Antonio has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly. Antonio will pay each of them back by making monthly payments, starting as he graduates. Antonio’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 5,894 6. 9 Y Senior 5,258 7. 5 N Once all of his loans are paid off, what will Antonio’s total lifetime cost be? Round all dollar values to the nearest cent. A. $16,246. 80 b. $17,804. 40 c. $7,593. 16 d. $9,874. 76 Please select the best answer from the choices provided A B C D.

Answer:

16 cubic units

Step-by-step explanation:

Volume of 1 block = 1 cubic unit

No. of blocks = 16

Total volume = 1  x 16

= 16 cubic units

The total volume of the figure is 16 cubic units if the volume of 1 block is 1 cubic unit.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have:

1 block = 1 cubic unit

Total number of blocks = 16

Total volume of the figure = 1×16 = 16 cubic units

Thus, the total volume of the figure is 16 cubic units if the volume of 1 block is 1 cubic unit.

Learn more about the cube here:

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Answer:

x=8

Step-by-step explanation:

3x+16=5x

16=2x

8=x

Answer:

first answer is y = 2x + 2

second answer is y = 1/4x + 6

Step-by-step explanation:

sooo to find the slope you can just count it but i feel like using the equation

y2 - y1 / x2 - x1

is better

so lets substitute

6 - (-6) / 2 - (-4)

6 + 6 / 2 + 4

12 / 6

y = 2x + b

to find b we substitute a point we did not use yet (-2, -2)

-2 = 2(-2) + b

-2 = -4 + b

b = 2

y = 2x + 2

second question:

we do the same thing

(-4, 5) (8, 8)

8 - 5 / 8 - (-4)

3 / 12

1/ 4

y = 1/4x + b

since the graph shows the y intercept (0, 6) we can input it into the equation

y = 1/4x + 6

i cant check it (with a point) because there are not a lot of exact points, but this should be the answer

Answer:

(2, 3 )

Step-by-step explanation:

5x - 4y = - 2 → (1)

2x + 4y = 16 → (2)

add (1) and (2) term by term to eliminate y

7x + 0 = 14

7x = 14 ( divide both sides by 7 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (2)

2(2) + 4y = 16

4 + 4y = 16 ( subtract 4 from both sides )

4y = 12 ( divide both sides by 4 )

y = 3

solution is (2, 3 )

Answer:

( 2 , 3 )

Step-by-step explanation:

5x - 4y = - 2 ⇒ ( 1 )

2x + 4y = 16 ⇒ ( 2 )

( 1 ) + ( 2 )

5x - 4y + 2x + 4y = -2 + 16

7x = 14

Divide both sides by 7.

x = 2

Now let us take equation (1) to find the value of y.

5x - 4y = - 2

5 × 2 - 4y = -2

10 - 4y = -2

-4y = - 2 - 10

-4y = - 12

Divide both sides by ( -4 )

y = 3

Answer:

x ≈ 28°

Step-by-step explanation:

We know the hypotenuse (the longest side) and the opposite (the side opposite x) so we can use SOH:

sine x = opposite ÷ hypotenuse

Substitute in the values:

sin x = 7 ÷ 15

sin x = 0.4666...

Now we can do the inverse of sine to find x:

x = [tex]sin^{-1}[/tex](0.466..)

x = 27.818138... ≈ 28°

Hope this helps!

Answer:

On a number line think "I'm at number 1 and if I move myself up another line, and then another, I have just added 2, and gotten myself to 3" Answer is 1+2=3. THANK YOU FOR THESE EZ POINTS!

Step-by-step explanation:

Answer:

5+6=11+1=12

Step-by-step explanation:

what is 12 halves? 6

Answer:

the answer is 31!

Step-by-step explanation:

So if you do 12 x 3 that is 36 and 36-5 is 31

so then you see if it works

31 +5 = 36

36/3 = 12

Answer:

number: 31

Let the number be x

This number is added by 5, so: x + 5

Then we divide it total by 3, so: (x + 5)/3

And this equals to 12, (x + 5)/3 = 12

Solve for unknown number:

(x + 5)/3 = 12

x + 5 = 36

x = 36 - 5

x = 31

Answer:

If a line has slope =m

then the slope of a line perpendicular to it is

(

−

1

m

)

Rewrite

5

x

+

3

y

=

8

in a slope-offset format

y

=

−

5

3

x

+

8

3

So the given equation has a slope of

(

−

5

3

)

and a line perpendicular to it has a slope of

(

3

5

)

Step-by-step explanation:

Answer:

The volume of the prism is 72 cubic cm.

Step-by-step explanation:

This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is

3 cm. * 4 cm. / 2 = 6 square cm.

Lastly, the volume of the prism is the base area multiplied by the height:

6 square cm. * 12 cm. = 72 cubic cm.

friends go scuba diving. they rent a boat for x days and scuba gear for y people, represented by the equation 120x+50y=1000

how much money is spent in total

Answer:

10

Step-by-step explanation:

say x=0

then y would be 1

increasing x by 5 makes x=5

and then 5 x 2 + 1=11

so y went from 1-11(difference of 10) with the variation

so the answer is 10

The formula is in a quadratic formula shape: [tex]y = ax^2+bx+c[/tex]

The function is negative since the value 'a' the coefficient of x^2 is negative meaning that the quadratic function is facing downards. If you don't get this explanation, take a look at the diagram I uploaded.

That means the highest point of the graph is its vertex.

But we must find where the vertex is at or the 't' value.

   't' value at which vertex is = [tex]-\frac{b}{2a} =-\frac{16}{2*(-16)} =\frac{1}{2}[/tex]

Now plug this 't' value into h(t) to find the maximum height, and we will get 36 feet.

Hope that helps!

Answer:

200 cm^3

Step-by-step explanation:

See attached image.

Answer:

D) Figure M

A) Figure J

Step-by-step explanation:

The scale that Chad used in the scale drawing is 1 inch: 9 feet

A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number.

In the ratio of an inch to feet; the scale that Chad used is:

= 1 inch : 9 feet

This is because 9 inches is divisible within the other number (i.e. 81 feet) in 9 times.

Learn more about ratio here:

https://brainly.com/question/2914376

Answer:

The eccentricity of a hyperbola is calculated using the length of the transverse axis and the length of the conjugate axis.

Step-by-step explanation:

hope it helps!!!

Answer:

The eccentricity of a hyperbola is calculated using the length of the transverse axis and the length of the conjugate axis.

Step-by-step explanation:

Brainleist

Answer:

B, C, and D.

Step-by-step explanation:

1. Finding the midpoint of a portion

2. Drawing an opposite line portion from an offered indicate a given fragment

3. Drawing an opposite line portion through a given point on a given section

4. Drawing a line through a given guide parallel toward a given line

Pls, choose me as brainliest!

Step-by-step explanation:

sin²(x) + cos²(x) = 1

cos²(x) = 1 - sin²(x)

cos(x/2) = ±sqrt((1 + cos(x))/2)

in our case

sin(x) = 1/4, tan(x) > 0, so cos(x) is positive too.

sin²(x) = 1/4² = 1/16

cos²(x) = 1 - 1/16 = 15/16

cos(x) = sqrt(15)/4

cos(x/2) = sqrt((1 + sqrt(15)/4)/2) = sqrt(1/2 + sqrt(15)/8) =

= sqrt(8/16 + 2×sqrt(15)/16) =

= 1/4 × sqrt(8 + 2×sqrt(15))

so, D is correct

Answer:

f(3)=1

Step-by-step explanation:

Basically, you go 3 units right on the x-axis starting from the origin (0,0), and go up until you touch the graph of the function. In this case, f(3)=1

Answer:

The statement that is accurate is A and pls 5 stars and brainliest

Step-by-step explanation:

Answer:

1. Scale factor - 7

Length of x - 28

2. Scale factor - 4

Length of x - 32

3. Scale factor - 3

Length of x - 9

Answer:

True if the question means a compass and straight edge.

Step-by-step explanation:

Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Answer:

True

Step-by-step explanation:

Yes, if the question means a compass and straight edge. Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Pls, choose me as brainliest!

Answer:

5/3, or 1.(6)

Step-by-step explanation:

find slope-intercept form

5x-3y=18

5x=3y+18

3y=5x-18

y=5/3x-6

slope is 5/3, or 1.(6)

The slope is 5/3 or 1.6.

It is the measure of the steepness of a line.

Given that

5x-3y = 18

Rearrange the equation

i.e. 5x-18 = 3y

y = (5/3)x - 6

The general form of the slope-intercept equation is

y = mx+c

By comparing the two equation, we get slope as

Slope of the line,m = 5/3 = 1.6

Hence, the slope of the given line is 1.6.

To learn more about slope, use the link given below:

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Answer:

=

Step-by-step explanation:

3 feet = 1 yard, so knowing this, if you divide 12 feet by 3, you get 4

Another way you could check this is if you multiply the 4 yards by 3 feet per yard. You would get 12 feet.

Either way you do it, they are equal

Answer:

=

Step-by-step explanation:

      I am going to assume that this question is asking us to compare the two measures of distance.

      To do this, we need to convert them into the same unit. I am going to convert 4 yards into feet and leave 12 ft as 12 feet.

4 yards * 3 feet in a yard = 12 feet

Using the reflexive property, 12 feet is equal to 12 feet, so '=' completes this question.

Answer:

....

....

....

...

.....

.....

Answer:

The answer is 4.16!

Step-by-step explanation:

i think that is right

Answer:

8 wholes 2 tenths 4 hundredths

Step-by-step explanation:

We just take apart the numbers and give them to other numbers. Hope it helped!

Step-by-step explanation:

the ground level but not really sure