Alexander is a stockbroker. He earns 12% commission each week. Last week, he
sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission 2011?

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.

Step-by-step explanation:

I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.

Answer:

<(3) >(2)

Step-by-step explanation:

Genus < Phylum

Class < Family

Kingdom < Species

Order > Classes

Phylum > Family

im not 100%

but hope this helps pls mark as brainliest.

Answer:

3/4

Step-by-step explanation:

1+3x=-x+4

1+3x-(-x)=4

1+3x+x=4

1+4x=4

4x=4-1

4x=3

x=3/4

Answer:

x=3/4

Step-by-step explanation:

1+3x=-x+4

4x=3

x=3/4

nbbcbfbfbfbdbdbdbfbfbdbdbd

Answer:

2 ounces are in 2 ounces

Step-by-step explanation:

Answer:2

Step-by-step explanation:

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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The probability that all three number cubes will land on an odd number is 1/8

From the question, we have the following parameters that can be used in our computation:

Number of cubes = 3

Sections on each cube = 6

Odd sections on each cube = 3

This means that

P(Odd) = Odd sections/Total sections

So, we have the following representation

P(Odd) = 3/6

Simplify

P(Odd) = 1/2

For the three cubes, we have

P(All odd) = P(Odd)^Number of cubes

Substitute the known values in the above equation, so, we have the following representation

P(All odd) = (1/2)³

Evaluate

P(All odd) = 1/8

Hence, the probability is 1/8

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Answer: 1/8

    ;

 ; l       .

                        .

      /.         ;      

      .

Answer:

APPRECIATION ON FIXED ASSETS

The value of asset increases due to inflation. Increase value of assets is added with related asset. It is also recorded in credit side of profit and loss account.

The product of the ages 2 years from today is 924

Let the ages of the three cousins be x, y and z. If the product of their ages is 1716, hence;

xyz = 1716

If the product of their ages last year is 1320, then;

(x-1)(y-1)(z-1) = 1320

Two years ago, the product of their ages will be;

(x-2)(y-2)(z-2) = 1320- (1716-1320)

(x-2)(y-2)(z-2) = 1320-396

(x-2)(y-2)(z-2) =924

Hence the product of the ages 2 years from today is 924

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Given the equation of the line:

And given the points ( 6 , 13 ) , ( 21 , 33 ) and ( 99 , 137 )

We need to check if the line passes through the points or not

So, substitute with the x - coordinates with each point and find y

so,

for the point ( 6 , 13 )

when x = 6

The point is true

For the point ( 21 , 33 )

when x = 21

The point is true

For the point ( 99 , 137 )

When x = 99

The point is true

So, the answer is True

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Answer:

The fraction 8/10 is equal to 4/5 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (4/5) by any interger number, ie, multiply by 2, 3, 10, 30 ... 8/10 is equivalent to 4/5 because 4 x 2 = 8 and 5 x 2 = 10; 12/15 is equivalent to 4/5 because 4 x 3 = 12 and 5 x 3 = 15

Answer:

denominator.

Step-by-step explanation:

In a fraction the top number is the numerator and the bottom number is the denominator.

The true inequality from the list of options is (c) -x - 6 > -3.5

To determine which inequality is true when x is -5, we need to substitute -5 for x in each inequality and simplify.

a) -x – 6 < -3.5

Substituting x = -5, we get:

-(-5) - 6 < -3.5

5 - 6 < -3.5

-1 < -3.5

This is false, so option a) is not true.

b) -x – 6 > 3.5

Substituting x = -5, we get:

-(-5) - 6 > 3.5

5 - 6 > 3.5

-1 > 3.5

This is false, so option b) is not true.

c) -x - 6 > -3.5

Substituting x = -5, we get:

-(-5) - 6 > -3.5

5 - 6 > -3.5

-1 > -3.5

This is true, so option c) is true.

Hence, the correct option is (c) -x - 6 > -3.5

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Complete question

Which inequality is true when the value of x is -5?

a) -x – 6 < -3.5

b) -x – 6 > 3.5

c) -x - 6 > -3.5

d) x - 6 > -3.5

Answer:

x = 28°

Step-by-step explanation:

Angle sum property of triangle:

             Sum of all the three angles of the triangle is 180°.

   50 + 2x + 3x - 10 = 180°

    2x + 3x + 50 - 10 = 180°

Combine like terms,

                   5x + 40 = 180°

Subtract 40 from both sides,

                           5x = 180 - 40

                           5x = 140°

Divide both sides by 5,

                             x = 140 ÷ 5

                            \(\sf \boxed{\bf x = 28^\circ}\)

The absolute value equation is:

|x + 1.3| = x  + 1.3

The absolute value equation that we have is:

|x - b| = c

And we want that the solution set is all the numbers larger than -1.3

Now, remember that:

| something|  ≥ 0.

So the absolute value is always equal or larger than zero.

So, for example, the equation:

|x| = x

Only is true if x ≥ 0, because if x is smaller than zero, for example x = -2, we would have:

|-2| = -2

2 = -2

Which is false.

Now we want to have solutions larger than -1.3 instead of larger than zero, so we can write:

|x  + 1.3| = x + 1.3

The solution of this equation is the given set.

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Answer:

since equation a has -x on one side just add x to both sides to get rid of the -x and since you do it to both sides you maintain balance

Step-by-step explanation:

Answer:

4x+x=6-2

5x=6-2

5x+2=6

Step-by-step explanation:

The equations you use to find the price of one tire patch are 4x + 1.9 = 22.20 and  22.2 – 4x = 1.9, so options A and E are correct.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

The Balance on the gift card =  $22.20,

The no of patches bought = 4,

The left balance on the card =  $1.90.

The equation for the statement in the question is,

The no of patches bought × The price of patches  + The left balance on the card = The Balance on the gift card

Let x be the price of one batch

Substitute the values,

4x + 1.9 = 22.20 or 22.2 – 4x = 1.9

Therefore, the equations you use to find the price of one tire patch are   4x + 1.9 = 22.20 and  22.2 – 4x = 1.9.

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Answer: (15,180) y=0x+180 y=10x+30

Step-by-step explanation:

Answer:

first one: (15, 180)

second one: y = 0x + 180

third one: y = 10x + 30

Step-by-step explanation:

Answer:

Answer:

2+2=4

9+9+4=22

22+0=22

2×0=0

22+2=24÷8=3

Answer:

1. 0

2. 549662557860

Step-by-step explanation:

Well 2+2+9+9+0+2x0+2 is 0 because anything time 0 is 0 so then you do 0 divided by 8 which is 0. Then 234898529 x 2340 is 549662557860 is you add the commas then... 234,898,529 x 2,340 is 549,662,557,860  

Answer:  137.5cm²

Step-by-step explanation:

See the attached image.

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

Step-by-step explanation:

Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.

The probability that a randomly selected student takes both computer science and statistics courses is 26%.

Let's call the event that a student takes a computer science course "C" and the event that a student takes a statistics course "S". We want to find the probability that a student takes both C and S, which can be written as P(C ∩ S).

The probability that a student takes at least one of these two courses can be written as P(C ∪ S), which is equal to 63%. This means that 63% of the students take either computer science or statistics, or both.

To find the probability that a student takes both courses, we can use the formula for the intersection of two events:

P(C ∩ S) = P(C | S) × P(S)

where P(C | S) is the probability that a student takes a computer science course given that they also take a statistics course. To find this value, we can use the formula:

P(C | S) = P(C ∩ S) ÷ P(S)

Substituting this into the first equation, we get:

P(C ∩ S) = P(C ∩ S) ÷ P(S) × P(S)

P(C ∩ S) = P(C ∩ S) × P(S)

We know that P(S) = 48% and we can use the formula for the union of two events to find P(C ∪ S):

P(C ∪ S) = P(C) + P(S) - P(C ∩ S)

Substituting in the values we know:

63% = 41% + 48% - P(C ∩ S)

P(C ∩ S) = 41% + 48% - 63% = 26%

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Jim must pay tax  $3.57.

The correct answer is (a) $3.57.

To calculate the sales tax that Jim must pay, we need to find 7% of the total cost of the shoes and laces.

The total cost of the shoes and laces is $50 (shoes) + $1 (laces) = $51.

To calculate the sales tax, we multiply the total cost by the tax rate:

Sales tax = 7% of $51

\(= 0.07 \times $51\)

= $3.57.

Therefore, Jim must pay $3.57 in sales tax.

The correct answer is (a) $3.57.

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Answer:

1/2 X 7 X 3 X 3 = 31.5

Step-by-step explanation: