You deposit $600 in an account earning 6% interest compounded annually. How much will you have in the account in 20 years?

Answer:

8(6x + 7)

Step-by-step explanation:

Find a factor for both of the numbers (8)

Place the remaining numbers in a bracket (6x +7)

Place the 8 outside the bracket

8 (6x + 7)

Have a good day :)

Answer:

All you have to do is factor like this. It is also know as common factoring.

48x+54

8(6x+7)  You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be  8(6x+7)

Step-by-step explanation:

Hope this helps!

Answer:

f(g(x)) = 8x² + 18x - 8

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(- 2x - 1)

= 2(- 2x - 1)² - 5(- 2x - 1) - 15

= 2(4x² + 4x + 1) + 10x + 5 - 15

= 8x² + 8x + 2 + 10x - 10

= 8x² + 18x - 8

Answer:

no

Step-by-step explanation:

x²-2x-5=0

a=1

b=-2

c=-5

So also you need to correct the equasion according to the schematic below:

x=(-b+-root(b²-4*a*c))/2*a

Answer:

x = 20 units

Step-by-step explanation:

∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.

Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).

2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.

∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.

Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,

20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →

x = 20.

Answer:

Step-by-step explanation:

Let the equation of the function is,

y = mx + b

Here, m = slope of the function

b = y-intercept

y-intercept of function is the y-value of a point where x = 0.

From the table given,

y-intercept 'b' = 1

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Slope of the line passing through (2, 6) and (4, 2) will be,

Slope = [tex]\frac{6-2}{2-4}[/tex]

          = [tex]-2[/tex]

Equation of the line will be,

y = -2x + 1

B). Slope of the line = -2

x-intercept of the line (at y = 0),

y = -2x + 1

0 = -2x + 1

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

y-intercept of the line = 1

y-intercept indicates that the power of the battery was 100% when we turn on the laptop.

C). Equation of the line is,

y = -2x + 1

Here, y = power remaining

x = Hours

For y = 75% ≈ 0.75

0.75 = -2x + 1

0.75 - 1 = -2x

-0.25 = -2x

x = 0.125

Therefore, after 0.125 hours battery power will be 75%.

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the percent of battery after x hours.

From the table using the points (0, 1) and (4, 0.2):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]

At y = 75% (0.75):

0.75 = -0.2x + 1

x = 1.25 hours

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

60[tex]\pi[/tex] m³

Step-by-step explanation:

Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]

V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]

V = 60[tex]\pi[/tex]

So, the volume of the cone is 60[tex]\pi[/tex] m³

Answer:

when u distribute a number you are basically giving the number off and multiplying other factors by that number

Step-by-step explanation:

3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12

Answer:

Elisa y Romina comieron 5/16 de la pizza completa cada una.

Step-by-step explanation:

Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:

(5/2) / 8 = X

2.5 / 8 = X

0.3125 = X

0.3125 = 5/16

Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.

Answer:

the correct answer is -6

Answer:

d)-6

Step-by-step explanation:

negative and positive is a negative in multiplication. and 6x6=36

so if you put 6(-6) you get -36

Answer:

[tex]Pr(Head) = \frac{2}{3}[/tex]

Step-by-step explanation:

The right parameters are:

[tex]Head = 12[/tex]

[tex]Toss = 18[/tex] (not 10)

Required

[tex]Pr(Head)[/tex]

The experimental probability of Head is:

[tex]Pr(Head) = \frac{Head}{Toss}[/tex]

This gives

[tex]Pr(Head) = \frac{12}{18}[/tex]

Simplify

[tex]Pr(Head) = \frac{2}{3}[/tex]

Answer:

81.68

Step-by-step explanation:

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

Answer:

y(t) = 720e^0.3466t

y = 2036.6288

Step-by-step explanation:

The exponential relation :

y = Ae^kt

A = initial value ; y = final value ; r ; k = exponential rate, t = time

At t = 0

y = 720e^0 ; y = 720

At t = 2 ; y = 720e^2k

1440 = 720e^2k

1440/720 = e^2k

2 = e^2k

Take the In of both sides

0.6931471 = 2k

k = 0.6931471 / 2

k = 0.3466

Hence, equation becomes :

y = 720e^0.3466t

After 3 hours ;

t = 3

y = 720e^0.3466*3

y = 720e^1.0398

y = 720 * 2.8286512

y = 2036.6288

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

                                      = 1257  1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Answer:

D. The new volume is twenty-seven times the old volume.

Step-by-step explanation:

Old volume:

Volume = length x width x height

Volume = 8 x 4 x 2

Volume = 64

New volume:

Volume = length x width x height

Volume = 24 x 12 x 6

Volume = 1,728

1,728 divided by 64 = 27

Final Answer: 27

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Answer:

For the first one its: Volume = 402.12in³

For the second one its: Volume = 201.0619 in³

Step-by-step explanation:

For the first one work:

Volume = 3.1416 x 42 x 8

= 3.1416 x 16 x 8

For the second one work:

Volume = 3.1416 x 42 x 4

= 3.1416 x 16 x 4

Answer:

the formula is : V=πr2h

the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)

Step-by-step explanation:

Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.

opposite pairs of triangles are congruent.

Answer:

Opposite pair of triangles are congruent

Step-by-step explanation:

Because in parallelogram

So.opposite pair of triangles are congruent

Answer:

The value of P(B) = 0.5

Step-by-step explanation:

Given:

Value of P(A and B) = 0.20

Value of P(A|B) = 0.40

Find:

The value of P(B)

Computation:

P(A and B) = P(A|B) x P(B)

By putting value of P(A and B)  and P(A|B)

⇒ 0.20 = 0.40 x P(B)

⇒ The value of P(B) = 0.20 / 0.40

⇒ The value of P(B) = 20 / 40

⇒ The value of P(B) = 1 / 2

The value of P(B) = 0.5

Answer: The answer is C

Step-by-step explanation:

The reason is because if you make a line in between it would be symetrical (up, down, left, right).

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

Questions

answered

16

Time

elapsed

00 22 05

HR MIN SEC

SmartScore out of 100

44

Need a break?

Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

Answer:

78.54 inches squared

Step-by-step explanation:

A=πr^2

π·5^2

Have a good day :)

Step-by-step explanation:

Therefore the third side should be less than 12+15 = 27cm

And also the third side cannot be less than the difference of the two sides

Therefore, the third has to be more than 15-12 = 3cm

Thus, the third side could be the length more than 3cm and less than 27cm.

1 - 6

2 - 8/125

3 - 5

4 - 4/5