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drag each number expression or symbol to the correct location on the equation not all numbers expressions or symbols will be used to create an expression that shows 8 divided by 2 raised to the power of 4 then evaluate the expression


____ ___ ___ = __


2×4. 8. 1. 1/2. 16. 4. 1\4. ÷ 24. 42
​

Answer:

4

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.

Assume that:

[tex]r = 5\%[/tex] --- interest rate

[tex]PV =9000[/tex] --- Present value or invested amount

To calculate time (in years), we make use of the following formula of future value

[tex]FV = PV(1 + r)^n[/tex]

Where

[tex]FV = 11800[/tex]

So:

[tex]11800 = 9000( 1 + 5\%)^n[/tex]

Divide both sides by 9000

[tex]1.31 = ( 1 + 5\%)^n[/tex]

Take logarithm of both sides

[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]

Apply law of logarithm

[tex]Log(1.31) = nLog(1 + 5\%)[/tex]

Make n the subject

[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]

Express 5% as decimal

[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]

[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]

[tex]n = \frac{0.1173}{0.0212}[/tex]

[tex]n \approx 6[/tex]

The time to reach the future value is approximately 6 years.

Use the above explanation to answer your question

Answer:

37.5

Step-by-step explanation:

37.5 · 0.72 = 27

Answer:

37.5

Step-by-step explanation:

72%=0.72

0.72x=27

x=27/0.72

x=37.5

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

[tex]y=a(1+r)^t[/tex]

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get

[tex]y=44000(1+0.05)^{20}[/tex]

[tex]y=44000(1.05)^{20}[/tex]

[tex]y=116745.099026 [/tex]

[tex]y\approx 116745.10 [/tex]

Therefore, the cost of living in 20 years is about $116745.10.

yessss

lets

play

rn!!!!!!

Answer:

[tex]\frac{25y}{4x}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke

Answer:

4519.5

Step-by-step explanation:

so sorry if that's not correct.

Answer: [tex]282.85\ cm^2[/tex]

Step-by-step explanation:

Given

Radius of cylinder [tex]r=5\ cm[/tex]

The height of the cylinder is [tex]h=9\ cm[/tex]

The surface area of a cylinder is [tex]2\pi rh[/tex]

If only the outer is considered then, the area required is

[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

Answer:

pretty sure its 18

Step-by-step explanation:

Answer:

13/48, 7/24, and 15/48

Step-by-step explanation:

When we have two numbers A and B  (such that A < B), the mean between these numbers is:

mean = (A + B)/2

And we will always have that:

A < mean < B

In this case, we have the numbers 1/4 and 1/3

The mean between these numbers is:

M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24

we know that 7/24 is an integer that is between the numbers  1/4 and 1/3

Now we can take the mean between 1/4 and 7/24

M = (1/4 + 7/24)/2

   = (6/24 + 7/24)/2 = (13/24)/2 = 13/48

And we have:

1/4 < 13/48 < 7/24

Now we can find the mean between  7/24 and 1/3:

M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48

then:

7/24 < 15/48 < 1/3

Then we can write:

1/4 < 13/48 < 7/24 < 15/48 < 1/3

Then the 3 rational numbers between 1/4 and 1/3 are:

13/48, 7/24, and 15/48

Answer:

just round them at the end

Step-by-step explanation:

Arizona: 7,278,717

New York 8.419 milion

Answer: 34

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

Answer:

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

Step-by-step explanation:

Given

[tex]m = 2[/tex]

[tex]b = 2[/tex]

Required

Write equation in slope intercept form

An equation in slope intercept form is:

[tex]y = mx + b[/tex]

Substitute values for m and b

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

Answer:

A.less than 6 but more than 20

Answer:

50.24

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Area of a Circle:

A = πr²

Work:

A = πr²

A = 3.14(4²)

A = 3.14(16)

A = 50.24

The approximate area of the circle is 50.24 square feet.

Given is a circle with diameter of 8 ft we need to find the approximate area of the circle.

To find the approximate area of a circle, you can use the formula:

Area = π × (radius)²

Given that the diameter of the circle is 8 ft, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 8 ft / 2 = 4 ft

Now we can calculate the approximate area:

Area ≈ 3.14 × (4 ft)²

= 3.14 × 16 ft²

≈ 50.24 ft²

Therefore, the approximate area of the circle is 50.24 square feet.

Learn more about Area of circles click;

https://brainly.com/question/28642423

#SPJ4

Answer:

d) 3 1/2 in^2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying width and length

5 × 7/10 = 35/10 and we can simplify it as 3 1/2 in^2

Answer:

-0.25

Step-by-step explanation:

Answer:

2ft

Step-by-step explanation:

2ft is small than the other options.

Answer:

186

Step-by-step explanation:

Step One (1): 6x11=66 People gone shopping

Step Two (2): 2x9=18 People going site-seeing

Step Three (3): 66+18=84 People Gone Total

Step Four (4): 270-84=186 People left at the Hotel

Hope this Helps! Have a Great Day! :D

Answer:

your range is -9 to positive 5

Step-by-step explanation:

range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3

Answer:

value of sin A is 40/41

answer is A

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

3+3+3+3+4=16

Answer:

A. the answer is supplementary

Answer:

the answer is 2.05×10^-4

Given:

The equation of a line is

[tex]y=-4x+10[/tex]

A perpendicular line on the given line passes through the point (4,-6).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=-4x+10[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-4[/tex]

So, the slope of the given line is -4.

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m\times m_1=-1[/tex]

[tex](-4)\times m_1=-1[/tex]

[tex]m_1=\dfrac{-1}{-4}[/tex]

[tex]m_1=\dfrac{1}{4}[/tex]

The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is

[tex]y-y_1=m_1(x-x_1)[/tex]

[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+6=\dfrac{1}{4}x-1[/tex]

[tex]y=\dfrac{1}{4}x-1-6[/tex]

[tex]y=\dfrac{1}{4}x-7[/tex]

Therefore, the correct option is B.