Part A Giulio is looking to take out a loan of $5,000 that he plans to pay back over the next 3 years. He has two options: • The first option includes a simple interest rate of 2.8%. • The second option includes an interest rate of 2.7% compounded monthly. Find the balance that Giulio would pay for each loan option. Type the correct answer in each box. Use numerals instead of words. If necessary, round to the nearest hundredt If Giulio chooses the first option with simple interest, he will pay a total of $ If he chooses the second option with the lower rate and compound interest, he will pay a total of $​

Using the graph given:

1. 1. Initial height of plane A: 4 miles.

2. Plane B was 1 mile.

3. The time both planes fly at exactly the same height is: 20 seconds.

A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.

Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.

Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).

Therefore:

1. The initial height of plane A is at 4 miles.

2. After 40 secs, the height of plane B was 1 mile.

3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.

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Answer: I think its y = x - 2

Step-by-step explanation:

-8 to -2 is a positive increase of 6

-10 to -4 is a positive increase of 6

rise/run    

6/6  = 1/1

so the slope is x

then the y-intercept is given

Answer:

C: Y=x-2

Step-by-step explanation:

Slope intercept form is y=Mx+b

M is slope and b is y intercept

To find slope we use y2-y1/x2-x1

5-1/7-3

4/4

1 is the slope

To find the y intercept we look at when x is zero on the table and y is -2 so now we can make an equation

y=x-2

Hopes this helps please mark brainliest

If A and B are complementary angles, m∠A = 41° and m∠B = (2x + 19)° then the value of x is 15°

What are complementary angles?

When the sum of two angles is 90°, then the angles are known as complementary angles.

According to the given question:

Angles A and B are complementary to each other.

Measure of angle A is 41°

Measure of angle B is 2x + 19

Since the angles are complementary to each other, sum of angles is 90°

∴ 41° + 2x + 19 = 90°

2x = 30

x = 15°

Hence the value of x is 15°

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According to the area of the rectangle, the dimensions of each pen will be 15.5 feet by 15.5 feet​

Area of rectangle:

Basically, the area of the rectangle refers the region occupied by a rectangle within its four sides or boundaries.

Given,

Here we need to find the dimensions of the rectangular dog park split into two pens (sharing a fence) of the same size producing the greatest enclosed area given 240 ft of fencing

Let us consider the length of the rectangle is l and the width of the rectangle is w.

Here in the given question, the length and width of the will be same.

Then the it can be calculated as,

=> 240 = s²

=> s = √240

=> s = 15.5

Therefore, the dimension is 15.5 feet by 15.5 feet.

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Answer:

The sum of 6 times a number and 7 turned into an equation would be:

6n + 7

Step-by-step explanation:

I found this out because the term "sum" means addition, and if you are multiplying 6 by a number, you are supposed to simplify the "number" into n. So, that's what I did:

6n + 7

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Answer:  |-2|  is greater

Step-by-step explanation:

I hope it's right(Which i'm like 99.9 percent sure it is)

Answer:

|-2| < -4

Step-by-step explanation:

Take the absolute value of -2.

Which is 2.

2 is larger than -4.

The equation A, in terms of x, will be (30-6x=12) where x represents the price of one coffee cup.

According to the question,

We have the following information:

The original amount of money on the gift card was $30 and after buying 6 cups of coffee, the card had a $12 remaining balance.

Now, let's take the cost of 1 cup of coffee to be $x.

So, the total cost of 6 coffee cups will be 6x.

Now, the remaining balance will be equal to the amount spent in buying 6 cups of coffee subtracted from the original balance.

So, we have the following expression:

30-6x = 12

Hence, the equation A, in terms of x, will be (30-6x=12) where x represents the price of one coffee cup.

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The store's profit on the video game is $35.

According to the question,

We have the following information:

Elsie bought a video game for $85.00. And the store charges 170% of its cost for the game.

Now, let's take the original price of the video game to be $x.

So, we have the following expression:

170% of x = 85

170x/100 = 85

Using the cross multiplication method:

170x = 85*100

x = 8500/170

x = 50

So, we have the cost of the video game.

Now, we know that the formula to find the profit is as follows:

Profit = Selling price - cost of the product

Profit = $(85-50)

Profit = $35

Hence, the store's profit on the video game is $35.

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The function f(x)=[tex]x^2[/tex]-2x+3 after putting x=1 then f(1)=2.

What is function?

An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. In mathematics, a function is defined as a relation f between a set A (the function's domain) and a set B (its co-domain). f = (a,b)| for all values of a A and b B. Every element of set A must have exactly one image in set B for a relation to be considered a function. A relation from a non-empty set B is called a function if it has the property that no two separate ordered pairs in f have the same first element.  

Here the given function is ,

=> f(x)=[tex]x^2[/tex]-2x+3

Now put x= 1 then

=> f(1) = [tex]1^2[/tex]-2(1)+3

=>f(1) = 1-2+3

=> f(1) = 2

Hence the value of f(1)=2.

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I assume it stays the same

Answer: 8x + 48y - 40

Step-by-step explanation:

Rearrange The Terms

-8(-6y - x + 5)

-8(-x - 6y + 5)

Distribute Them

-8(-x - 6y + 5)

=8x + 48y - 40

Answer:

534.1875

Step-by-step explanation:

7500 ⋅ (1+3.5%)²-7500

534.1875

Answer:

37.8 litres

Step-by-step explanation:

V=a*b*c

a=1.5m=150cm

b=1.8m=180cm

c=1.4cm

1l=1000cm³

V=150cm*180cm*1.4cm=37800cm³

(37800cm³:1000cm³)*l=37,8l

Answer:

x = 29

Step-by-step explanation:

[tex]2x - 2 + x + 5 = 90[/tex]

[tex]3x + 3 = 90[/tex]

[tex]3x = 87[/tex]

[tex]x = 29[/tex]

Answer:

  (d)  x equals the quantity negative 5 times y plus 9 end quantity over 4

Step-by-step explanation:

You want to solve for x: 4x +5y = 9.

This can be treated like any other 2-step equation. First isolate the variable term of interest. Then divide by its coefficient.

  4x = -5y +9 . . . . . . subtract 5y

  x = (-5y +9)/4 . . . . . divide by 4

The inequality is 2 ≤ a ≤ 3.

What is inequality ?

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. The equal sign is substituted between by the less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. It's not always necessary to balance an equation in mathematics by using the "equal to" symbol on both sides. When something is more than or less than another, it can sometimes be said that the two are not equal.

-2 ≤4-3a ≤ 13

-2 -4≤-3a ≤ 13-4

-6 ≤-3a ≤ 9

-6/3 ≤-a ≤ 9/3

2 ≤ a ≤ 3

Hence the inequality will be 2 ≤ a ≤ 3.

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48 students can fit in one bus.

Given, a group of 234 students are going to see a thanksgiving parade, traveling in 4 busses and 3 vans.

Each bus holds 6 more than 3 times a number a van can hold.

Let the van holds 'x' students

then, bus holds 6 + 3x students

Now, according to the question

4(6 + 3x) + 3x = 234

24 + 12x + 3x = 234

24 + 15x = 234

15x = 234 - 24

15x = 210

x = 210/15

x = 14

So, bus holds 6 + 3x students

= 6 + 3(14)

= 6 + 42

= 48

Hence, 48 students can fit in one bus.

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Answer:

66%

Hope this helps! :)

The graph of the polygon with given vertices and its image after a dilation with a scale factor k = 0.25 is as shown below.

In this question, we have been given the coordinates of the vertices of polygon.

We need to graph the polygon with given vertices and its image after a dilation with a scale factor k = 0.25

The coordinates of the polygon are:

J = (4, 0 ), K = (-8, 4), L = (0, -4), M = (12, -8)

The coordinates of the polygon after a dilation with a scale factor k = 0.25 would be:

J' = (1, 0), K' = (-2, 1), L' = (0, -1), M' = (3, -2)

Therefore, the graph of the polygon with given vertices and its image after a dilation with a scale factor k = 0.25 is as shown below.

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If Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. Then  new selling price for a signed sci-fi book is $25.52

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Danny wants to buy the new sci-fi book for $15.75.

Some of the books were signed by the author, and those cost an additional 60%

We need to calculate 60% of 15.75

Change 60% to decimal value by dividing with 100

60/100=0.6

Now multiply 0.6 with 15.75 to find 60% of 15.75

0.6×15.75

9.45

So 9.45 is the cost of books.

Add 15.75 with 60% amount

$15.75+$9.45

$25.52

Hence the new selling price for a signed sci-fi book is $25.52

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The probability of getting at least 1 paperback when a person takes 3 books at random out of 15 books will be 0.736.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Here,

Total selection=15C3

selection of none being paperback=10C3

Required probability=(15C3-10C3)/15C3

=(455-120)/455

required probability=0.736

When three books are chosen at random from a group of fifteen, there is a 0.736 percent chance that at least one paperback will be obtained.

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The solution of linear equation x/6-3 = 2 is given by x=30.

Given the linear equation is,

x/6 - 3 = 2

Solving the linear equation we get,

x/6-3 = 2

x/6-3+3 = 2+3, adding 3 to both sides

x/6 = 5

x = 5*6, multiplying 5 to both sides

x = 30

Hence the solution for the given linear equation is x=30.

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If Minstrel Manufacturing incurred total overhead costs of $167,800 during the month, the underapplied overhead was $2,800.

Underapplied overhead arises when the applied overhead is less than the actual overhead incurred.

On the other hand, overapplied overhead suggests that the applied overhead is more than the actual overhead incurred.

Overhead application is the allocation of overhead costs to units of products or jobs using a predetermined application rate.

Predetermined overhead application rate = 150% of direct labor cost

Direct labor cost = $110,000 ($150,000 - $40,000)

Applied overhead = $165,000 ($110,000 x 150%)

Actual overhead = $167,800

Underapplied overhead = $2,800 ($165,000 - $167,800)

Thus, during the month, the company underapplied overhead by $2,800.

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Answer:

16 : 3

Step-by-step explanation:

(a+3b)/5=(a-b)/2 or 2 (a+3b) = 5 (a-2b) or 2a + 6b = 5a-10b or 3a. or a/b = 16/3 so a.b = 16:3

The equation of line 1 is y = (-2/3)x + 5.

The equation of line 2 is y = (-2/3)x.

The graph is shown below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Line 1:

y = (-2/3)x + 5 ____(1)

m = -2/3

y-intercept = 5

Line 2:

It is parallel to line 1 so,

m = -2/3

y-intercept = 0

The equation of line 2 is

y = -2/3x ______(2)

We will make the graph for equations (1) and (2) as shown below.

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Answer:

y = 4x - 9

Step-by-step explanation:

y = mx + b

m = (y_2 - y_1)/(x_2 - x_1) = (-17 - (-5))/(-2 - 1) = -12/(-3) = 4

y = 4x + b

-5 = 4(1) + b

-9 = b

y = 4x - 9

The simplified expression is 17xy( 3 - 2y).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

51xy − 34xy²

Now, factorizing

51xy= 3 x 17 × x × y

34xy² = 2 ×17 × x × y ×y

So, the simplification can be

51xy − 34xy²

= 3 x 17 × x × y- 2 ×17 × x × y ×y

= 17xy( 3 - 2y)

Hence, the simplified expression is 17xy( 3 - 2y).

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The amount of each legacy is 55 , 275 , 385 , 605.

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

equations:

a + b + c + h = 1320

a+h = b+c

b+h = 2(a+c)

c+h = 3(a+b)

---------------------

Rearrange:

a + b + c + h = 1320

a - b - c + h = 0

2a- b +2c - h = 0

3a+3b -c - h = 0

--------------------------

I used my TI-84 to get:

a = 55

b = 275

c = 385

h = 605

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Answer:

 A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5.

Answer: B

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{2}[/tex] x - 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (16, 13 ) and (x₂, y₂ ) = (4, - 5 )

m = [tex]\frac{-5-13}{4-16}[/tex] = [tex]\frac{-18}{-12}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (12, 13 ) , then

13 = 24 + c ⇒ c = 13 - 24 = - 11

y = [tex]\frac{3}{2}[/tex] x - 11 ← equation of line