Wayne invested $3000 per year compounded differently. How much will it be worth after 3years

9514 1404 393

Answer:

  x = -6 (correct answer)

  mistakes were made in Step 2 and Step 5.

Step-by-step explanation:

The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.

Step 1: 12 = -2(x -4) -8

Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2

Step 3: 12 = -2x . . . . . . . . . . . like terms combined

Step 4: -6 = x . . . . . . . . . . . . . divide by -2

__

Check

  12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK

__

Comment on other mistake

In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.

An additional mistake was made in that the answer was not checked.

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

Answer:

this hurts my brain x_x my non-existent brain....

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

Answer:

(3,4)

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Side links are : 3m, 4m, 5m

The perimeter of a triangle = (a + b + c)

Perimeter 1= (3 + 4 + 5) = 12m

If the side links are multiplied by 4 :

3*4 = 12 m

4*4 = 16m

5*4 = 20m

Perimeter2 = (12 + 16 + 20) = 48 m

Comparing the perimeters:

Perimeter 1 = perimeter 2

12 = 48

Hence, perimeter also increases by 4 folds

Answer:

20.76 ✨

hope that helped!!!!

Answer:

i think it's $60.68

Step-by-step explanation:

if I'm wrong plz correct me

Answer:

The glass expands

Step-by-step explanation:

Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks

9514 1404 393

Answer:

  (3)  y = (x -3)²

Step-by-step explanation:

Try the first value of x in each function:

  (1)  y = 3² -3 ≠ 0

  (2)  y = (3 +3)² ≠ 0

  (3)  y = (3 -3)² = 0 . . . . . . matches the table value for f(3)

  (4)  y = 3² +3 ≠ 0

__

The only viable choice is (3).

the volume of the cone would be 2.36 I hope this helps ❤️

Answer:

x+ 134 is less than or equal to 400 is the answer

Answer:

sin(A) = 16*Cos(A)/63

Step-by-step explanation:

You didn't state what quadrant it was in.

The sine of angle A is 16 / 65

In a right-angled triangle, the sine of an angle is equal to the ratio of the side opposite to the angle (also called perpendicular) and hypotenuse.

Give that, cot A = 63/16 and that angle A is in Quadrant, (refer to the figure attached)

Since, we know that, cotangent of an angle is ratio of adjacent side to opposite side.

Using Pythagoras theorem, we get,

63²+16² = 4255

√4225 = 65

Therefore, the hypotenuse = 65

sine of an angle = opposite side / hypotenuse

sinA = 16 / 65

Hence, the sine of angle A is 16 / 65

Learn more about sine of an angle, click;

https://brainly.com/question/3827723

#SPJ2

Answer:

= 0.708

Step-by-step explanation:

Answer:

3 5/7

Step-by-step explanation:

Answer:

Depth of the submarine = 668.09 feet

Step-by-step explanation:

From the figure attached,

In triangle ABC,

Distance between a navy cruiser and a nuclear submarine = 2500 feet

Angle between the water level and the submarine = 15.5°

By applying sine rule in the given triangle,

sin(∠BAC)° = [tex]\frac{BC}{AC}[/tex]

sin(15.5°) = [tex]\frac{BC}{2500}[/tex]

BC = 2500[sin(15.5)]

BC = 668.09 feet

Therefore, submarine is 668.09 feet deep in the sea.

18.84

Hope this helps you!

Answer:

18.84

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I plugged in the information on a graph and I got that the first equation is y=1x+3

Since the rate of change is 2 for the second equation function B has the greater rate of change.

Answer:

3.3lbs

Step-by-step explanation:

5 x 2/3 = 3.3

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

Answer:

A is 5, B is a irrational number because it doesn't terminate or repeat c is 7 and d is 8

Step-by-step explanation:

1. true

2. false

3.true

4.false

5. ( may be false)

6 .(may be false)

Answer:

77 is 35% of:  220

Step-by-step explanation: