = 1/2(0 + 4)

1 = 2 [not true]

y - 4 = 1/2(x - 2)

3 - 4 = 1/2(0 - 2)

-1 = -1 [true]

Therefore, the only possible equation of the drawn line is: y - 2 = 1/2(x + 4)

The rest 4 equations are not equations of the drawn line.

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The possible endpoints are: (i) A(x, y) = (6, - 2) and B(x, y) = (3, 5), (ii) A(x, y) = (4, 4) and B(x, y) = (6, - 4).

In this problem we know the location of the midpoint and the line segment ratio. There are two posibilities according to the definition of line segment ratio:

AX / BX = 2 / 3   (1)

BX / AX = 2 / 3   (2)

And now we solve for each case:

Case 1

X(x, y) = A(x, y) + (2 / 5) · [B(x, y) - A(x, y)]

X(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

(4.8, 0.8) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

(4.8, 0.8) = 0.6 · A(x, y) + 0.4 · B(x, y)

(4.8, 0.8) - 0.6 · A(x, y) = 0.4 · B(x, y)

(12, 2) - 1.5 · A(x, y) = B(x, y)

B(x, y) = (12, 2) - 1.5 · A(x, y)

Now we proceed to check each choice:

A(x, y) = (6, - 2)

B(x, y) = (12, 2) - 1.5 · (6, - 2)

B(x, y) = (3, 5)    TRUE

A(x, y) = (6, 2)

B(x, y) = (12, 2) - 1.5 · (6, 2)

B(x, y) = (3, - 1)   FALSE

A(x, y) = (8, 1)

B(x, y) = (12, 2) - 1.5 · (8, 1)

B(x, y) = (0, 0.5)  FALSE

A(x, y) = (2.4, 0.4)

B(x, y) = (12, 2) - 1.5 · (2.4, 0.4)

B(x, y) = (8.4, 1.4)  FALSE

A(x, y) = (4, 4)

B(x, y) = (12, 2) - 1.5 · (4, 4)

B(x, y) = (6, - 4)     TRUE

A(x, y) = (1.8, - 1.2)

B(x, y) = (12, 2) - 1.5 · (1.8, - 1.2)

B(x, y) = (9.3, 3.8)  FALSE

Case 2

X(x, y) = B(x, y) + (2 / 5) · [A(x, y) - B(x, y)]

X(x, y) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)

(4.8, 0.8) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)

(4.8, 0.8) = 0.4 · A(x, y) + 0.6 · B(x, y)

(4.8, 0.8) - 0.4 · A(x, y) = 0.6 · B(x, y)

(12, 2) - 0.667 · A(x, y) = B(x, y)

B(x, y) = (12, 2) - 0.667 · A(x, y)

Now we proceed to check each choice:

A(x, y) = (6, - 2)

B(x, y) = (12, 2) - 0.667 · (6, - 2)

B(x, y) = (8, 3.334)             FALSE

A(x, y) = (6, 2)

B(x, y) = (12, 2) - 0.667 · (6, 2)

B(x, y) = (8, 0.667)             FALSE

A(x, y) = (8, 1)

B(x, y) = (12, 2) - 0.667 · (8, 1)

B(x, y) = (6.664, 1.333)      FALSE

A(x, y) = (2.4, 0.4)

B(x, y) = (12, 2) - 0.667 · (2.4, 0.4)

B(x, y) = (10.399, 1.733)     FALSE

A(x, y) = (4, 4)

B(x, y) = (12, 2) - 0.667 · (4, 4)

B(x, y) = (9.332, - 0.668)   FALSE

A(x, y) = (1.8, - 1.2)

B(x, y) = (12, 2) - 0.667 · (1.8, - 1.2)

B(x, y) = (10.8, 2.8)            FALSE

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Answer:

2*10^-4

Step-by-step explanation:

0.02*0.01

Answer:

x = 10

Step-by-step explanation:

Answer:26

Step-by-step explanation:

x - .35x = 16.90

x(1 - .35) = 16.90

x(.65) = 16.90

x = 16.90/.65

x = $26