Your parents are renting an apartment for you when you go away to college. An annual contract is $502.00/month with a 2-month penalty if you break the lease. The month-to-month contract is $615.00/month. Say you leave after 6 months. How much is the difference in the amount paid between the two contracts?

Answers

Answer 1
Answer:

Answer:

The difference in the amount paid between the two contracts is $326.

Step-by-step explanation:

Given : An annual contract is $502.00/month with a 2-month penalty if you break the lease. The month-to-month contract is $615.00/month. Say you leave after 6 months.

To find :  How much is the difference in the amount paid between the two contracts?

Solution :

Annual contract: The annual contract means a contract for 12 months. There is a month penalty for breaking the lease. 

In our case the penalty is 2 month means if you left after 6 months, you will have to pay for 8 month.

Total paid = Monthly payment × 8

Total paid = 502 × 8 = $4016

Month-to-month contract: The payment is for actual month stayed.

You will only paid for the 6 months you stayed,

Total paid = Monthly payment × 6

Total paid = 615 × 6= $3690

To get the difference in the amount paid between the two contracts is

Difference = Annual contract - Month-month contract

Difference = 4016 - 3690 = $326

Therefore,The difference in the amount paid between the two contracts is $326.

Answer 2
Answer: 4016 for 6 months plus 2 month penalty for the annual contract

3690 for month to month contract

Difference 326 less from the month to month

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Describe the shape resulting from a vertical, angled, and , horizontal cross section of a rectangular prism.

Answers

The shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram

What is a cross-section of an object?

A cross-section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross-section of an object therefore represents an infinitesimal "slice" of a solid, and may be different depending on the orientation of the slicing plane.

Given is a rectangular prism, we need to define its cross-section

The vertical and horizontal cross-section are fairly straight forward. They are simply mirror images of the outward showing faces.

The angled cross-section is a bit more complicated and there's a lengthy proof involved, but long story short, the angled cutting plane divides the 3D solid such that we have 2 sets of lines that have the same slope (if we consider a 2D view), which leads to 2 sets of parallel sides.

Hence, the shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram

Learn more about cross-section, click;

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For example, lets say:
L = 10
H = 6
W = 4

Imagine the shape is facing slightly towards your left
A left vertical cross section (perpendicular to the base) of the cuboid would result in a 10 by 6 rectangle
A right vertical cross section (perpendicular to the base) of the cuboid would result in a 6 by 4 rectangle
A horizontal cross section (parallel to the base) of the cuboid would result in a 10 by 4 rectangle
An angled cross section (through the middle) would also give a rectangle but the dimensions would be different. If the cut went from one '4' edge to the one in the opposite corner, the length of that would be found using Pythagoras
a² + b² = c²
6² + 10² = c²
36 + 100 = 136
√136 ≈ 11.66cm
11.66 by 4 rectangle

The shows that the resulting shape will always be a rectangle for these cross sections.
The only case in which it would not, would be if one of the faces of the cuboid was a square - in which case one of the cross sections would also be a square.

Is this equation standard form of an ellipse or circle?-3x^2-3y^2-12x-12y+24=0
What's the center?

Answers

The standard form equation for a circle is

(h-x)^2+(k-y)^2=r^2

where (h, k) is the center and r is the radius.

The standard form equation for an ellipse is

((x-h)^2)/(a^2)} + ((y-k)^2)/(b^2) = 1

(center h, k and major and minor axes a and b)

This equation is standard form for neither, but might be general form for one.

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Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes? How does this work i cant really figure it out

Answers

For this case, the first thing we must do is define variables.

We have then:

t: the time in minutes

k: the number of kilometers

The relationship between both variables is direct.

Therefore, the function is:

Where, "c" is a constant of proportionality.

To determine "c" we use the following data:

After running for 18 minutes, she completes 2 kilometers.

Substituting values:

Clearing c we have:

Then, the equation is given by:

Answer:

An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is:

k (t) = (1)/(9) * t

First of all you want to see how long she runs for 1 km and you can figure that out by doing 18/2 and 54/6, they both equal to 9.
So that means that Julissa is running an average of 9 kilometers per minute creating the equation of : t = 9k

If all four sides of an quadrilateral measure the same length, and one corner angle measures 90 degrees, circle the shape that the quadrilateral can b classified asRhombus
Square
Rectangle
Parallelogram
All the above

Answers

Answer:

All of the above

Step-by-step explanation:

ALL of the above quadrilaterals have all these characteristics.

A literal equation has only one variable.
True
False

Answers

<b>The answer is False.</b>

<b>The reason is that, the letters or variables in a literal equation are like parameters that can be any real number.</b>

A literal equation has two or more variables or letters, that are used to represent real values.

An example is the perimeter of a square, which is given by the formula,

P=4l
Here, the P represents perimeter of the square and l represents the length of the square.

Since the length of a square can assume any positive value,the above literal equation has <b>infinitely many solutions</b>.

For instance, if

l=1, P=4*1=4

l=2, P=4*2=8

and so on and so forth.

Other examples of literal equations include:

The perimeter of a rectangle, which is given by the formula:

P=2w + 2l

The formula for finding the perimeter of a circle:

C = 2 \pi \: r

The set of values that satisfy the above formulas are infinitely many.

This statement is actually false.

I have provided proof and wish you all the best (grade).


Which statement is true about the equation 3.5z = 2.25z − 4.25 + 6.25?It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

It has one solution, hope that helped

B. It has one solution

z=1.6