You invest money at 6% interest compounded annually for 3 years. If the future value of your investment is $1800, how much money did you invest? Show your work.

Answer:D

Step-by-step explanation:180 degrees counterclockwise rotation about the origin and translation 2 units down

Answer:

1

Step-by-step explanation:

(15 divided by 3) - 4

5-4=1

Answer: true...

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In a standard 90°- 60°- 30° triangle

with legs 1 and [tex]\sqrt{3}[/tex] and hypotenuse 2

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] ← True

Answer:

a. 2

Step-by-step explanation:

Plugging in 9 for x and 2 for y we get: 2=2/3(9)-4

2/3 times 9 = 6

6-4 is 2

When solved we get 2=2 this is true.

Answer:

Step-by-step explanation:

its 5, 12 and 13

its the most common pythagorean triplet ever known.

The right answer is (5,12,13)

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

40 meters

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To solve this problem, we need to first find the ratio of numbers less than four to total numbers.

There are 3 numbers on the wheel less than 4 (1, 2, and 3). There are 8 total numbers, meaning the ratio of numbers less than 4 to total numbers is 3:8.

Now, we need to find the probability of spinning a white number. There are 3 white numbers on the wheel (3, 5, 8). However, one of these numbers (3) is less than 4, so it is already accounted for in the previous ratio. There are 2 numbers left, meaning the ratio of remaining white numbers to total numbers is 2:8.

Adding this to the original equation, we get 5:8. As a fraction, 5:8 = 5/8. The answer that correctly highlights this is C.

Answer:

[tex]16^{3x}= 32^{2(x+2)}[/tex]exponential equation represents this situation

Step-by-step explanation:

Let the number be x

Raising 16 to a power that is 3 times some number=[tex]16^{3x}[/tex]

Raising 32 to twice the sum of the number and 2 =[tex]32^{2(x+2)}[/tex]

We are given that Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2.

Equation:[tex]16^{3x}= 32^{2(x+2)}[/tex]

So, The required equation is[tex]16^{3x}= 32^{2(x+2)}[/tex]

Hence  [tex]16^{3x}= 32^{2(x+2)}[/tex]exponential equation represents this situation

Answer:

82209,96 miles

Step-by-step explanation:

1. 5,7 x 102 = 581,4 miles/hour

And

1,4 x 101 = 141,4 hours

2. 141,4 (hours) x 581,4 (miles) ÷ 1 (hour) = 82209,96 miles

It's the rule of three...

I hope it helped you!

Answer:

This puts Brandon at a net worth of $12,679. So, your answer is option A.

Step-by-step explanation:

Answer:

15ft

Step-by-step explanation:

Because the Pythagorean theorem stats [tex]A^{2}+B^{2}=C^{2}[/tex] the first leg, the unknown leg would be A. The leg that is the side of the house would be substituted in for B. The length of the ladder would be C. Thus [tex]x^{2}+20^{2}=25^{2}[/tex], then you would simplify it to [tex]x^2+400=625[/tex] then you would subtract 400 from both sides. Then that would equal [tex]x^{2}=225\\[/tex]. Then you would square root both sides giving you [tex]x=15\\[/tex].

Answer:

144

Step-by-step explanation:

32+112=144

Answer:

352

Step-by-step explanatioThe shape as you can see is a trapezoid. To find the area of the trapezoid is base 1 + base 2 x height. I multiplied 26 and 16 which made the whole shape 416. Now, we need to take away the white triangle which will show in the end the area of the shaded figure. To find the area of the triangle, you need to do 8x16 then divide by 2. 8 x 16= 128 feet. Then we divide that number by two which equals 64. The area of the unshaded triangle is 64 feet. Finally, we take 416 and subtact 64, which equals 352.

Answer:

a b d

Step-by-step explanation:

is all that apply

Answer:a c e

Step-by-step explanation:just took it. Those are all that apply.

Answer:

9.3361

Step-by-step explanation:

simplify each term

subtract 3.51 from 6.2

Answer:

The answer is A) x=5

Step-by-step explanation:

Sq root of 156 is about 22,so that doesnt work, 313 is bigger, and 1 is too small

Answer:

In this discussion, they both got  the same answer, so they're both right. However, when Jackson said Lena was wrong, he was incorrect, because Lena's way was also correct. So, they were both right in this discussion when it comes to the answers, but Jackson was wrong when he said lena was wrong. (I hope this helped).

Step-by-step explanation:

Lena: 14(8 + 12)

14(20)

280

Jackson: 14 x 8 = 112

14 x 12 = 168

168 + 112 = 280

Answer:

C.

Step-by-step explanation:

x^2+20^2=25^2

x^2+400=625

x^2=225

x=15

Answer:

(-30, 10)

multiply -20/60 by -0.5 each and you get 10/-30

this is the only pair achievable by proportion.

Answer:

Step-by-step explanation:

200% of x = 105% of 90

(200/100) * x = (105/100) * 90

2 * x = 1.05 * 90

[tex]x = \frac{1.05*90}{2}\\\\x=1.05*45\\\\[/tex]

x = 47.25

Answer:

47.25 or 47 1/4

Step-by-step explanation:

Answer:diameter to circumference

Answer:

Circumference to diameter

Step-by-step explanation:

Answer:

Time, t = 2 seconds

Step-by-step explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

[tex]h= -16t^2 + 16t + 32[/tex]

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

[tex]-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s[/tex]

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.

Answer:

0%

Step-by-step explanation:

The first thing you need to do, is add the total of all of the marbles together.

9 + 8 + 11 + 12 = 40.

Knowing this, you can take the amount of white marbles, (0) and put this against the 40 total marbles.

Since there are 0 white marbles in the jar, you know that it is impossible to pull one out of the jar.

0%

Answer: The answer is 0, because there is 0 white marbles in the jar to begin with.

Answer:

add to solve for x and subtract to solve for y

Step-by-step explanation:

To solve for any variable, it is required to eliminate the other variable in two variable - two equation set.

The set of equations are

4x + 9y = 7  __________1

4x - 9y = 9 ___________2

To solve for x we need to eliminate  Y

We see that in equation 1 there is 9y and

in equation 2 there is -9y

if we add 9y and -9y (9y -9y = 0)

Hence it is clear  that to solve for x , it is needed to add equation 1 and equation 2.

by adding equation 1 + equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y + 4x -9y  = 7 +9

=>8x = 16

=>x = 16/8 = 2

____________________________

To solve for y we need to eliminate  x

We see that in equation 1 there is 4x and

in equation 2 also there is 4x

if we subtract 4x and 4x (4x -4x= 0) , we get 0

Hence it is clear  that to solve for y , it is needed to subtract equation 2 from equation 1.

by performing equation 1 - equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y -( 4x -9y)  = 7 - 9

=>4x + 9y - 4x +9y  = -2

=>18y = -2

=>y =  -2/18 = -1/9

_____________________________

Thus, correct answer is

add to solve for x and subtract to solve for y

Answer: The answer is add to solve for x and subtract to solve for y, I hoped this helps, brainliest please? :)

Step-by-step explanation:

Answer:

C. 150

Step-by-step explanation:

x° + 30° = 180°...(sum of interior angles)

x° = 180° -30°

x°= 150°

x= 150

The value of x° in the given diagram is 150°. This is obtained by using the pair of interior angles formed along a transverse when passing through parallel lines.

The verticle angles are opposite to each other when two lines are intersected at a point. Those angles are the same in size.

It is given that line AB is parallel to line CD and transverse is making angles with these lines.

The angles are x° and 30°.

The angle of 30° is at the exterior side of these lines at the point of intersection of line CD and the transverse line. So, it forms a verticle pair of angles with the angle opposite to it.

Thus, the angle opposite to it also becomes 30°. This opposite angle lies inside the parallel lines. So it forms a pair of interior angles with a given angle x.

Since we know that sum of pair of interior angles = 180°, we get

x° + 30° = 180°

⇒ x° = 180° - 30°

⇒ x° = 150°

∴ x = 150°

Thus, the angle x = 150°. So, option C is correct.

Learn more about interior angles here:

https://brainly.com/question/16976757

#SPJ2

Answer:

Step-by-step explanation:

We can find half of a side of the pentagon with the expression

[tex]tan(36\°)=\frac{s_{half} }{11}[/tex]

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

[tex]s_{half} \approx 8[/tex]

Therefore, half of a side is 8 units long, which means each side measures 16 units.

Now, the area of a penthagon is defined by

[tex]A=\frac{p \times a}{2}[/tex]

Where [tex]p[/tex] is the perimeter and [tex]a[/tex] is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

[tex]A= \frac{80 \times 11}{2} =440 \ u^{2}[/tex]

Therefore, the right answer is the second choice.

Answer:

y = 3x + 2

Step-by-step explanation:

So we can use the point-slope equation to help us figure out our y = mx +b equation

First we need to choose two points on the graph so we can calculate our slope

I personally like to choose point that intersects two numbers perfectly on the line rather than a point that is maybe half way between two numbers

So we can use the point (0,2) and the point (2,8)

Our (0,2) will represent (x₁, y₁) and our (2,8) will represent (x₂,y₂)

The equation to find the slope is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex], so plugging in our values, we get [tex]m=\frac{8-2}{2-0} =\frac{6}{2} =3[/tex]

We have found our slope, 3, and now we can use the point-slope equation: y - y₁ = m(x - x₁) to figure out the remainder of the equation.

Plugging in our values we get: y - (2) = (3)(x - (0)) which simplifies to y - 2 = 3x which then simplifies to y = 3x + 2

Answer:

3) 53 degrees

4) 38 degrees

Step-by-step explanation:

Similarly to the previous question, the value of b in both of these examples can be found because you know that they are complementary with their adjacent angle.

3)

b+37=90

b=90-37

b=53 degrees

4)

b+52=90

b=90-52

b=38 degrees

Hope this helps!

Answer:

I don't think x is in there. But, I could be wrong.

Step-by-step explanation:

Answer:

288 pi Centimeters cubed

Step-by-step explanation:

To find the volume of  the cylinder with diameter of 8 centimeters and height of 18 centimeters, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylinder

from the question given, height h = 18 cm    and diameter = 8 cm

but diameter = 2r, this implies that r=[tex]\frac{d}{2}[/tex]    hence radius r = [tex]\frac{8}{2}[/tex] = 4 cm

we can now proceed to insert the values into the formula;

volume of a cylinder = πr²h

                                    =π×4² ×18

                                    =π×16 ×18

                                    =288 π cm³

volume of the cylinder = 288 π cm³

Answer:

its A

Step-by-step explanation:

288 pi Centimeters cubed

Answer:

c-24

a-156

Step-by-step explanation:

a=180-24( angles on s straight line)=156

c= 24 opposite angles