) If you invest $2500 in an account that pays 12% interest, compounded quarterly, how much would you
have at the end of 17 years?

Using a proportional relationship, the table relating the number of guests and number of tables is given by the image at the end of the answer.

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

In the context of the problem, the variables are given as follows:

He'll have 4 tables for every 20 guests, hence the constant is given as follows:

k = 4/20 = 1/5 = 0.2.

Hence the relation is:

y = 0.2x.

For 1 table, the number of guests is:

0.2x = 1 -> x = 5.

For 8 tables, the number of guests is:

0.2x = 8 -> x = 8/0.2 = 40.

For 35 guests, the number of tables is:

y = 0.2 x 35 = 7.

For 50 guests, the number of tables is:

y = 0.2 x 50 = 10.

The table with these measures is given by the image at the end of the answer.

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There is a 0.75 percent chance that the person is a woman with long hair.

Probability can be used to define potential. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. The likelihood of anything happening is often referred to as probability. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur. A probability scale with a value of 0 for an impossibility and 1 for a certainty. In a sample space, there is a one probability for every event.

E is the probability of an event . Hence,

P(E) is the ratio of favorable results to all outcomes.

In probability, an event is deemed dependent if it is impacted by other occurrences, and independent if it is wholly unaffected by the occurrence of any other event.

By applying the literature and formulas previously mentioned, we have:

F should signify for the fact that the student is female, and L should stand for the fact that the student has long hair.

P(F)

= 0.60

P(L)

= 0.50

P(F AND L)

= 0.45

P(L|F)

= 0.75

There is a probability of  0.75 that a randomly chosen student has long hair.

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Answer:

length = 46 yards

Step-by-step explanation:

width = [tex]7\frac{2}{3}[/tex] yards

length = 6 times the width

[tex]7\frac{2}{3} *6 = 46[/tex]

length = 46 yards

Answer:

No, because any number than produces and decimal that continuse forever is not rational.

Step-by-step explanation:

Hope it helps! =D

Answer:

a maximum of 1,738 empty seats

Step-by-step explanation:

5,738 - 4,000 = 1,738

Answer:

-3 and 23,20,17

Step-by-step explanation:

35-3=32,32-3=29

{ } pls i right,or u can help me out

Answer: 0.224

Step-by-step explanation:

40/178= 0.224

work in the pic

Using the Law of Detachment, the conclusions are given as follows:

6. No conclusion.

7. ∠AOB and ∠ DOB share one common angle.

The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis of a statement are true, then the conclusion of the statement is also true.

Supposing a conditional statement p -> q, we have that the hypothesis and the conclusion are defined as follows:

For item 6, we have that the statements are given as follows:

We have that p->q and q are true, hence no conclusion can be reached from the law of detachment.

For item 7, we have that the statements are given as follows:

In this case, we have the hypothesis is true, hence the conclusion is that ∠AOB and ∠ DOB share one common angle.

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Answer:

C

Step-by-step explanation:

[tex]\sqrt{2}[/tex] and [tex]\frac{1}{\sqrt{2}}[/tex] are both irrational, but they multiply to 1, which is rational

Answer: 846.12

Step-by-step explanation:

Answer for 1: 16.4
Answer for 2: 10.095
Answer for 3: 7.431
Answer for 4: 2.31
Answer for 5: 42.74
Answer for 6: 10.224
Answer for 7: 4.436
Answer for 8: 20.574
Answer for  9: 35.626
Answer for 10: 31.042
Answer for 11: 84.708
Answer for 12: 53.066
Answer for 13: 0.0061
Answer for 14: 7.092
Answer for 15: 1.463
Answer for 16: 92.0898

I hope this helps :)

The number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

For the given question;

Let the number of calories present in carrot is 'x'.

Let the number of calorie present in celerystalk is 'y'.

Carrot has 13 more calories than celerystalk.

Thus,

x = y + 13   ......eq 1

Now, 5 carrots and 10 celery stalks have total 170 calories.

The equation becomes.

5x + 10y = 170

Substitute the value of x from eq 1.

5(y + 13) + 10y = 170

Simplify the equation;

5y + 65 + 10y = 170

15y = 105

y = 7 (number of calories in stalk of celerystalk)

Put the value of y in eq 1.

x = y + 13

x = 7 + 13  

x = 20 (number of calories in stalk of carrot)

Thus, the number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

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Answer: the answer is 10.875

Hope this helped :D

Answer:

10 7/8 Here you go :) ten seven eights

Step-by-step explanation:

Answer: [tex]y=12.50x[/tex]

Step-by-step explanation:

Let the number of hours be x and the total earnings in dollars be y. Since the total amount of money earned is the number of hours times the amount earned per hour, the equation is [tex]y=12.50x[/tex].

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

Given Data

f(x) = 6x

The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.

The final function rule will be; if the resulting function is compressed by a factor of 1/12.

g(x) = 1/12(-6x)

g(x) = -1/2x

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

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Answer:

$44.80

Step-by-step explanation:

Multiply 0.50 by 896.

The solutions of the quadratic equation x² - 6x +9=11 is found to be            x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

A quadratic equation is ax² + bx + c = 0 .  Another name for the terms a, b, and c is quadratic coefficients.

The values of the unknown variable x that fulfill the quadratic equation are the solutions to the problem. Quadratic equations' roots are known as these solutions.

Given equation:  x² - 6x +9=11

Subtract 11 on both sides

x² - 6x +9 +(-11) =11 - 11

x² - 6x - 2 = 0

Solving using the quadratic formula,

x = [tex]\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]\frac{-b - \sqrt{b^{2}-4ac } }{2a}[/tex]

x = [tex]\frac{6 + \sqrt{-6^{2}-4(-2) } }{2}[/tex]  or  [tex]\frac{6 - \sqrt{-6^{2}-4(-2) } }{2}[/tex]

x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]

Therefore, the solutions of the quadratic equation x² - 6x +9=11 is found to be x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

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Answer:

Step-by-step explanation:

Así que tienes que multiplicar 8x9x16 y dividir por 2 y luego multiplicar por 4 PUEDE ESTAR EQUIVOCADO ASÍ QUE TEN CUIDADO

Answer:

3.3 x 10^-4

Step-by-step explanation:

It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4

Answer:

264

Step-by-step explanation:

The area of the base is [tex]\pi(8)^2=64\pi [/tex].

So, the surface area is [tex]\pi(8)(25)+64\pi=264\pi[/tex]

Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

Step-by-step explanation:

14/33.

step 1. in the denominator you find the Lowest commons multiple, since 11 and 3 don't have common multiples, you just do 11 x 3 which is 33. you denomination would be 33

step 2. multiply 2 and 7 which is 14. your answer is 14/33.

The solution for x in the given expression (7 = 3x/9) is: C. 21.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to describe the steps that should be taken to rearrange and solve for x. Therefore, the appropriate and required steps are listed as follows:

Multiplying both sides by 9, we have:

9 × 7 = 3x/9 × 9

63 = 3x

Dividing both sides by 3, we have:

3x/3 = 63/3

x = 21.

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The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

It should be noted that a fraction is simply used to represent the numbers that aren't whole. The commutative property of addition states that the sum is unaffected by the order of the addends.

According to the associative property of addition, the grouping of integers does not affect the sum.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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Answer: 15 equals the sum of 3 + 6 x 2

Step-by-step explanation: 6x2 is 12 and if you add 3 it is equal to 15, but it is better if you rewrote the equation as 3 + (6x2), that way it is more understandable

The step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

In this question, we have been given Taylor is solving a literal equation (x + 3y) / 2 = 40v

We have been given her steps that she used to solve for y.

We need to find an error in the steps.

First we solve given literal equation for y.

(x + 3y) / 2 = 40v

x + 3y = 40v × 2                     .................(Multiply both the sides by 2)

x + 3y = 80v

x + 3y - x = 80v - x                 ...................(Subtract x from both the sides)

3y = 80v - x

y = (80v - x)/3                          ............(Divide each side by 3)

If we observe Taylor's steps, we can see that there's an error in the step 3y = 80v + x.

Therefore, the step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

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144 is  the largest angle in  supplementary angle .

What is an example of a supplementary angle?

Let one angle = x

then other angle is four times the other = 4x

 x + 4x = 180

   5x = 180

     x = 180/5

     x = 36

smaller angle = 36

largest angle = 4x = 4 * 36 = 144

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Answer:

D 75 and 125

Step-by-step explanation:

cünkü en büyük ortak böleni 25 dir

prove me wrong