Joe deposits $3500 into a bank account that earns interest compounded continuously. If Joe's money
doubles in 9 years, what interest rate was used?

The value of the rational expression which is undefined is x = -9

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists  mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the equation be represented as A

The rational expression is undefined when the denominator is equal to zero. So, we need to solve the equation:

x + 9 = 0

Subtracting 9 from both sides, we get

x = -9

Therefore, the value of x that makes the rational expression undefined when x = -9, because it would make the denominator equal to zero.

Hence , the expression is x = -9

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Answer:

A).

Step-by-step explanation:

The 72 is the initial height in feet of the object.

Initially the time = 0 seconds. If we plug zero into  the function we get:

h(0) -16(0)^2 + 110(0) + 72

= 0 + 0 + 72

= 72 feet.

Answer:

2800 to 3300 i believe

Answer:

38

Step-by-step explanation:

Answer:

38 %

Step-by-step explanation:

hope it helps

Answer:

5 to the power of 5

Step-by-step explanation:

Answer:

10. 4.8%

11. 5.67%

12. 30.39%

Step-by-step explanation:

The total number of coins is 5 + 7 + 9 = 21 coins

The probability of selecting two pennies without replacemente is:

First penny: 5 possibilities over 21 coins: 5/21

Second penny: 4 possibility over 20 coins: 4/20

P(selecting 2 pennies) = (5/21) * (4/20) = 1/21 = 0.048 = 4.8%

With replacement, we have:

First penny: 5 possibilities over 21 coins: 5/21

Second penny: 5 possibilities over 21 coins: 5/21

P(selecting 2 pennies) = (2/21) * (2/21) = 25/441 = 0.0567 = 5.67%

The cases for selecting the same coin are:

First penny: 5 possibilities over 21 coins: 5/21

Second penny: 4 possibilities over 20 coins: 4/20

P(selecting 2 pennies) = (5/21) * (4/20) = 20/420

First nickel: 7 possibilities over 21 coins: 7/21

Second nickel: 6 possibilities over 20 coins: 6/21

P(selecting 2 nickels) = (7/21) * (6/21) = 42/441

First dime: 9 possibilities over 21 coins: 9/21

Second dime: 8 possibilities over 20 coins: 8/21

P(selecting 2 dimes) = (9/21) * (8/21) = 72/441

P(selecting the same coin twice) = P(selecting 2 pennies) + P(selecting 2 nickels) + P(selecting 2 dimes) = (20+42+72)/441 = 0.3039 = 30.39%

The probabilities for picking 2 pennies either with or without replacement from a total of 21 coins is calculated. With no replacement, the chance is approximately 4.76%, while with replacement, it is approximately 5.67%. It's impossible to choose the same coin twice without replacement.

The total number of coins is 5 pennies + 7 nickels + 9 dimes = 21 coins. We are asked to calculate the probability of selecting 2 specific coins from these total coins.

10. P(selecting 2 pennies), if no replacement occurs:
Since no replacement is occurring, we first select one penny out of 5, then another penny out of the remaining 4. That constitutes 5/21 * 4/20 = 0.0476, or 4.76% probability of selecting two pennies without replacement.

11. P(selecting 2 pennies), if replacement occurs:
Since replacement is possible in this scenario, even after choosing a penny, we still have 5 pennies left. Hence, the probability of selecting a penny twice is (5/21) * (5/21) = 0.0567, or approximately 5.67%.

12. P(selecting the same coin twice), if no replacement occurs:
If no replacement occurs, it's impossible to choose the exact same coin twice because once a coin is chosen, it is removed from consideration. Therefore, the probability here is 0.

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Step-by-step explanation:

Total candies = 3

Flavours = 5

P of grape candies = 3/5

P of cherry candy = 1/5

Answer:

P(Letter A or Letter B)

The slope between the points (-1, -9) and (5, -6) is found using the slope formula which results in a slope of 0.5.

The subject of your question falls under Mathematics, specifically within Algebra. To find the slope between two points, we will use the formula for the slope which is change in y divided by the change in x, or (y2 - y1) / (x2 - x1).

In your case, the given points are (-1,-9) and (5,-6) where (-1,-9) is (x1,y1), and (5,-6) is (x2,y2). Therefore, applying the slope formula, we get the slope as: (-6 - (-9)) / (5 - (-1)) which equals to 3/6. It simplifies down to 0.5.

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The slope of the line passing through the points (-1,-9) and (5,-6) is calculated using the slope formula, resulting in a slope of 1/2.

To find the slope of a line that passes through two points,
(-1,-9) and (5,-6), we use the slope formula which is given by the difference
in the y-coordinates divided by the difference in the x-coordinates. The formula is:

Slope (m) = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula:

Slope (m) = (-6 - (-9)) / (5 - (-1))

Slope (m) = (3) / (6)

When simplified, this gives:

Slope (m) = 1/2

So, the slope of the line that passes through the points (-1,-9) and (5,-6) is 1/2.

Answer:

The answer is 2

Step-by-step explanation:

This is because 3 times 16 is 48, so add 2 more multiple choice questions and it equals 50. Hope this helps :p

Answer:

5 multiple choice questions

Step-by-step explanation:

Set 1 point questions to "x" and 3 point questions to "y".

You can form the equations:

x + y = 20

1x + 3y = 50

Using substitution, you can rewrite the first equation to: "x = 20 - y" and plug it into the bottom equation.

1(20-y) + 3y = 50, then open parenthesis and combine like terms

2y = 30, then divide both sides by 2

y = 15, there 20 total questions, and 15 short answer questions, so there are 5 multiple choice questions

3*15+1*5 = 45 + 5 = 50

Answer:

C

Step-by-step explanation:

Add -3 and 4

Answer:

C

Step-by-step explanation:

Answer:

y=-2x+4

Step-by-step explanation:

we use the formula for the line and substitute what we already know, which is that the y-intercept is (0,4):

y=mx+4

then, you use the formula for slope:

Δy/Δx

(4-0)/(0-2)

4/-2

-2

you substitute the slope into the equation and the answer:

y=-2x+4

Hope this helps :)

P.S: m is the variable for the slope

Answer:

The answer is C, take the quiz and you are bound to get it right.

Step-by-step explanation:

Answer:

B. One more transformation - a dilation - would map circle A onto circle B. so the circles are similar.

Step-by-step explanation:

If you dilate the circle A by factor ½, it will become congruent to circle B

Answer:

. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Step-by-step explanation:

D) Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1/7/7/7/7/7 = 1/16,807.

I just took the quiz on edge

The perimeter of the parallelogram is 18 units.

We have,

From the graph,

There are two pairs of parallel sides.

Now,

One pair of parallel sides = 4 units each

Another pair of sides = x units each

And,

Applying Pythagorean theorem in ΔABC.

x² = 4² + 3²

x² = 16 + 9

x² = 25

x = 5

Now,

The perimeter of the parallelogram.

= x + x + 4 + 4

= 5 + 5 + 4 + 4

= 18 units.

Thus,

The perimeter of the parallelogram is 18 units.

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Answer:

.39

Step-by-step explanation:

you have to change the percentage into a decimal, .52 then multiply that by .75

Answer:

It's 39

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

If 15 salons are open, this means that 60 are closed. 60 out of the 75 salons is 80% if you divide 60 by 75.

Final answer:

To find the percentage of new salons not still in business after 3 years, subtract the number still open from the total, divide by the total number of salons, and multiply by 100. This calculation shows that 80% of the new salons have closed.

Explanation:

The question asks us to find what percent of new salons are not still in business after 3 years given that 15 out of every 75 are still open. First, we find the number of salons that closed. Since 15 salons are still open, the number that closed is 75 - 15, which equals 60 salons. To find the percentage of salons that closed, we divide the number of closed salons by the total number of new salons, and then multiply by 100.

So, the calculation to find the percentage that closed is:

(60 closed salons / 75 total salons) × 100 = 80%

Therefore, 80% of the new salons are not still in business after 3 years.

Answer:

  Ⓒ  {1, 2, 3, 6, 9, 13, 14}

Step-by-step explanation:

One way to find the union of two sets is to list all the elements of both sets in order, then delete any duplicates.

Here, joining the two sets gives ...

  {1, 6, 2, 3, 14, 2, 9, 13, 1}

Putting these elements into numerical order, we have ...

  {1, 1, 2, 2, 3, 6, 9, 13, 14}

I have highlighted the duplicates. Deleting those gives us the desired union of the two sets:

  X ∪ Y = {1, 2, 3, 6, 9, 13, 14} . . . . . matches choice C

The Russian submarine is deeper since -205 meters is a greater depth than -200 meters when comparing negative values.

To compare the depths of the two submarines, we need to consider the numerical value of their depths. When we look at depths, the larger the negative number, the deeper the location. In this case, a depth of -200 meters means the French submarine is closer to the surface than a depth of -205 meters.

Therefore, the Russian submarine is deeper because -205 is lower than -200 when considering depths below sea level.

Answer:

all real numbers

Step-by-step explanation:

|x +4| +8 > 2

Subtract 8 from each side

|x +4| +8-8 > 2-8

|x +4| >-6

Absolute values must be greater than or equal to zero

This is always true so x can be any value

Answer: 43%

Step-by-step explanation:

The graph is out of 100 squares. 10 horizontally. Count 4 down thats 40 and the 5th line is 3.

Answer

43%

Step-by-step explanation:

if the area is 100 and the shaded part is 43 then it is 43%

plus i just did this lesson

lol

The complete table of values for the equation x + y = 6

x   4   8  12

y  2   -2  4

Completing the table of values for the equation

From the question, we have the following parameters that can be used in our computation:

x + y = 6

This can be expressed as

y = 6 - x

The missing y values are at x = 4, 8 and x = 12

Substitute the known values in the above equation, so, we have the following representation

y = 6 - 4 = 2

y = 6 - 8 = -2

y = 6 - 12 = -4

So, the missing values are 2, -2 and 4

Question

Complete the table of values for x+y=6

x   4   8  12

y

Answer:Simplifying

(2y + -1)(4y + -3) = 0

Reorder the terms:

(-1 + 2y)(4y + -3) = 0

Reorder the terms:

(-1 + 2y)(-3 + 4y) = 0

Multiply (-1 + 2y) * (-3 + 4y)

(-1(-3 + 4y) + 2y * (-3 + 4y)) = 0

((-3 * -1 + 4y * -1) + 2y * (-3 + 4y)) = 0

((3 + -4y) + 2y * (-3 + 4y)) = 0

(3 + -4y + (-3 * 2y + 4y * 2y)) = 0

(3 + -4y + (-6y + 8y2)) = 0

Combine like terms: -4y + -6y = -10y

(3 + -10y + 8y2) = 0

Solving

3 + -10y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.

(1 + -2y)(3 + -4y) = 0

Subproblem 1

Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying

1 + -2y = 0

Solving

1 + -2y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -2y = 0 + -1

-2y = 0 + -1

Combine like terms: 0 + -1 = -1

-2y = -1

Divide each side by '-2'.

y = 0.5

Simplifying

y = 0.5

Subproblem 2

Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying

3 + -4y = 0

Solving

3 + -4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -4y = 0 + -3

-4y = 0 + -3

Combine like terms: 0 + -3 = -3

-4y = -3

Divide each side by '-4'.

y = 0.75

Simplifying

y = 0.75

Solution

y = {0.5, 0.75}

Step-by-step explanation:

Answer:

C. 8y² - 10y + 3

Step-by-step explaination:

[tex](2y-1)(4y-3)[/tex]

[tex]2y(4y - 3) - 1(4y - 3)[/tex]

[tex]8 {y}^{2} - 6y - 4y + 3[/tex]

[tex]8 {y}^{2} - 10y + 3[/tex]

Answer:

27

Step-by-step explanation:

3.5x6= 21

you would do 3.5x6 because they scored 3.5 each so then all together its 21 and 48-21=27 so Veronique scored 27 points