please help me with these questions????​

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

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Answer:

13

Step-by-step explanation:

The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.

The distance formula is [tex]\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}[/tex]. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:

[tex]\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13[/tex]

So, the distance between the two points is 13.

The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

The expression is given as:

2 - 5

When the expression illustrates change in temperature, the interpretation can be:

An initial temperature of 2°C decreases by 5°C

Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

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Answer:

[tex]y = \frac{7}{2} [/tex]

Step-by-step explanation:

[tex]3y + 7 = 5y \\ 7 = 5y - 3y \\ 7 = 2y \\ \frac{7}{2} = y \\ y = \frac{7}{2} [/tex]

The differential equation that models the given situation will be dy/dt = K(N - y).

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

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The equivalent value of the function is x is -3 is -45

Functions are written in terms of variables

Given the function shown

f(x)=-x^2+6x-18

In order to determine f(-3), we will substitute x = -3 into the function to have:

f(-3)=-(-3)^2+6(-3)-18

f(-3) = -9 - 18 - 18

f(-3) = -45

Hence the equivalent value of the function is x is -3 is -45

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The number of  people are working by force or under coercion stands at about 12.3 million.

The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.

According to current statistics from the  International Labor Organization, the number of  people are working by force or under coercion stands at about 12.3 million.

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Answer:

c. 12.3 million

got it right on edge)))

Answer:

(-3, 8) is the solution

Step-by-step explanation:

The LCD of the first equation is (3)(4) = 12.  Rewriting this equation, we get:

4x + 3y = 12

to which we add the second equation, obtaining:

4x + 3y = 12

2x - 3y = -30

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

6x   = -18

Dividing both sides by 6 yields x = -3

Substituting -3 for x in the first equation yields 4(-3) + 3y = 12, or

-12 + 3y = 12

Then 3y = 24 and y must be 8.

The solution to this system of linear equations is (-3, 8).

Answer:

272 m

Step-by-step explanation:

You have to devide the shape in 2.

The expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

The missing information in the question is to express V(x) in standard form

We have:

V(x) = x(9-2x) (11-2x)

Open the brackets

V (x) = x(99 - 2x - 18x + 4x^2)

Evaluate the like terms

V (x) = x(99 - 20x + 4x^2)

Expand

V (x) = 99x - 20x^2 + 4x^3

Rewrite as:

V(x)  = 4x^3 - 20x^2 + 99x

Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

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The equation in slope-intercept form of the line that passes through the point is y = -2x+4 , Option B is the correct answer.

The equation of a straight line is given by the equation

y= mx+c

Where m is the slope and

c is the intercept on y axis.

The given data is

line passes through the point (3,-2) with slope -2.

m = -2

y = -2x + c

-2 = - 2 * 3 +c

-2 = -6 +c

c = +4

y = -2x+4

Therefore Option B is the correct answer.

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Answer:

1. 05+02=07

   07+03=10

2. 05+04=09

    09+01=10

3. 05+01=06

   06+04=10

4. 05+03=08

   08+02=10

5. 17+03=20

6. 19+01=20

Step-by-step explanation:

(Answers are in bold)

Answer:

No, it is not the same thing.

Step-by-step explanation:

Hope this helps!

Answer:

I was able to solve questions 2 through 4 using the, "center = (h, k)" formula.

2. (3, -1)

3. (1, 2)

4. (-5, 2)

Hope it helps.

Answer:

17 two-digit numbers

So, there are 17 two-digit numbers whose sum of digits is a perfect square.

Step-by-step explanation:

hope it helps you and give me a brainliest

16340 can be written in scientific notation as 1.63 × 10⁴.

Scientific Notation is a way of representing large numbers in decimal forms multiplied by the power(exponent) in terms of decimal places. The purpose of representing large numbers in scientific notation is to enable easier calculation.

This means that 16,340 in scientific notation can be expressed as:

= 1.634 × 10⁴

= 1.63 × 10⁴ ( to 2 significant figures)

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Answer:

Don't know the full answer, though I searched it up on brainly and found this:

Hopefully it can help you with whatever you are doing/taking.
https://brainly.com/question/15287050

Step-by-step explanation:

write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it

Answer:

Step-by-step explanation:

its A

The total surface area of the object shown in the diagram is 164 inches.

The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3-dimensional object. The object shown is the net of a cuboid.

Total surface area of a cuboid = 2 (lw + wh + lh)

where:

• l = length

• w = width

• h = height

2 { (10 x 3) + (10 x 4) + (4 x 3)}

2 (30 + 40 + 12)

2 x 82 = 164 inches

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The surface area of the figure is 164 square inches

From the net of the rectangular prism, we have the following dimensions:

Length = 4 inches

Width = 3 inches

Height = 10 inches

The surface area is calculated as:

Area = 2 * (Length * Width + Length * Height + Width * Height)

So, we have:

Area = 2 * (4 * 3 + 4 * 10 + 3 * 10)

Evaluate

Area = 164

Hence, the surface area of the figure is 164 square inches

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Answer:

[tex]-4x^3+6x^2-x[/tex]

Step-by-step explanation:

1. Distribute the X across the equation: [tex]-x(4x^2)=-4x^3\\[/tex]

2.[tex]-x(-6x)=6x^2[/tex]

3.[tex]-x(1)=-x[/tex]

3.[tex]-4x^3+6x^2-x[/tex]

[tex]~~4^2 +\sqrt 9\\\\=16 +3 \\\\=19[/tex]

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

An equation is an expression that shows the relationship between two or more variables or numbers.

[tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}[/tex]

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

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The sum of the numbers is 2.115 * 10^14

The sum expression is given as:

(2.1 × 10^14) + (1.5 × 10^12)

Express 1.5 as 0.015 * 10^2

(2.1 × 10^14) + (0.015 * 10^2 × 10^12)

Evaluate the product

(2.1 × 10^14) + (0.015 * 10^14)

Factor out 10^14

10^14 *(2.1 + 0.015)

Evaluate the sum

10^14 * 2.115

Rewrite as:

2.115 * 10^14

Hence, the sum of the numbers is 2.115 * 10^14

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Make same exponent

Use distributive law ab+ac=a(b+c)

Option C

No triangles are possible for Options B and D. One triangle is possible for options A, C, and E. Many triangles are possible for option F.

For it to be a triangle, then it must have 3 vertices and 3 sides with the sum of 2 sides greater than the third side. Also, the sum of interior angles must be 180°.

A) Side lengths of the triangle are; 4 inches, 8 inches and 10 inches.

4 + 8 > 10. Thus, it is a triangle.

B) 60° + 40° + 90° = 190 ≠ 180°

Thus, no triangle is possible because the sum of the angles in triangle is 180°.

C) There are two sides are given and one angle. Thus, from SAS congruency theorem, one triangle is possible.

D) 7 + 5 = 12

There is no triangle possible because the sum of the two sides must be greater than the third side.

E) We are given two angles and one side. Thus, from the ASA Congruency Postulate, one triangle is possible.

F) 60° + 80° + 40° = 180°

There are three angles given, but no sides and so we can say that many triangles are possible.

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Answer:

I’m thinking it’s 2 lol thank you so much!!!

Step-by-step explanation:

The surface area of the prism is 144 square units

The attached image represents the missing figure in the question.

The image would be used to complete the steps, as follows:

Hence, the surface area of the prism is 144 square units

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When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.

A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points.

The shape created is a cylinder. Its height will be equal to the length of the side parallel to the axis-of-rotation. Its diameter will be equal to the length of the side perpendicular to the axis-of-rotation.

According to the question

A rectangle is rotated 360 around the y axis.

When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.

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Answer:

7 and -4

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).