The length of a rectangle is eight more than triple the width. If the perimeter is 168 inches, find the dimensions.

Answer:

1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19

Step-by-step explanation:

1.) You need to know the exponential growth and decay formula.

The formula: y=ab^x

**For no.1**

Your initial amount is 300 which is the a

You need to do 100%+8% which is 108%

-This needs to be in decimal form: 1.08

4 years is the number of times the interests shall go up

Now do the equation:

y=300(1.08)^4  --> Multiply everything but do exponents first!!

y= $408.146688

$408.15 - This is the answer for no.1 it shall be rounded

**For no.2**

Same thing as last:

y=1500(1.75)^3

y= $8,039.0625

$8,039.06

**For no.3**

y=900(1.12)^60

y= 807,837.24

This had to be approximate

**For no.4**

y=820(1.06)^6

y= 1,163.1856

$1,163.19

Answer:

0.6

Step-by-step explanation:

apply the volume of cylinder and equal both of them because both contain same amount of water.

see the picture for full solution

We will see that the first odd number is 13 and the second odd number is 15, the product is:

P = 13*15 = 195

Let's say that the first number is x, the next odd number will be x + 2.

The sum of these two odd numbers must be 2, then we need to solve the linear equation:

x + (x + 2) = 28

We can solve that for x:

2x + 2 = 28

2x = 28 - 2 = 26

x = 26/2 = 13

Then the first number is x = 13 and the second number is  x + 2 = 13 + 2 = 15.

The product of these two numbers is:

13*15 = 195

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Answer:

state the problem

ask relevant questions

perform an experiment to collect data

compare with the baseline value of the control group

arrive at a logical conclusion

make a hypothesis

Answer:

The answer would be y=3.5x+7

Step-by-step explanation:

This is because there is a one-time fee of $7, meaning there is no x attached with it. 3.5 has an x with it because it is 3.5 per hour, and not just one time. Hope this helps! :)

Answer:

x = -4, y = 3

Step-by-step explanation:

1. Substitute 2x + 11 for y:

5x + 2(2x + 11) = -14

2. Simplify:

2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,

9x + 22 = -14

3. Isolate x:

9x + 22-22 = -14-22 = 9x -36

9x/9 = -36/9

x = -4

4. Plug in the value of x in to solve for y:

y = 2(-4) + 11

y = 3

hope this helps!

Answer:

30 pages

Step-by-step explanation:

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Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.

Answer: 21

Step-by-step explanation:

This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.

Answer:

1/8

Step-by-step explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8

Answer:

Cylinder: 3.14(20)^2*31

3.14(400)*31

1,256*31

becomes the answer 38,936!

Pyramid: 1/3(33)^2*21

1/3(1,089)*21

363*21

7,623!!!

Answer:

Yes

Step-by-step explanation:

Anything muliplied by zero end up equalling zero. So with this in mind we can put 0 in for x and find out what each eqautian equals.

2(0) + 6(0) = 0; Once we multiply both sides we end up adding 0 and 0, so it equals 0

9(0) = 0

Since, 0 = 0 they are both equal.

Hope this helps!

Answer:

5000 square meters

Step-by-step explanation:

Create a rectangle and use any variable to lable it.

I used c and I know that the length is twice the width, so I added "c" for both widths and "2c" for both lengths.

Count the number of c's up and you will get 6.

Divide 300/6 to get the value for c.

You get 50 for c, so plug it in for the length 2(50) or 100, and plug it in for the width or 1(50).

Now that you have the length and width of the triangle, use length times width to find the area.

100x50=5000

A. -2/7

B. -8/15

hope it helps...!!!

Answer:

The Answer is 1 cup and 4 oz, I'm sorry if incorrect..>~<

Answer:

The Answer is 1 cup and 4 oz.

Step-by-step explanation:

2qts + 1cup equals 72 oz. 6oz x 10=60oz.

72 oz - 60 oz = 12 oz. 1 cup and 4 oz.

Answer:

6

Step-by-step explanation:

common difference = (n + 1) - nth term = 13 - 7 =6

Answer:

subtract 6 every time

Step-by-step explanation:

you subtract first term from second term

Ariana paid a 3.6% interest rate on the loan.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $2000

Simple interest = $144

Time (T) = 2 years

⇒ Simple interest  = P × R × T

Substitute the value of P and T in the above formula,

⇒ 144  = 2000 × R × 2

⇒ 144  = 4000 × R

⇒ R = 144/4000

Apply the division operation, and we get

⇒ R = 0.036

⇒ R = 3.6 %

Therefore, Ariana paid a 3.6% interest rate on the loan.

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if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.

Answer:

Convert these ratios into fractions and then into their actual values.

(This is just one way of solving this, there are other plentiful ways you could use to solve this.)

2 : 9

Will become

2/9

Which will result in

0.222...

3 : 18

Will become

3/18

Which will result in

0.1666...

1 : 3

Will become

1/3

Which will result in

0.333...

Now, compare these numbers:-

0.222..., 0.1666..., and 0.333...

And out of these three numbers, 0.333... is by far the greatest number out of all of these ratios.

Therefore, the ratio 1:3 is the largest ratio.

Answer:

x = -16

Step-by-step explanation:

[tex]\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6 \ \ \ \ \ \ \ \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer[/tex]

Hope this helps!

Answer:

Answer not in the listed options....did you enter all of the info correctly ?

Step-by-step explanation:

6.0061 / 2.9638 = 2.026  times bigger

Answer:

Similarities

They both follow strict laws (typically stricter for math).

Practice makes perfect: both can be learned to points of practical perfection.

The brain must first attribute meaning or value to elements of either in order to build a learning pattern.

Differences:

Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.

Math is logical and language is largely artistic.

There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.

Step-by-step explanation:

Answer:

Language rules could be compared to syntax rules that govern the writing and scripting of a function. Language-based rules could be compared to syntax rules when writing functions, such that when the guiding syntax is correctly displayed, the function is clear and easy to read.

Answer:

Given,

a x 60 = b

or

b = a x 60

Similarly, the value of a would be:

We need to find

Therefore, we have to put the either values of a and b in the specified equation:

Hence,

We have only put the value of one variable to evaluate or to make it variable free

or

Therefore, the value of 4b/a​ is 240.

[tex]\large{\mathcal{QUESTION:}}[/tex]

An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?

[tex]\large{\mathcal{ANSWER:}}[/tex]

B. 17 inches by 8 inches

The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that elliptical mirror has an eccentricity of 0.8.

Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,

We can conclude that the minimum dimensions needed for the sheet of glass could be;

17 inches by 8 inches

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Answer:

can you re word this i dont understand

Answer:

a is when you need to go from 12 to 5 so is this flvs?

Step-by-step explanation:

Answer:

a)

first you need to find the missing lengths the first one would be

12-7=5
and the second one you will need to find the circumference
π*4*2=8π
and now you add

12+7+5+5+3+8π=32+8π
so the perimeter is 32+8π

b)

so lets make some sections

one of the sections will be a rectangle that is 8 in length and 7 in width
8*7=56units^2
and another reactangle that is 3 in length and 5 in width

3*5=15units^2
and then we need to find the area for the semicircle with a raidius of 4
π*4^2=16πunits^2
them divide by 2
(16π)/2=8pi
so the area would be 71+8π

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

The 45-45-90 triangle is a special isoceles right triangle. If you look at the help image attached, you will see that it has the following rules:

Find x

c = x√2

25√2 = x√2

25√2 ÷ √2 = x

x = 25

I hope this helps!

Answer:

29 i

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of surface areas and volumes.

To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.

Here we divide it into two separate parts. so we get as,

after solving, we get total volume as 1140 cm^3

Answer:

7.235 cm

Step-by-step explanation:

Pythagorean theory

A^2 + B^2 = C^2

A = 4.7

B = 5.5

4.7^2 + 5.5^2 = C^2

22.09 + 30.25 = C^2

√52.34 = √C^2

7.235 cm ≈ C