Please help. I've been trying to answer this question but I haven't been successful.

To find which of the lines represent the solution we first need to solve the inequality:

the last line is equivalent as:

Now that we have the solution we can look at the line that represents it. The solution tells us that y is less or equal to 3, this means that the solutions are to the left of the number 3. Now, since the inequality is not an exact one that means that the 3 is also a solution, which also means that the circle over the 3 has to be a solid one.

With this in mind we conclude that the line representing the solution is the third option.

SOLUTION

We will use the formula

Where FV represents the future value annuity

P = Periodic payment = 1300

r = interest rate = 4.2% = 0.042

n = number of periods = 17 years.

So we have

Hence, the answer becomes $31,341 to the nearest dollar

Answer:

600ft

Step-by-step explanation:

Because a triangle is half of a rectangle, the area can be found by taking the base times height and dividing by 2.

A = (b * h)/2

A = (40 * 30)/2

A = 1200/2

A = 600ft

We are given the following equation of a line.

Let us first solve the above equation for x.

Divide both sides of the equation by -2

So, the solution is x = 0

This means that the two ordered pairs must contain the x-coordinate 0 and the y-coordinate can be any value you like.

For example:

(0, -5) and (0, 5)

Here the x-coordinate is 0 and the y-coordinate is -5 and 5.

Let us plot these ordered pairs and the line on the given graph.

To answer this question we need the equation of a parabola that uses the distance from the focus to the vertex.

This formula is,

where,

p is the distance from the focus to the vertex, and the point (h,k) is the vertex.

Let us now substitute the data into the equation of the parabola,

Hence, the equation for the parabola is, x² = 8y.

Option C is the correct answer.

Given the parent function

From the graph,

The range of the function is best modelled by the interval

Comparing the function with general equation of the cosine function,

The formula for the period is,

There

1. Caitlyn is going away to college and will need to rent a truck to help

move. The cost of the truck is $35 plus $0.79 per mile. If her college

is 85 miles away and she budgeted $100 for the rental, will she have

enough money?

we know that

The equation in slope intercept form of this situation is

y=mx+b

where

m=$0.79 per mile

b=$35

y -----> is the total cost

x -----> the number of miles

so

y=0.79x+35

so

For x=85 miles

substitute

y=0.79(85)=35

y=$102.15

we have that

102.15 > 100

therefore

We will have that $2200 represent the 100%, then how much money does 12% represent.

In order to solve for the ammount of money we multiply the invested ammount ($2200) times the percentage we want to know (12%) and divide it by 100%, that is:

Here we can see, he earned $264 in those 2 years.

56º,34º

1) A kite is a quadrilateral that according to the following theorem:

2) And examining that picture, we can tell that the angle labeled as 8x is congruent to its opposite counterpart.

3) In addition to this, but not less important that bigger diagonal bisects that the other pair of opposite angles. So we can sketch the following

So we can pick one triangle and write out the following according to the Triangle sum theorem:

4) Finally, let's plug into each one the quantity of x and get the measure of those angles:

The coordinates of segment RS are obtained as R(6, -1) and S(1, -5) for the given translation.

For the given question;

Segment RS is translated by (x+1, y-2).

Then, the image formed is again reflected over the x-axis to form R" S" has coordinates R" (7,3) and S" (2,7).

To find the measure of R and S, first find the x -axis reflection of R" S".

As,  RS was translated by (x+1, y-2).

Then, subtract 1 and add 2 to its coordinates.

Thus, the coordinates of segment RS are obtained as R(6, -1) and S(1, -5).

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Choose the scenarios that demonstrate a proportional relationship for each person's income.

Millie works at a car wash and earns $17.00 per car she washes.

Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.

Carla makes sandwiches at her job and earns $7.85 per hour.

Tino is a waiter and makes $3.98 per hour plus tips.

SOLUTION;

Step 1:

65 adult's ticket and 85 children's ticket was sold

Let the number of tickets for children = x

Let the number of adults ticket = y

Total tickets = 150

x + y = 150 ....equation 1

The cost of tickets per child = $4.75

The cost of tickets per adult = $7.50

Total revenue from tickets = $891.25

Total revenue from tickets = The cost of tickets per child × number of children ticket +

The cost of tickets per adult * number of adults ticket

891.75 = 4.75(x) + 7.5(y)

891.75 = 4.75x + 7.5y ...equation 2

x + y = 150 ....equation 1

891.75 = 4.75x + 7.5y ...equation 2

Using substitution method by making x the subject of formula in equation 1:

x = 150 - y

Substitute for x in equation 2:

891.25 = 4.75(150 - y) + 7.5y

891.25 = 712.5 - 4.75y + 7.5y

891.25 = 712.5 + 2.75y

891.25 - 712.5 = 2.75y

178.75 = 2.75y

y = 178.75/2.75

y = 65

Substitute for x in equation 1:

x + 65 = 150

x = 150 - 65

x = 85

Hence, 65 adult's ticket and 85 children's ticket was sold

Given data:

The given sets of equations.

The polynomial in which degree of the variable is 1 is said to be linear expression.

The first option 2x+3y=6 is only linear function.

Thus, the option (A) is correct.

Third row:

The balance stays the same as the previous row ($337.52).

We have 12 days between 9/7 and 9/18, so we can calculate the product/sum as:

NOTE: the product/sum will be used to calculate the average balance for the month.

Fifth row:

The balance stays the same as the previous row ($399.78).

We have 11 days between 9/20 and 9/30.

Then, the product/sum is:

Total:

The total product/sum is:

Average daily balance:

We can take the total product/sum and divide by the total amount of days.

Finance charge:

New balance:

The new balance is $404.41.

Dilation involves adjusting the size of an object or a figure, without altering its shape.

The object can be increased or decreased depending on its scale factor.

A scale factor less than 1 results in a figure of reduced dimensions whereas, a scale factor greater than 1 results in a figure or an object of enlarged dimensions.

In the ΔABC, a dilation of 4/3, which is greater than 1, will thus result into an enlargement.

The correct option is B.

Sharon lives [tex]4\frac{7}{20}[/tex] miles away from Lisa .

In the question ,

it is given that

distance between Sharon and Library is [tex]1\frac{3}{5}[/tex] miles .

distance between Library to Lisa's house is [tex]2\frac{3}{4}[/tex] miles .

So according to the question

distance between Sharon's house and Lisa's house = (distance between Sharon and Library) + (distance between Library to Lisa's house) .

On substituting the values from above ,

we get ,

distance between Sharon's house and Lisa's house = [tex]1\frac{3}{5}[/tex] + [tex]2\frac{3}{4}[/tex]

= (5+3)/5 + (8+3)/4

= 8/5 + 11/4

taking LCM as 20 and solving further we get

= 32/20 + 55/20
= 87/20

= [tex]4\frac{7}{20}[/tex]

Therefore , Sharon lives [tex]4\frac{7}{20}[/tex] miles away from Lisa .

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The equation  5x+7 = 4x+8+x-1 is true for all real numbers.

Solution for the equation is 5x + 7 = 5x + 7.

Given,

The equation;  5x+7 = 4x+8+x-1

We have to find the solution for this equation.

Here,

5x + 7 = 4x + 8 + x - 1 = 5x + 7

The equation is true for all real numbers;

Lets check;

 5 x 6+7 = 4 x 6 + 8 + 6 - 1

30 + 7 = 24 + 13

37 = 37

 5 x 15 + 7 = 4 x 15 + 8 + 15 - 1

75 + 7 = 60 + 22

82 = 82

That is,

The equation 5x + 7 = 4x + 8 + x - 1  is true for all real numbers.

The solution for the equation is  5x + 7 = 5x + 7.

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Given:

There are two competing companies.

Required:

We need to find the alternative hypothesis

Explanation:

If the null hypothesis assumes equal average salaries (i.e. no difference), then the alternative can take on three cases:

A)

One mean is greater than the other

B)

One mean smaller than the other

C)

The means are not equal

Now here A and B sound the same, so I shoukd be more precise,

Answer: By inspecting the triangle we can come up with the following relationships, using the proportionality:

Solving the three equations, (1) (2) and (3) gives the answer for x,y,z which are the three sides of the smaller triangle, the steps are as follows:

Therefore the perimeter is as follows:

a number that can be written as the ratio of two integers (option B)

Irrational number cannot be written in the fractional form

Rational numbers can be written in the form of fraction

Checking the options:

a) Circumference = πd

where d = diameter

π = Circumference/diameter

π is an irrational number

b) A number written as ratio of two intergers can be written in the form of fraction

Hence, it is rational

c) A number that we can use in solving an algebraic equation can be any real number.

From a real number, we have rational and irrational numbers. So, there is the likelihood we get an irrational number

d) side of a square = a

diagonal² = a² + a²

length of diagonal of a square = √(a² + a²) = √2a²

This can also yield either irrational or rational numbers.

A number that cannot be irrational means a number that is rational.

From the option, the only one without doubt that it is rational is a number that can be written as the ratio of two integers (option B)

The amount of money that Abdul is going to donate to the City Youth Fund is denoted by x, and the amount of money that Abdul is going to donate to the Educational Growth Foundation is denoted by y.

Since Abdul will donate up to $500, the sum of those amounts must be less or equal to 500.

It is not possible to donate less than zero, therefore, we also have the following constrains

Abdul wants the amount of money donated to the Educational Growth Foundation to be at least 4 times the amount of money donated to the City Youth Fund, therefore, we have our final constrain

Combining those four regions, the solution is their interception, which is

To perform this multiplication, first, we have to transform the mixed numbers into fractions as follows:

Substituting these values into the multiplication, we get:

This result can be expressed as a mixed number as follows:

Step 1: Rodney Hampton earned $75,200 as a self-employed worker

% tax rate for self employed = 15.3%

Step 2: Rodney Hampton earned $41,350 as a employee worker

%tax rate for employee = 7.65%

Step 3: FICA tax paid for both earnings = $11505.6 + $3163.3

= $14668.875

=$14668.88

Hence FICA tax paid for both earnings = $14668.88

To solve the exercise, it is helpful first to draw the situation that the statement describes:

The total area of ​​the figure will be

Then, we can calculate the area of ​​the square using the following formula:

So, we have:

Now, we can calculate the area of the triangle using the following formula:

So, we have:

Finally, we calculate the total area of ​​the figure

Therefore, the total area of the figure is 112.5 square inches, and the correct answer is option C.

From the problem we have

We replace in t

Solution

The diagram below will be of help

From the above, we have two sides to be equal and an angle to be equal

Therefore, the answer Side, Angle, Side (SAS)

Solution:

Given:

The circumference (C) of a circle is given by;

Hence,

Thus,

Therefore, the circumference of the circle is 100.48m

We will have the following:

First, we determine the area of the square and of the shaded region, that is:

Now, we will have that the probability will be of:

So, the probability is approximately 79%.