: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.

0.08

Step-by-step explanation:

When you convert percent to decimal, you have to remember that 1= the whole.

Do to convert it, you divide the whole number (8%) by 100 (0.08). Vice versa, you multiply by 100

Answer:

$52

$57.6

Step-by-step explanation:

$20 off $72 is equal to 72-20=$52

20% of $72 is $14.4 which will then lead to 72-14.4=$57.6

Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)

Given, rectangular box with largest volume.

Let f(x , y , z) = xyz

Ф ≡ xy + yz + xz - 2  = 0

[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]

[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]

[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]

xy + yz + xz - 2 = 0........4

Solving the above 4 equations,

[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]

Evaluating the lambda values,

x = y

Similarly, y = z

Therefore, x² + x² + x² - 2 = 0

x = √2/3

y = √2/3

z = √2/3

Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)

Know more about rectangle,

https://brainly.com/question/31663437

#SPJ4

Answer:

For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function

Step-by-step explanation:

The relation is a function if and only if each input value has only 1 output value

Examples:

Let us solve the question

Use the given figure to find the inputs and their corresponding outputs

Set A →→→→ Set B

∵    -3 →→→→ 2

∵    -4 →→→→ 4

∵     9 →→→→ -2

∵      1 →→→→ 7

∵ Set A is the input and set B is the output

∵ There is only one arrow go from each value in set A to a value in set B

∴ For each number in set A, there is one mapping from set A to set B

∴ The mapping represents a function

For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function

Answer:

iloveyou

Step-by-step explanation:

The expression that represents sixty divided by the difference of t cubed and nineteen will be 60 / (t³ - 19).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The cube of the t is written as t³. Then the difference between the expression t³ and the numerical number 19 will be given as,

⇒ t³ - 19

Then the expression that represents sixty divided by the difference of t cubed and nineteen will be given as,

⇒ 60 / (t³ - 19)

The expression that represents sixty divided by the difference of t cubed and nineteen will be 60 / (t³ - 19).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

5x+7

Step-by-step explanation:

2x + 6 + ( 3x + 1 )

2x + 6 + 3x + 1

5x +7

Answer:

16-22

Step-by-step explanation:

Answer:

i agree with the other person

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i looked it up

Step-by-step explanation:

I hope this helps : ) I added an attachment for your answer.

9514 1404 393

Answer:

  C  4x -2y = 1

Step-by-step explanation:

The y-intercept of the offered choices can be found by dividing the constant by the y-coefficient.

  A: not in standard form (coefficients are not integers)

  B: 2/-5 = -2/5 . . . not -1/2

  C: 1/-2 = -1/2 . . . a good candidate

  D: 1/-1 = -1 . . . not -1/2

Answer:

took me time to try and answer your question hope it proves helpful

Answer:

slope is 4/3 and y intercept is -7

Step-by-step explanation:

3y+21=4x.........now subtract 21 from each side

3y=4x-21......now divide all terms by 3

y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7

Answer:

B (-3,8)

Step-by-step explanation:

awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21

awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.

Best apologies if incorrect

Answer:

(3,-3)

Step-by-step explanation:

First, plot the ordered pair (-2,-4). Since you're reflecting the ordered pair across the x-axis, change the -4 to a positive 4. Your new ordered pair should be (-2,4). The order pair when reflected across the x-axis is changing the positive or negative of the y value but keeping the x value the same(simple definition). Afterward, move/translate that reflected ordered pair across 5 units to the right which is (3,4). The last step is to translate that order pair 7 units down which will then give you your answer of (3, -3). I hope this helps you, I tried explaining it the best I could!

The coordinates of the image of the point (-2, -4) will be (3, -3).

Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.

Given is a point (-2, -4) which is reflected along the x - axis.

Now, when a point is reflected across the x - axis, then its final coordinates will change according to the rule -

(x, y)  ↔  (x, -y)

The given coordinates are (-2, -4) which on being reflected across the x - axis will  become (-2, 4).

Now, it is given that after reflection, it is translated five units right and seven units down. We can define it by the rule -

(x, y) ↔ (x + 5, y - 7)

So the new coordinates of the image will be -

(-2, 4) ↔ (-2 + 5, 4 - 7) or (3, -3)

Therefore, the coordinates of the image of the point (-2, -4) will be (3, -3).

To solve more questions on graph translation, visit the link below-

https://brainly.com/question/11805053?referrer=searchResults

#SPJ5

Answer:

The answer is below

Step-by-step explanation:

Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of  270 pounds per tree, therefore:

Y(x) = 270    for x ≤ 30

If it is more than 30 trees the yield decreases by 3 pounds, hence:

Y(x) = 270 - 3(x - 30) = 360 - 3x   for x > 30

The total yield T is given as T(x) = x × Y

T(x) = x × 270 = 270x   for x ≤ 30

T(x) =  x(360 - 3x) = 360x - 3x²   for x > 30

The maximum yield is at T'(x) = 0

T'(x) = 360 - 6x

360 - 6x = 0

6x = 360

x = 360/6

x = 60

T(6) = 360(60) - 3(60²) = 10800 pounds

Answer:

1 hand = 10.16 cm.

Step-by-step explanation:

This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.

Step-by-step explanation:

Orlando's number of apps = 22

Maria's number of apps = 7

Given,

Maria has 15 fewer apps on her phone than Orlando.

The total number of apps on both phones is 29.

We need to find out how many apps are on each phone.

- M fewer than N by 2

This means if N = P then M = P - 2

- M more than N by 2

This means if N = P then M = P + 2

We have,

Total number of apps = 29 _____(1)

Maria has 15 fewer apps on her phone than Orlando.

We can write this as:

Orlando's number of apps = O.

Now,

Maria's number of apps = O - 15

Now,

From (1)

Orlando's number of apps + Maria's number of apps = 29

O + O - 15 = 29

2O - 15 = 29

2O = 29 + 15

20 = 44

O = 44/2

0 = 22

Orlando's number of apps = 22

Maria's number of apps = 22 - 15 = 7

Thus,

Orlando's number of apps = 22

Maria's number of apps = 7

Learn more about how to find the number of apps for each person here:

https://brainly.com/question/13502950

#SPJ2

Answer:

Yes the trainer was successful in an attempt for lucky to gain weight.

Step-by-step explanation:

Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.

Answer:

It would be x + 3y = -27.

Answer:

Yes, both of them are correct.

Step-by-step explanation:

I don't have enough time to explain, sorry!!

Have a wonderful day c:

Answer:

80

Step-by-step explanation:

Answer:

90 miles

Step-by-step explanation:

1erhhjbcfikbv

Answer:

90

Step-by-step explanation:

180/2 = 90 (divided by 2 basically is saying half of 100% and in this case 180 is the 100%)

Answer:

68 feet

Step-by-step explanation:

A submarine cruised  below the surface of the water

During training exercise, each time descending= 45 feet

Number of dives= 4

Total distance he descended= 45×4 feet

Total distance he descended= 180 feet

Then, it rose by= 112 feet

Now , the distance he is at below the surface if water= 180- 112

The distance he is at below the surface if water= 68 feet

Now, he is at 68 feet below the surface of the Earth

Hence, the correct answer is 68 feet

Step-by-step explanation:

Answer:

3f+6

Step-by-step explanation:

To solve this, we combine like terms which are in this case 4f and f.  4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.

Answer:

4

Step-by-step explanation:

First, you need to take the cost of the magazine off the total which Jayda spent

34-6=28

Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.

28÷7=4

Each bag of marshmallows costs 4

Answer:

Zero of the function = (-6, 0)

Step-by-step explanation:

Let the equation of the function given in the graph is,

y = mx + b

where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

b = y-intercept of the line

From the graph attached,

Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5

y - intercept 'b' = -9

Therefore, equation of the line will be,

y = -1.5x - 9

Function representing this line will be,

g(x) = -1.5x - 9

Zeros of the given function will be,

g(x) = 0 Or x-intercept

-1.5x - 9 = 0

x = -6

Therefore, zero of the given function is (-6, 0).