An account with an initial balance of $4000 earns 6.5% interest for 5 years.

What is the ending balance?

Enter your answer in the box.

Answer:

9

Step-by-step explanation:

They are alternate interior angles, so they most both equal 80.

9y-1=80

9y=81

y=9

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

For the given point,

[tex]k=\dfrac{-20}{60}[/tex]

[tex]k=\dfrac{-1}{3}[/tex]

For option (A),

[tex]k=\dfrac{30}{-10}[/tex]

[tex]k=-3\neq \dfrac{-1}{3}[/tex]

For option (B),

[tex]k=\dfrac{-15}{30}[/tex]

[tex]k=-\dfrac{1}{2}\neq \dfrac{-1}{3}[/tex]

For option (C),

[tex]k=\dfrac{10}{-30}[/tex]

[tex]k=\dfrac{-1}{3}[/tex].

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

Answer:

J = 20.11

Step-by-step explanation:

Answer:

ITS THE 3RD CHOICE

Step-by-step explanation:

JUST DID THIS IN FLVS :3

Answer:

Step-by-step explanation:

Its the second choice "P-value > 0.20", the other guy just sold me....

Answer:

14 min

Step-by-step explanation:

Dividing 840 seconds by (60 sec / 1 min) results in 14 minutes.

( (60 sec / 1 min) is a conversion factor, sec to min or min to sec.)

Answer:

14 minutes

Step-by-step explanation:

840/60 = 14

Answer:

S(-2,12)

y= -2(x+2)²+12

Location of coordinate axes:

y=0 → x= -2±√6 (-2-√6,0) (-2+√6,0)

x=0 → y=4 (0,4)

9.84 m³ plaster will it take to completely fill the mold.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Cubic units are used to quantify a solid's volume. For instance, the volume will be given in cubic metres if the dimensions are given in metres. The International System of Units uses this as the reference unit for volume (SI).

We have,

A rectangular prism. (2 1/4m, 2 1/2m, and 1 3/4m represents the size of the prism).

So, the capacity or Volume of mold is

V= l w h

Now, w= 2 1/2 = 5/2 = 2.5 m

and, h=1 3/4 = 7/4 = 1.75 m

and, l= 2 1/4 = 9/4 = 2.25 m

Then, the Volume is

V= 2.5 x 1.75 x 2.25

V = 9.84 m³

Thus, the required volume is 9.84 m³.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ5

Answer:

its 84 I did the math for you

Answer:

65+x=150

he has 65 so if he keeps adding to it which is x and then he will get 150.

Step-by-step explanation:

1/9 is the correct answer

Answer:

x = 4

Step-by-step explanation:

Given that ∆ABC ~ ∆AGF, it follows that their lengths would be proportional to each other. This implies that:

AB/AG = AC/A F

Substitute

55/22 = 30/(4x - 4)

5/2 = 30/(4x - 4)

Cross multiply

5(4x - 4) = 30(2)

20x - 20 = 60

20x - 20 + 20 = 60 + 20

20x = 80

Divide both sides by 20

20x/20 = 80/20

x = 4

Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

Answer:

1/4 lol

Step-by-step explanation:

1/2=2/4

2/4-1/4=1/4

or in decimal form

.50-.25 =.25

Answer:

Inscribed angle is half of central angle standing on same arc.

Answer:

[tex]y = 2x +3[/tex]

Step-by-step explanation:

Given

Parallel: [tex]y = 2x + 5[/tex]

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to [tex]y = 2x + 5[/tex] then they have the slope.

The slope of [tex]y = 2x + 5[/tex] is 2 i.e. from [tex]y = mx + b[/tex]

So:

[tex]m = 2[/tex]

The line equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 2(x - 1) + 5[/tex]

[tex]y = 2x - 2 + 5[/tex]

[tex]y = 2x +3[/tex]

Answer:

60

Step-by-step explanation:

Use r-combinations.

Treat it as though u are filling in 6 slots

_ _ _ _ _ _

1. First fill in the 7s, there are three of them and 6 ways to do so

so (6 Choose 3)

2. then fill in the 2s, now with the 3 slots taken up by the 7, 3 slots left.

So its (3 Choose 2).

3. and only 1 way to fill in the 8. (1 choose 1)

By multiplicative rule,

(6C3) * (3C2) * (1C1) = 60

Given:

The slope of the line is 3.

The line passes through the point (2,-1).

To find:

The equation of the line.

Solution:

Point slope form of a line: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (2,-1) with slope 3. So, the equation of the line is

[tex]y-(-1)=3(x-2)[/tex]

[tex]y+1=3(x-2)[/tex]

Therefore, the required equation is [tex]y+1=3(x-2)[/tex]. Hence, all the options are incorrect.

Answer:

2,016 pi cubic units

Step-by-step explanation:

Answer:

5/-1

Step-by-step explanation:

The two points are (-1, -2) and (-2, 3).

Slope is y change over x change.

So... 3-(-2) over -2-(-1).

That is 5 over -1.

Slope is 5/-1.

Hope this helps :D

Answer:

1, 0 or 1, 1/2

Step-by-step explanation:

[tex]\frac{1}{2} = \frac{2}{4}[/tex]

2 goes into 3 once

and doesn't fit into 1

So, [tex]\frac{2}{4}[/tex] goes into [tex]\frac{3}{4}[/tex] once

and it doesn't go into [tex]\frac{1}{4}[/tex]

It could also be 1, 1/2

because half of two can fit into 1

so half of [tex]\frac{2}{4}[/tex] can go into [tex]\frac{1}{4}[/tex]

I don't know which one you're looking for...

Sorry

Answer:

7.83

Step-by-step explanation:

cos(40)=6/(ZX)

zx=7.83

Answer:

I. The width is 43.5 inches.

II. The length is 24.5 inches.

Step-by-step explanation:

Let the length and width of the rectangle be L & W respectively.

Given the following data;

Perimeter of rectangle = 136 inches

Translating the word problem into an algebraic expression, we have;

L = W - 19 ......equation 1

Perimeter of rectangle = 2(L + W) ......equation 2

To find the dimensions of the rectangle;

136 = 2(L + W)

Substituting eqn 1 into eqn 2, we have;

136 = 2(W - 19 + W)

136 = 2(2W - 19)

136 = 4W - 38

4W = 136 + 38

4W = 174

W = 174/4

W = 43.5 inches

To find the length;

L = W - 19

L = 43.5 - 19

L = 24.5 inches

Answer:

$59.5

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(6√5)²+x²=14²

36(5)+x²=196

180+x²=196

x²=196-180

x²=16

x=√16

x=4

Answer:6 pens are blue

Step-by-step explanation:because 14-8=6 pens would be left and would be blue