Approximately how long will it take for $700 to double if it is invested at 4% annual
interest, compounded continuously?
Round your final answer to the nearest whole year and do not label units.

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020

Answer:

3=x or x=3

Step-by-step explanation:

2x+7=3x+4

-2x+2x7=-2x+3x+4

7=x+4

7-4=x+4-4

3=x or x=3

Answer: 1.25 in.

Step-by-step explanation: 60:30 (L:W) if you simplify you will get 2:1, but simplify to 1:0.5 for convenience. you’ll multiply both by 2.5 (so you can get the length of 2.5) so now you have 2.5 : 1.25

Width of the print of original oil painting in inches = 1.25 inches

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Length of the original painting = 60 inches

width of the original painting = 30 inches

Ratio of length to width = 60/30 = 2/1

Length of the print of original = 2.5 inches

Width of the print = ?

Ratio of length to width = 2.5/width of print = 2/1

⇒ width of print = 2.5/2

⇒ width of print = 1.25 inches

Hence, 1.25 inches is the width of the print of original painting.

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Answer: 225°

Step-by-step explanation:

To convert radians to degrees, multiply by 180/π (1 rad = 180° )

(5π/4) * (180/π/) = 225°

Answer:

-13/4

Step-by-step explanation:

slope formula: y2-y1/x2-x1

-14-12/5-(-3)

-26/8

= -13/4

Hope this helps! :)

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According to the table ;

[tex]f(0) = 6[/tex]

Let's check that in which of the equations it happens.

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A )

[tex]y = f(x) = 6x + 4[/tex]

[tex]f(0) = 6(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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B )

[tex]y = f(x) = 4x + 6[/tex]

[tex]f(0) = 4(0) + 6[/tex]

[tex]f(0) = 0 + 6[/tex]

[tex]f(0) = 6[/tex]

Correct.

Thus this option is the correct answer.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

C )

[tex]y = f(x) = 2x + 4[/tex]

[tex]f(0) = 2(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

About 5%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

If only one vertical line intersects the graph at exactly one point, the graph represents a function.

Answer:

ASA

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.

Answer:

2w = -10

-10 / 2 = -5

Answer: -5

Step-by-step explanation:

Answer:

5 or -5

Step-by-step explanation:

I can't tell if the 10 is negative or not but if it is the answer is -5

If it's not the answer is 5.

10 divided by 2 is 5.

-10 divided by 2 is -5.

Answer:

A c b

Step-by-step explanation:

A

Answer:

a   =   77

          9

This is the answer

Answer:

10 spaces in each direction

Step-by-step explanation:

                     5

                      !

-5--------------------!-------------------5

                      !

                      !

                      5

Answer:

y=3/5x -4/5

Step-by-step explanation:

3/5 is the slope so you do 3/5x

-4/5 is negative because the line passes two negative coordinates

Hope this helps!

Answer:

will or will not

Step-by-step explanation:

The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

The general equation of a straight line is -

[y] > [m]x + [c]

[y] < [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5

Slack inequalities are those inequalities which use either ≤ or ≥ to compare expressions. Example : 2x + 4 ≥ 5

We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.

Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-

gx ≤ 20

Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

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Answer:

Its too tiny please make it bigger

Step-by-step explanation:

i even zommed in but i still cant see it, and i have my glasses on

Answer:

11. A. y = 24x

12. C. c = 0.5p

13. D. p = (1/200)n

14. C. 5 : 8

Step-by-step explanation:

11. y = 24x is correct because you multiply the number of days (x) by 24 to get the number of hours (y)

12. c = 0.5p is correct because there are half as many c as p. so to get c, you multiply p x 1/2.

13. If we substitute in, p is 1/4. 1/200 times n = 0.25 or 1/4. So D. is correct.

14. The ratio of apples to oranges is 15 : 24. We can divide 15 and 24 both by 3 to get 5 : 8.

I hope that this helps! :)

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

Answer:

34/18~ greater

Step-by-step explanation:

34/18 =  1   16/18 or  1  8/9

Lets make common denominators and improper fractions: 54

17/9   11/6

102/54   >  99/54

Hope this helps!

Answer:

The answer is b.) hope this helps!!

Step-by-step explanation:

if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)

Answer:

Step-by-step explanation:

2x-3

2(21)-3

42=3

39

Answer:

its 5

3(2x-3)=21

6x-9=21

6x=30

x=5

Answer:

y=x-1

Step-by-step explanation:

The equation is currently in standard form which is a+b=y and slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To change the form we must move the terms around using Properties of Equality.

First, subtract 1 from both sides

x-y-1=1-1

x-y-1=0

Then, add y to both sides

x-y-1+y=0+y

x-1=y

So that is the equation in slope-intercept form with a slope of 1 and a y-intercept of -1.

Answer:

y=x-1

Step-by-step explanation:

It is y=x-1 because first when we do ANYTHING first. We leave the y on the left side of the equation, since the slope y=mx+b has the y always on the left side. So we subtract x from both sides and we get -y=-x+1. We are NOT DONE yet, so after this, we divide both sides by -1. Why? This is because you cannot have a negative y. Dividing both sides by -1 you finally get y=x-1. If this is trouble some to read, I will also put how to solve the problem down below. :)

Let's solve for y.

x−y=1

Step 1: Add -x to both sides.

x−y=1+−x

−x

−y=−x+1

Step 2: Divide both sides by -1.

−y/ −1 = −x+1 /−1

y=x−1

Answer:

y=x−1

Answer:

Step-by-step explanation:

fhv

The transformation that was used to create the pattern is rotation. The correct option is A, rotation.

If two formulae are logically identical, either one may replace the other in any well-formed context without changing anything's truth value or inferential qualities. This is a fundamental property of logic.

The given figure in the top is needed to be transformed such that the pattern given below is produced. Therefore, if we observe the figure at the top and the pattern, then it can be seen that the given figure is rotated by 90° to create the given pattern. The pattern will be formed.

Hence, the transformation that was used to create the pattern is rotation.

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Answer:

z=97 x=21

Step-by-step explanation:

so straight angles always equal 180°

And assuming that your lines are parallel, the angle under angle z should be 83° just like the angle above angle z

There for to solve for x, first subtract 83 from 180 because that's what that angle is equal to.

Now that you have the equation 4x+13 and you know that it's equal to 97 you can solve it just like a normal inequality.

4x+13=97

4x=84

x=21

Answer:

Yeah, I also got 2.4 percent..