What is the area of a circle with a radius of 6 feet. Use 3.14 for pi. Round to the nearest tenth. Show your steps.

Answer:

$2,975.85

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.5% into a decimal:

3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]

[tex]A=2,975.85[/tex]

After 5 years, the account will have $2,975.85

Step-by-step explanation:

6(2x^2 - x - 28)

6(2x + 7)(x - 4)

Answer:

[tex]-\sqrt{5}[/tex]

I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above

Answer:

600 sq mm

Step-by-step explanation:

I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape

area of rectangle= b x h

so, 15x30=450mm (square)

area of triangle= b x h (divided) 2

so, 10x30=300 (divided) by 2

= 150mm (square)

so, 450 (plus) 150= 600mm (square)

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Answer:

226 grams

Step-by-step explanation:

The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.

As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,

Amount decayed = 1/2 * 904 grams

= 452 grams

Amount left = 904 grams - 452 grams

= 452 grams

After another 35 hours (now a total of 70 hours),

Amount decayed = 1/2 * 452 grams

= 226 grams

Amount left = 452 grams - 226 grams

= 226 grams

Answer:

The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:

Hope this helped :)

Answer:

A

Step-by-step explanation:

Answer:

x = 5

y = - 3/2

Step-by-step explanation:

[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]

The augmented matrix is :

[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]

Now; to Row operations

Swap row 2 to row 1

[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]

Multiply row 1 with 2 and add to row 2 ;

1(2) = 2

-2(2) = -4

8(2) = 16

2 +2  = 4

4 +(-4) = 0

16+ 4 =20

Now; we have:

[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]

changing row 2 back to equation form:

4x + 0y = 20

4x = 20

x = 20/4

x = 5

substituting x = 5 in row 1

x - 2y = 8

5 - 2y = 8

-2y = 8 -5

-2y = 3

y = - 3/2

Answer:

-y^(2)+x+y

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Answer 190 square inches

Step-by-step explanation:

If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.

Answer:

190 square inches.

Step-by-step explanation:

here is my work to follow to figure out a problem like this.

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

----------------------------------

(n) 604 - 79 = 525

Answer:

The representative sample contained more girls than boys.

Step-by-step explanation:

A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.

Answer:

the answer is 12

Step-by-step explanation:

you basically have to divide 8 by 2/3 then you would get 12

Answer:

14399

Step-by-step explanation:

break it down yall

119=100+19

121=100+21

100*100=1000

19*21=4399

add em up

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation: ED2022

Answer:

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.

Answer:

It loses $400 a year

Step-by-step explanation

$2000 x 20% or .20 = $400 per year is what the computer loses.

It loses a great deal of value a year.

Answer: 100n

Step-by-step explanation:

Each year it looses 100$ of its value each year.

Answer:5/8 and 1/4

Step-by-step explanation:

The coordinates of point K can be given by (-1/4, 5/8).

Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.

There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.

Point K lies on the first line. This means that the x-coordinate of the point is -1/4.

There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.

Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.

From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).

Therefore, the coordinates of point K can be given by (-1/4, 5/8).

Learn more about cartesian coordinates here: https://brainly.com/question/9391785

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50=100%

X=90%

X=50*90%/100

X=45

Answer:

45

Step-by-step explanation

90/100 × 50/1 50 goes into 100 2

90/2 × 1/1 = 45

Hope this helps

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Answer:

(x-9)(x+2) = x^2 + 2x -9x -18  = x^2 -7x -18

Answer is B

Step-by-step explanation:

Answer:

you need a d/protector to do this

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular cabin be represented as A

Now , the initial length of the cabin = 30 feet

The initial width of the cabin = 24 feet

And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin

So , the increased length of the rectangular cabin = 30 + 6 = 36 feet

The increased width of the rectangular cabin = 24 + 6 = 30 feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of rectangular cabin A = 36 x 30

Area of rectangular cabin A = 1080 feet²

Now , the area of the cabin before increment of sides = 24 x 30

The area of the cabin before increment of sides = 720 feet²

So , the area of the walkway = 1080 - 720 = 360 feet²

Area of rectangular cabin walkway A = 360 feet²

Hence , the area of the rectangular cabin walkway is 360 feet²

To learn more about area of rectangle click :

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Answer:

217 sqft

Step-by-step explanation:

the total area can be divided into 6 parts:

2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)

Therefore the area can be calculated as :

2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft

Answer:

the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.

Step-by-step explanation:

Answer:

Fraction form -15/2

Decimal form -7.5

Step-by-step explanation:

4x+30=0

subtract 30 from both sides

4x=-30

divide both sides by 4

x=-30/4

simplify

-15/2 or -7.5