(982x5.47)-(598x78)+28=y

The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer:

$38.25

Step-by-step explanation:

10%= 5.1

5%= 2.55

5.1 + 5.1 + 2.55 = 12.75

51.00

-12.75

38.25

Answer:

|x| - |-x| = 0

Step-by-step explanation:

Answer:

no se

Step-by-step explanation:

no se

Answer:

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

The custodian will be able to repaint 7 bookcases with the amount of paint.

Step-by-step explanation:

The custodian  has  5 1/4 gallons of  paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give  us the number.

But first we need to change 5 1/4 to improper fraction,

thus; 5 1/4 =  

5 1/4 ÷3/4   =   ÷

(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;

                   = ×

4 will cancel out 4 hence;

                    =

                    = 7

Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.

The measures are given as;

<ABC = 90 degrees

<BAC = 20 degrees

<ACB = 70 degrees

To determine the measures, we need to know the following;

Then, we have that;

Angle ABC = 180 - 70 + 20

Add the values, we have;

<ABC = 90 degrees

<BAC = 90 - 70

<BAC = 20 degrees

<ACB is adjacent to 70 degrees

<ACB = 70 degrees

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Answer:

Step-by-step explanation:

The triangle CHE is right, angle CHE is marked as right angle.

We have:

Use Pythagorean theorem to find the value of EH:

Substitute known values and solve for EH

Answer:

Step-by-step explanation:

a)  4.5m = 4.5×100 = 450 cm

b)  7.6km = 7.6×1000 = 7600 m

c)  68mm = 68÷10 = 6.8 cm

d) 190cm = 190÷100 = 1.9 m

...

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Answer:The x-intercepts (or roots) are x = -1 and x = -4.

The vertex is (-3, -1).

2nd paragraph Given the quadratic equation y = (x + 6)(x - 2), we can determine the x-intercepts, axis of symmetry, vertex, and graph of the quadratic using a few key concepts.

1. X-intercepts (or roots):

To find the x-intercepts, we set y (or the equation itself) equal to zero and solve for x. In this case, we have:

0 = (x + 6)(x - 2)

To find the x-intercepts, we set each factor equal to zero and solve for x:

x + 6 = 0   -->   x = -6

x - 2 = 0   -->   x = 2

Therefore, the x-intercepts of the equation are x = -6 and x = 2.

2. Axis of Symmetry:

The axis of symmetry is a vertical line that divides the parabola into two symmetric halves. For a quadratic equation in the form y = ax^2 + bx + c, the equation for the axis of symmetry is given by:

x = -b / (2a)

In our equation, the coefficient of x^2 is 1, and the coefficient of x is 0 (since the x-term is eliminated by the factored form). Therefore, the axis of symmetry is:

x = -0 / (2(1))

x = 0

So, the axis of symmetry is the vertical line x = 0.

3. Vertex:

The vertex is the point where the parabola reaches its highest or lowest point. For a quadratic equation in factored form, the vertex can be found by taking the average of the x-intercepts.

In this case, the x-intercepts are -6 and 2. To find the x-coordinate of the vertex, we take their average:

x = (-6 + 2) / 2

x = -4 / 2

x = -2

To find the y-coordinate of the vertex, we substitute the x-value (-2) back into the equation:

y = (-2 + 6)(-2 - 2)

y = 4(-4)

y = -16

Therefore, the vertex of the equation is (-2, -16).

4. Graph of the Quadratic:

The graph of the quadratic equation y = (x + 6)(x - 2) is a parabola. The x-intercepts are -6 and 2, the axis of symmetry is x = 0, and the vertex is (-2, -16).

The parabola opens upward since the coefficient of x^2 is positive (1). The vertex represents the lowest point on the parabola. Therefore, the graph will be U-shaped with the vertex at the bottom.

Here's a rough sketch of the graph:

```

      |        *        |

      |       * *       |

      |      *   *      |

      |     *     *     |

      |    *       *    |

      |   *         *   |

      |  *           *  |

      | *             * |

-------|*---------------|-------

      |                |

  x-axis             y-axis

```

Answer:

c and g

Step-by-step explanation:

There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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Answer:

The sum of the two expressions is zero.

Step-by-step explanation:

The expression 5a²-4a+3 can be made zero by adding the opposite of itself, which is -5a²+4a-3.

Code snippet

5a²-4a+3 + (-5a²+4a-3) = 0

This is because adding two opposites always results in zero.

In the case of the expression 5A²-4A+3B, the opposite expression would be -5A²+4A-3B.

Code snippet

5A²-4A+3B + (-5A²+4A-3B) = 0

Adding these two expressions together will result in zero, which means that the sum of the two expressions is zero.

Answer:

55.2

Step-by-step explanation:

Answer:

this would be towards the front and the very end

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

it is D 63.7 × 10`2 I am not sure if it right tho

Hey there!

• QUESTION READS….

“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”

• THE QUESTION ASKED IN EASIER WAYS

“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”

• GETTING TO KNOW SCIENTIFIC NOTATION…..

It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10

• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….

Option A.
637 km × 10^2 kn

= 637 km × 10 km × 10 km

= 637 km × 100 km

= 63,700 km

Option A. is incorrect because it is too big.

Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km

= 6.37 km × 100 km × 10 km

= 6.37 km × 1,000 km

= 6,370 km

Option B. could possibly be your answer

Option C.
637 km × 10^1 km

= 637 km × 10 km

= 6,370 km

Option C. could also possibly be your answer.

Option D.
63.7 km × 10^2 km

= 63.7 km × 10 km × 10 km

= 63.7 km × 100 km

= 6,370 km

Option D. could also possibly be your answer along with B - C.

This is a tricky answer because we have MORE THAN one result.

So, we will just ELIMINATE A, C, D to make it easier.

Thus, we will say your result is:

Option B. 6.37 × 10^3 kilometers

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

y = - 3x + 5

Step-by-step explanation:

Given

6x + 2y = 10 ( subtract 6x from both sides )

2y = - 6x + 10 ( divide all terms by 2 )

y = - 3x + 5

The correct equation for y in terms of x would be, y = - 3x + 5

Hence, option 2 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

6x + 2y = 10

Now, simplify the equation for y in terms of x as,

6x + 2y = 10

Subtract both sides by 6x,

2y = - 6x + 10

Divide both sides by 2,

y = - 3x + 5

So, The correct equation would be, y = - 3x + 5

Thus, option 2 is true.

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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

A person or married couple must submit an official form known as an individual tax return to a federal, state, or local taxing authority in order to record any taxable income they received within a certain time period, typically the previous year.

This document is used to determine how much tax was paid in excess of what was required during that time period.

In this case, if Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is:

April 15th.

October 15th.

August 15th.

November 15th.

None of the choices are correct.

Answer:

x = -8

Step-by-step explanation:

Hope This Helps!

Plz mark Brainliest

Answer:

x=−8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6=3/8x−2+

1/8x

Step 1: Simplify both sides of the equation.

−6=3/8x−2+1/8x

−6=3/8x+−2+1/8x

−6=(3/8x+1/8x)+(−2)

(Combine Like Terms)

−6=1/2x+−2

−6=1/2x−2

Step 2: Flip the equation.

1/2x−2=−6

Step 3: Add 2 to both sides.

1/2x−2+2=−6+2

1/2x=−4

Step 4: Multiply both sides by 2.

2*(1/2x)=(2)*(−4)

The Interquartile Range of the data set is 10

Interquartile Range is the difference in value between the upper quartile and lower quartile.

It is calculated using the formula:  Interquartile Range  = Q3 - Q1

From the question, we have:

48, 26, 31, 50, 38, 40, 42, 34, 44, 36

By arranging scores in ascending order, we get

26, 31, 34, 36, 38, 40, 42, 44, 48, 50

Q3 is the upper quartile i.e 75th percentile

75% of 10 = 7.5

This is approximately the 8th position i.e. Q3 = 44

Q1 is the lower quartile i.e 25th percentile

25% of 10 = 2.5

This is approximately the 3rd position i.e. Q1 =  34

Recall that

Interquartile Range  = Q3 - Q1

So, we have

Interquartile range = 44 - 34

Evaluate

Interquartile range = 10

Hence, the value of the interquartile range is 10

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The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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a) The first five terms of the sequence are 2, 12, 72, 432, 2592.
b) The first five terms of the sequence are -1, 2, -4, 8, -16.

c) The first five terms of the sequence are 2, -1, -3, -2, 1.

To find the first five terms of the sequence defined by each of these recurrence relations and initial conditions, we will use the given recurrence relation and initial conditions to find the next terms in the sequence.

a) an = 6an-1, a0 = 2

The first term is given as a0 = 2. We will use the recurrence relation to find the next terms.
a1 = 6a0 = 6(2) = 12
a2 = 6a1 = 6(12) = 72
a3 = 6a2 = 6(72) = 432
a4 = 6a3 = 6(432) = 2592

So, the first five terms of the sequence are 2, 12, 72, 432, 2592.

b) an = −2an-1, a0 = −1

The first term is given as a0 = -1. We will use the recurrence relation to find the next terms.
a1 = -2a0 = -2(-1) = 2
a2 = -2a1 = -2(2) = -4
a3 = -2a2 = -2(-4) = 8
a4 = -2a3 = -2(8) = -16

So, the first five terms of the sequence are -1, 2, -4, 8, -16.

c) an = an-1 – an-2, a0 = 2, a1 = −1

The first two terms are given as a0 = 2 and a1 = -1. We will use the recurrence relation to find the next terms.
a2 = a1 - a0 = -1 - 2 = -3
a3 = a2 - a1 = -3 - (-1) = -2
a4 = a3 - a2 = -2 - (-3) = 1

So, the first five terms of the sequence are 2, -1, -3, -2, 1.

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The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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Answer:

3 family members can visit the park if the total cost of the trip was $291

Step-by-step explanation:

if 3 family members can go, that means that it will cost them $210 just for the tickets and $15 for the parking ticket and $66 for the food for exactly 3 people and all of it at the end will cost $291.

Answer:

So 13 x 3=  39

Step-by-step explanation=

your just gonna multiply 13x3 to get your answer

Hope this helped :D

Answer:

between 0 cm and 21 cm

Step-by-step explanation:

BC could be anything between zero and 8+13=21 as per triangle inequality theorem:

0 < BC < AB+AC or

0 cm < BC < 21 cm

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

This is true for the vertices from Triangle 1 → Triangle 2

Thus triangle 2 is the reflection in the x- axis of triangle 1

Answer:

10.3 ft

Step-by-step explanation:

Perimeter of window

= perimeter of semicircle + length of diamdter

\( = \frac{1}{2} \pi \: d + d \\ \\ = \frac{1}{2} \times 3.14 \times 4 + 4 \\ \\ = 3.14 \times 2 + 4 \\ \\ = 6.28 + 4 \\ \\ = 10.28 \: ft

\)

= 10.3 ft

Answer:

=> 10.3

Step-by-step explanation:

Perimeter of window

= perimeter of semicircle + length of diameter

= 10.3 ft

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