16. You deposit $468 into a mutual fund account. It decreases in value by 1% per week for six
months. How much do you have after 14 weeks?

Answer:

[tex]\frac{4^{15} }{b^{21} }[/tex]

Step-by-step explanation:

First, multiply the exponent 7 and the -3 together, giving you:

[tex]b^{-21}[/tex]

Then, multiply the exponent 5 and the -3 together, giving you:

[tex]4^{-15}[/tex]

But since you can't have a negative exponent, you need to switch the numbers in their places. This is because, when you have a negative exponent, you either switch it to under 1 or over 1, depending on where it currently is:

[tex]\frac{4^{15} }{b^{21} }[/tex]

Answer:

7.1

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

All you need to do is plug in the numbers (in this case, they've already given you the hypotenuse, which is c in the formula, are you're solving for the leg).

[tex]7^{2} + b^{2} = 10^{2}[/tex]

49 + [tex]b^{2}[/tex] = 100

Subtract 49 from both sides:

49 + [tex]b^{2}[/tex] = 100

-49          -49

___________

[tex]b^{2}[/tex] = 51

Square root both sides:

[tex]\sqrt{b^2} = \sqrt{51}[/tex]

b = 7.14

b = 7.1

Answer:

The answer to your question is  y = 4x + 2

Step-by-step explanation:

Data

slope = m = 4

Point = (1, 6)

Process

1.- Write the equation of the line in the point slope form.

           y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

           x1 = 1  y1 = 6

3.- Substitution

          y - 6 = 4(x - 1)

4.- Simplification

         y - 6 = 4x - 4

5.- Solve for y

         y = 4x - 4 + 6

6.- Result

       y = 4x + 2

Answer:

43.96 : 56.52

Step-by-step explanation:

Circumference  = 2 * pi * Radius

Circumference = Diameter * pi

Circle R's Circumference = 43.96 (7 * 2 * 3.14)

Circle S's Circumference = 56.52 (9 * 2 * 3.14)

The ratio of the circumference of circle r to s = 43.96:56.52

Answer:

C) all values of x

Step-by-step explanation:

Domain is the set of values of input 'x'

Since the denominator is not 0 for any x, there's no domain restriction

Answer:

5. 25/36

6. 25/36

7. -3/4 or 6

8. 0 or 4

Step-by-step explanation:

5. Square both sides: x + 4 = 9 - 6[tex]\sqrt{x}[/tex] + x

Subtract x from both sides and subtract 9 from both sides:

-5 = -6[tex]\sqrt{x}[/tex]

Square both sides again: 25 = 36x

Divide both sides by 36: x = 25/36

6. Square both sides: x + 4 = 9 + 6[tex]\sqrt{x}[/tex] + x

Subtract x and 9 from both sides: -5 = 6[tex]\sqrt{x}[/tex]

Square both sides: 25 = 36x

Divide both sides by 36: x = 25/36

7. Square both sides: x + 3 = 5x + 6 - 6[tex]\sqrt{5x+6}[/tex] + 9

Add 6[tex]\sqrt{5x+6}[/tex] to both sides and isolate it: 6[tex]\sqrt{5x+6}[/tex] = 4x + 12

Divide both sides by 2 and then square both sides again:

3[tex]\sqrt{5x+6}[/tex] = 2x + 6

9 * (5x + 6) = 4x^2 + 24x + 36

45x + 54 = 4x^2 + 24x + 36

4x^2 - 21x - 18 = 0

Factorize: (4x + 3)(x - 6) = 0  ⇒  x = -3/4 or x = 6

8. Square both sides: 2x + 1 = x^2 - 2x + 1

Move all the terms to one side and combine like terms: x^2 - 4x = 0

Factorize: x(x - 4) = 0  ⇒  x = 0 or x = 4

Hope this helps!

Answer:

5. x = 25/36

6. No real solutions

7. x = 6

8. x = 4

Step-by-step explanation:

5. sqrt(x + 4) = 3 - sqrt(x)

Square both sides

x + 4 = 9 - 6sqrt(x) + x

6sqrt(x) = 5

sqrt(x) = 5/6

x = 25/36

6. sqrt(x + 4) = 3 + sqr(x)

x + 4 = 9 + 6sqrt(x) + x

6sqrt(x) = -5

sqrt(x) = -5/6

Not possible. A + square root can not be negative

7. sqrt(x + 3) + 3 = sqrt(5x + 6)

Square both sides

x + 3 + 6sqrt(x + 3) + 9 = 5x + 6

6sqrt(x + 3) = 4x - 6

3sqrt(x + 3) = 2x - 3

Square both sides

9(x + 3) = 4x² - 12x + 9

4x² - 21x - 18 = 0

Using quadratic formula:

x = [21 +/- sqrt(21² - 4(4)(-18)]/(2×4)

x = [21 +/- 27]/8

x = 6, -¾

x = -¾ is rejected because it doesn't satisfy the initial equation

8. sqrt(2x + 1) = x - 1

2x + 1 = (x - 1)²

2x + 1 = x² - 2x + 1

x² - 4x = 0

x(x - 4) = 0

x = 0, 4

0 is rejected because it doesn't satisfy the initial equation

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

Answer:

domain of y = sqrt (x+4) is [-4, +inf)

Step-by-step explanation:

[-4, +inf), -4 is included because sqrt(-4 + 4) is defined but is undefined at the points from (-inf, -5].

Answer:75 cents

Step-by-step explanation:

one quarter is equal to 25 cents and since you have 3 of them you multiple 25 times 3 and get 75.

Fred has 3 quarters, and since each quarter is worth 25 cents, he has a total of 75 cents from washing cars.

Fred has saved 3 quarters from washing cars, and we need to determine how many cents he has. In U.S. currency, one quarter is equivalent to 25 cents. To find out the total number of cents Fred has, we can perform the following multiplication:

25 cents × 3 quarters = 75 cents

Therefore, Fred has a total of 75 cents.

Answer:

The team qualified for the finals.

Step-by-step explanation:

The question is:

Find the arithmetic mean for the following situations: i. In order to qualify for the Jokie Finals, the team must have a goal average greater than 20 points. The following are the scores obtained: 25, 12, 15, 23, 24, 39, 13, 31, 19, 16. Did they qualify for the finals? HELP ME

The average goal the team must have to win the Jokie finals is more than 20 points.

The goals obtained by the team are:

X = {25, 12, 15, 23, 24, 39, 13, 31, 19, 16}

The arithmetic mean is the average value of a data set. The formula to compute the arithmetic mean is:

[tex]\bar X=\frac{1}{n}\sum X_{i}[/tex]

Compute the arithmetic mean of the goals scored by the players as follows:

[tex]\bar X=\frac{1}{n}\sum X_{i}[/tex]

    [tex]=\frac{1}{10}\times (25+12+15+23+24+39+13+31+19+16)[/tex]

    [tex]=\frac{1}{10}\times 217\\[/tex]

    [tex]=21.7[/tex]

The arithmetic mean of the goals scored by the players is 21.7 points.

The average score is greater than 20 points.

Thus, the team qualified for the finals.

Without specific context or questions from 'Bad Dog Breakout', it's challenging to provide a specific answer. It's recommended to read the text carefully, breakdown the text, and note down important points such as characters, plot, and themes.

I apologize but without the detailed context or exact questions from 'Bad Dog Breakout', it's challenging to provide a specific answer. 'Bad Dog Breakout' might be a literary work or a segment from an English curriculum, and the questions can vary greatly. However, I encourage you to read and comprehend the text carefully. Breaking it down paragraph by paragraph, identifying characters, noting down the plot, any significant themes and important details might help.

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Answer:

Step-by-step explanation:

4.3 kg + 5.3 kg + 6.8 kg + 2.6 kg + 3.2 kg + 4.4 kg + 4.8 kg

4.3+5.3+6.8+2.6+3.2+4.4+4.8

= 31.4 ÷ 7

= 4.4857142857

Approx. 4.5kg

Final answer:

Cecil spent 20% of his monthly allowance on the video game, calculated by dividing the $12 spent on the game by his $60 monthly allowance and then multiplying by 100 to get the percentage.

Explanation:

To find out what percent of his monthly allowance Cecil spent on the video game, we first need to calculate his total monthly allowance. Cecil receives $15 per week for completing chores. There are typically 4 weeks in a month, so Cecil's monthly allowance is 15 dollars/week * 4 weeks/month = $60 per month.

Next, we will calculate the percentage of his allowance that was spent on the video game. Cecil spent $12 on a video game. To find this percentage, we use the formula:

Percentage spent = (Amount spent / Total allowance) * 100

Percentage spent = ($12 / $60) * 100

Percentage spent = 0.2 * 100

Percentage spent = 20%.

Therefore, Cecil spent 20% of his monthly allowance on the video game.

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the  variable is 1.

Out of the given equations, the following are linear.

1) [tex]5x_1 + x_2 - 7x_3 = 4[/tex]

2) [tex]5x_1 + 4.6x_2 + 12x_3 = -5[/tex]

3) [tex]3x_1 - x_3 = -5x_2 + 7[/tex]

6) [tex]6x_1 - 4x_2 + x_3 = 0[/tex]

These equations on the other hand are nonlinear.

4) [tex]3x_1x_2 + x_3 = 5[/tex]

5) [tex]4x_1^3 + x_2 = 5[/tex]

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

Answers and Step-by-step explanations:

9-18.

a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.

Then, we can just solve for x by subtracting 30 and 115 from both sides:

x = 180 - 115 - 30 = 35 degrees

b) Again all three angles should add up to 180, so:

x + x + x = 180  ⇒  3x = 180  ⇒  x = 180/3 = 60 degrees

9-19.

a) These angles add up to 180:

2x + x + 30 = 180  ⇒  3x + 30 = 180  ⇒  3x = 150  ⇒  x = 50

2x = 50 * 2 = 100

The missing angles are 100 degrees and 50 degrees.

b) Again, these add up to 180:

x + 10 + x + 90 = 180  ⇒  2x + 100 = 180  ⇒  2x = 80  ⇒  x = 40

x + 10 = 40 + 10 = 50

The missing angles are 50 degrees and 40 degrees.

Hope this helps!

Answer:

9-18

a)

x = 180 - (115 + 30) = 180 - 145 = 35°

b)

3x = 180 => x = 180 : 3 => x = 60°

9-19

a)

180 = x + 2x + 30

180 - 30 = 3x

3x = 150

x = 50°

b)

180 = x + 10 + x + 90

180 - 10 - 90 = 2x

2x = 80

x = 40°

2x-5y=-1;6x-5y=27

Solution :

{x,y} = {7,3}

System of Linear Equations entered :

  [1]    2x - 5y = -1

  [2]    6x - 5y = 27

Graphic Representation of the Equations :

   -5y + 2x = -1        -5y + 6x = 27  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    6x = 5y + 27

 [2]    x = 5y/6 + 9/2

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/6+9/2) - 5y = -1

  [1]     - 10y/3 = -10

  [1]     - 10y = -30

// Solve equation [1] for the variable  y

  [1]    10y = 30

  [1]    y = 3

// By now we know this much :

   x = 5y/6+9/2

   y = 3

// Use the  y  value to solve for  x

   x = (5/6)(3)+9/2 = 7

Solution :

{x,y} = {7,3}

  Hope I helped! :)

Answer:

i don't think anyone an answer this without the picture below.

Step-by-step explanation:

Answer:2 , 3 , and 5 would be your answer

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

so the guy above me is right

Pls mark Brainliest.

Answer:

330°

Step-by-step explanation:

A full rotation is 360°. Saying 11/12 of a full rotation is equivalent to saying 11/12 * 360°, which equals 330°.

We have that for the Question "whats 11/12 of a full rotation?" it can be said that 11/12 of a full rotation is

[tex]X=330 \textdegree[/tex]

From the question we are told

whats 11/12 of a full rotation?

Generally the equation for the Statement   is mathematically given as

[tex]x=\frac{11}{12}[/tex]

Where

360° signifies full rotation

Therefore

11/12 of a full rotation is

[tex]\frac{11}{12}*360[/tex]

[tex]X=330 \textdegree[/tex]

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Question:

59 Revenue. The revenue (in dollars) from the sale of x infant car seats for infants is given by

R(x) =60·x - 0.025·x² 0 ≤ x ≤ 2400

(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.

(B) Use the four-step process to find

(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results

Answer:

(A) $437.5

(B) R'(x) = 60 - 0.05·x

(C) $10

Step-by-step explanation:

(A) Here we have the change in revenue when production is increased from 1,000 car seats to 1,050 car seats is given as follows;

R(1050) - R(1000) = 60×1050 - 0.025×1050² - (60×1000 - 0.025×1000²)

R(1050) - R(1000) = 63000 - 27562.5 - 35000 = $437.5

(B) R'(x) is given by

Step 1. R(x + h) = 60·(x+h) - 0.025·(x+h)²

Step 2  R(x + h) - R(x) = 60·(x+h) - 0.025·(x+h)² -  60·x - 0.025·x² = [tex]-\frac{h^2+(2x-2400)h}{40}[/tex]

Step 3

[tex]\frac{R(x+h)- R(x)}{h} = -\frac{h^2+(2x-2400)h}{40 \times h} = -\frac{h +2x - 2400}{40}[/tex]

Step 4

[tex]\lim_{h \to 0} \frac{R(x+h)- R(x)}{h} = \lim_{h \to 0} -\frac{ h +2x - 2400}{40}[/tex]

∴  R'(x) = 60 - 0.05·x

(c) The revenue at a production level of 1000 car seats is

R(1000) = (60×1000 - 0.025×1000²) = $35,000

The instantaneous rate of change of revenue is given as follows

R'(x) = 60 - 0.05·x = 60 - 0.05×1000 = $10.

A) The average change in revenue when production is changed from 1,000 car seats to 1,050 car seats is $8.75. B) The derivative of the revenue function R1(x) with respect to x is R′1(x) = 60 - 0.05x. C) At a production level of 1,000 car seats, the revenue is $35,000 and the instantaneous rate of change of revenue is $10.

(A) To find the average change in revenue, we need to calculate the change in revenue and divide it by the change in the number of car seats produced. Let's calculate:

(B) To find R′1(x), we need to calculate the derivative of the revenue function R1(x) with respect to x. Let's differentiate:

R′1(x) = d/dx(60x - 0.025x2) = 60 - 0.05x

(C) At a production level of 1,000 car seats, the revenue is $35,000. The instantaneous rate of change of revenue (also known as the marginal revenue) at this production level can be found by substituting x = 1,000 into R′1(x):

R′1(1000) = 60 - 0.05(1000) = 60 - 50 = $10. The revenue at this production level is $35,000 and the instantaneous rate of change of revenue is $10, which represents the additional revenue obtained from producing one additional car seat.

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Answer:

6/8, 9/12, 12/16

Step-by-step explanation:

Multiply the numerator and denominator by the same amount to maintain the same ration.

[tex]\frac{3}{4} =\frac{6}{8} = \frac{9}{12} =\frac{12}{16}[/tex]

Answer:

15

Step-by-step explanation:

22.50-3.75=18.75

18.75/1.25=15

BRAINLIEST WOULD BE APPERCIATED

The maximum number of ride tickets that he can buy is; 15

Connor has 22.50$, bought a hot dog and a drink for $3.75.

In essence, the amount Connor has left is;

= $18.75

Therefore, if he wanted to spend the rest of his money on ride tickets which cost $1.25 each, the maximum number of ride tickets that he can buy can be evaluated as follows;

No. of ride tickets = $18.75/$1.25

No. of ride tickets = 15

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Answer: 6 days

Step-by-step explanation: 6 days= 62,000 for jigsaw junction and 64,000 for impossible puzzles

i hope this helps

Impossible Puzzles will have more downloads than Jigsaw Junction in 1 day.

To find out how many days it will take for Impossible Puzzles to have more downloads than Jigsaw Junction, we need to set up an equation and solve for the number of days.

Let's assume that the number of downloads for Impossible Puzzles on the first day is x. Since it doubles in total number of downloads each day, the number of downloads on the second day would be 2x, on the third day would be 4x, and so on.

On the other hand, Jigsaw Junction is downloaded 10,000 times each day after the first day. So, for n number of days, the number of downloads for Jigsaw Junction would be [tex]10,000 * n.[/tex]

We want to find the number of days when the number of downloads for Impossible Puzzles is greater than the number of downloads for Jigsaw Junction. So, we can set up the equation [tex]4x > 10,000n.[/tex]

To find the value of x, we can substitute 2,000 (the number of downloads on the first day for Impossible Puzzles) into the equation: [tex]4(2000) > 10,000n.[/tex]

Putting all the information together, we can set up the equation [tex]8,000 > 10,000n.[/tex]

To solve for n, we can divide both sides of the equation by[tex]10,000: 8,000/10,000 > n[/tex]. This simplifies to 0.8 > n.

Since n represents the number of days, we round up to the nearest whole number. Therefore, it will take 1 day for Impossible Puzzles to have more downloads than Jigsaw Junction.

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Answer:

82.4 millimeters is the size of the ant in the photo

Step-by-step explanation:

In this question, we are asked to calculate the size of an ant in a science book given the actual size of the ant and the percentage increase is the size of the ant in the book.

From the question, we can identify that the actual size is 16 millimeters

Now let’s find 515% of this to know the size to which it would be magnified in the science book.

That would be;

515/100 * 16 = 82.4 millimeters

Hence, this means the ant will have a size of 82.4 millimeters in the science book

Answer:

The size of the ant in the photo is 88 mm

Step-by-step explanation:

Here, we have the percentage increase = 515 %

Size of ant = 16 millimeters in real life,

Therefore, the size of the ant in the in the photo, is given by,

[tex]\frac{16 \, mm}{100} = \frac{y\, mm}{550} = \frac{16 \times 550}{100} = \frac{y \times 100 \, mm}{100} \rightarrow 88 \, mm = y[/tex]

y = 88 mm

The size of the ant in the photo = 88 mm.

Answer:

12

Step-by-step explanation:

Well 775-200 = 575

575÷50= 11.5

round up because you cannot got to a half of practice.

So 12 practices.

Answer:

Don't worry, there is no solution.

Step-by-step explanation:

If you end up with 0 equaling something that isntn0 when you're simply solving a variable, there is no solution. But if you get 0=0, it's all real numbers.

Answer: It’s D

Step-by-step explanation:

Just took assignment

Answer:

Step-by-step explanation:

Answer:

[tex]201 cm^2[/tex]

Step-by-step explanation:

The circumference of a circle is given by:

[tex]c=2\pi r[/tex]

where

r is the radius of the circle

For the circle in this problem,

c = 50.24 cm

Therefore the radius is:

[tex]r=\frac{c}{2\pi}=\frac{50.24}{2\pi}=8 cm[/tex]

The area of a circle is given by the formula

[tex]A=\pi r^2[/tex]

where r is the radius.

For the circle in this problem,

r = 8 cm

So the area is

[tex]A=\pi \cdot 8^2 = 201 cm^2[/tex]

The area of the circle is 201 cm square.

Since we know that

Circumference of the circle = [tex]2\pi r[/tex]

So here radius should be

[tex]= c\div 2\pi \\\\= 50.24\div 2\pi[/tex]

= 8 cm

Now the area of the circle is

[tex]= \pi r^2\\\\= 3.14\times 8^2[/tex]

= 201

Hence, we can conclude that The area of the circle is 201 cm square.

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