Craig has a bank account with $2,100.00 in it. The money in the account is earning 9.99% interest. How much interest will Craig have earned after 6 years?

Answer:

[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]

Step-by-step explanation:

The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:

[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\sin \alpha = \frac{5}{13}[/tex]

[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\cos \alpha = \frac{12}{13}[/tex]

[tex]\tan \alpha = \frac{5}{12}[/tex]

[tex]\cot \alpha = \frac{12}{5}[/tex]

[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]

[tex]\sec \alpha = \frac{13}{12}[/tex]

[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]

[tex]\csc \alpha = \frac{13}{5}[/tex]

B.) 1 and 3; 2 and 4 in the picture are not supplementary.

Supplementary angles refers to the type of angles whose sum is 180°. It is not mandatory for the division of angle to be in half. The angles can be 60° and 120°, 130° and 50°, 90° and 90° and so on.

In the figure, we can see two lines intersect each other. Angle 1 and 2 are present on straight line, and hence, their sum will be 180°. Angle 2 and 3 are present on straight line, and hence, their sum will be 180°. Angle 3 and 4 are present on straight line, and hence, their sum will be 180°. Angle 1 and 4 are present on straight line, and hence, their sum will be 180°.

Angle 2 and 3 and angle 1 and 4 are opposite angles, that are not present on same straight line. Therefore, they are not supplementary angles.

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Answer:

y=2/3 x+10

Evidence:

Picture

Hope it helped!

Answer:

x = 4

Step-by-step explanation:

2 x 4 = 8

24 - 8 = 16

Answer:

x=4

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

Answer:

Believe it or not, it would be 60 degrees.

Step-by-step explanation:

Here, we are working with ALTERNATE INTERIOR ANGLES. Since we know the beam supports for the top and bottom are parallel, 1&2 will be the same angle measurement.

Here is a diagram of an example of alternate interior angles, where m1=m2.

Answer:

Step-by-step explanation:

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

Answer:

4 X 3 = 12 , 12 X 2 = 24

5 X 4 = 20, 20 X 2 = 40

3 X 5 = 15, 15 X 2 = 30

30 + 40 + 24 = 94 cm squared

Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Answer: c. 8.2-5.8n

Step-by-step explanation:

I got it wrong and it said that c was correct your welcome

An arithmetic sequence is a sequence where the difference between the consecutive term is the same.

The formula for nth terms of an arithmetic sequence.

nth term = a + (n -1)d

The expression that is used to find the nth term of the given arithmetic sequence is

2.4 - 5.8 (n - 1)

An arithmetic sequence is a sequence where the difference between the consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

The common difference is 2.

We have,

2.4, -3.4, -9.2, -15, - 20.8,

This is an arithmetic sequence.

The common difference.

= -3.4 - 2.4

= -5.8

Now,

The formula for nth terms of an arithmetic sequence.

nth term = a + (n -1)d

So,

a = 2.4

d = -5.8

nth term:

= 2.4 + (n - 1)(-5.8)

= 2.4 - 5.8(n - 1)

Thus,

The expression that is used to find the nth term of the given arithmetic sequence is

2.4 - 5.8 (n - 1)

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Answer:

1432.57cm²

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I used a calculator

yea the answer is reflection

The type of transformation that's shown in the figure on the left is; reflection

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs,

A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.

The answer is; reflection

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Answer:

slope = - [tex]\frac{1}{19}[/tex]

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 )

y = 19x + 57 ← is in slope- intercept form

with slope m = 19

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{19}[/tex] ← slope of line w

Answer:

70.88

Step-by-step explanation:

x/67.5=5/100 cross multiply 100x=337.5 divide 100 x=3.375 or 3.38 67.50+3.38=70.88

70.88 is your correct answer

Answer:

BLM &MLM yasss!!!!!!!!!!!!!1

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

thats the point where both lines meet

Answer:

The two angles are alternate interior angles

Step-by-step explanation:

Here, we want to state the relationship between the two given angles

From the diagram, we can observe that these two angles are;

They are alternate interior angles

Answer:

The answer is "Child tax credit for Harper and No, because Amelia has ITIN."

Step-by-step explanation:

In question 1,  The answer is "Child tax credit for Harpe" each qualified kid for tax years 2018-2025 should have SSN through employment provided before the returned closing date. Harper is a U.S. national and also has a legitimate SSN, and therefore Hopkins may assert Harper's tax credit.  

In question 2, The answer is "No, because Amelia has ITIN" because the IRS problem is an ITIN issue whenever a person has been unable to claim their income tax credit his or she may be not qualified to SSN.

Answer:

Option 3

Step-by-step explanation:

The number on the inside is the dividend and the number on the outside is the divisor. So we just have to place the dividend on the top and the divisor on the bottom.

Answer:

they both are because they are not symmetrical??

Step-by-step explanation:

9514 1404 393

Answer:

  both figures are parallelograms

Step-by-step explanation:

The diagonals of a quadrilateral bisect each other if and only if that quadrilateral is a parallelogram. Hence, the left figure is a parallelogram.

The opposite angles of a quadrilateral are congruent if and only if that quadrilateral is a parallelogram. Hence the right figure is a parallelogram.

__

Additional comment

Proofs of these conditions can be offered, but these are the conclusions of the respective proofs. The bisected diagonals form pairs of triangles, provably congruent using SAS. (left figure) The angles total 360°, so any adjacent pair must total 180°, making opposite sides parallel. (right figure)

Answer:

Unknown number = 36

Step-by-step explanation:

Equivalent ratio means,

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

If [tex]x_1=2, y_1=9[/tex] and [tex]x_2=8[/tex],

[tex]\frac{2}{9}=\frac{8}{y_2}[/tex]

By cross multiplication,

2 × y₂ = 8 × 9

2y₂ = 72

[tex]\frac{2y_2}{2}=\frac{72}{2}[/tex]

y₂ = 36

Therefore, missing number in the denominator of the fraction will be 36.

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

Answer:

Step-by-step explanation:

Use calculator

but anyways here

24 x 0 = 0

6 x 1 =6

21x 2 =42

11x 5 = 55

Answer:

Y=40

Step-by-step explanation:

Y/8=5

(Y/8)*(8)=(5)*(8)

Y=40

Answer:

30

Step-by-step explanation:

3 times 30 = 90 - 2(for the six she already had) so 30

i think