Paul's bank account used to have $1,250 dollars in it. After saving and following a strict budget he manages to increase that amount by 40%. How much money is in his bank account now?

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

so

107%

or?

we use the two points and with that we find the slope first

\(\frac{y2-y1}{x2-x1}\)

plug in (20,62) and (10,32)

\(\frac{32-62}{10-20}\)

equals

\(\frac{-30}{-10}\)

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2  = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

Answer:

7.) 26

8.) 16

9.) 14

10.) 27

Step-by-step explanation:

Answer:

Ok heyy...then

Welcome...

See below...

Step-by-step explanation:

1.5+(3×7)

= 5+21

= 26 ans,,

2. (12×2)-8

= 24-8

= 17 ans,,

3.(14÷2)+7

= 7+7

= 14 ans,,

4.5+3+(10×2)

= 5+3+20

= 28 ans,,

Answer:

0 years: $0

5 years: $460

10 years: $520

15 years: $580

20 years: $640

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The approximate percentage of bulb replacement requests between 57 and 73 is 95%.

The empirical rule, also known as the 68-95-99.7 rule, is used to determine the percentage of observations that lie within a specified number of standard deviations of the means in a normal distribution. The rule states that approximately:

68% of the observations are within one standard deviation of the means

95% of the observations are within two standard deviations of the mean

99.7% of the observations are within three standard deviations of the mean

The given problem states that the distribution of the number of daily requests for fluorescent light bulbs at a university is bell-shaped and has a mean of 57 and a standard deviation of 8. Therefore, to find the approximate percentage of light bulb replacement requests between 57 and 73, we need to find the number of standard deviations of the means that are 73 and 57.

\(z-score = (x - \mu) / \sigma\)

Where

For x = 73,

\(z-score = (73 - 57) / 8\\z-score = 2\)

For x = 57,

\(z-score = (57 - 57) / 8\\z-score = 0\)

Therefore, observations 57 and 73 are separated by two standard deviations.

Using the empirical rule, we can say that approximately 95% of the observations lie within two standard deviations of the mean. Therefore, approximately 95% of the daily requests for replacement of fluorescent bulbs in the university are between 57 and 73.

Thus, the approximate percentage of bulb replacement requests between 57 and 73 is 95%.

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The piece of gum is stuck to the rear wheel. Then the minimum height is 8ft and the maximum height is 8ft from the ground.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A rider is riding a bicycle on a 6-foot wall at a rate of 1 foot per second.

The wheels have a radius of 1 foot, and a piece of gum becomes stuck to the rear wheel as shown, continuing to travel with the bicycle.

Then the diameter of the rear wheel is 2 ft.

A rider is riding a bicycle on a 6-foot wall, therefore the height of the lowest point of the rear wheel is 6 ft from the ground. And the highest point of the rear wheel is (6 + 2 = ) 8 ft.

If the piece of gum is stuck to the rear wheel, hence the minimum height is 8ft and the maximum height is 8ft from the ground.

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Answer:

minimum 6ft, max 8 ft

Step-by-step explanation:

Answer:there are 21 fish in the tank.

Step-by-step explanation:

Let's assume that the total number of fish in the tank is x.

We know that 6/7 of the fish have a red stripe on them. Therefore:

(6/7)x = number of fish with red stripes

We also know that the number of fish with red stripes is 18. Therefore:

(6/7)x = 18

Multiplying both sides of the equation by (7/6), we get:

x = 21

True. Statistical process control is commonly used in service industries, including blood testing labs, to monitor and analyze processes and determine normal levels of variation.

These normal levels of variation are often used as the basis for setting specifications and determining if a process is in control or out of control. Therefore, they can be considered the "voice of the specification" in service industries.

True. Statistical process control is used in service industries like a blood testing lab to determine normal levels of variation. Normal levels of variation are considered the voice of the specification. This helps to maintain quality and control the process.

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THE CORRECT ANSWER IS 57 CM³!

The answer can be stated as, " When writing a decimal number that is less than 1, one must apply the trailing zero rule."

Significant figures are the number of digits placed in a number that are required to indicate the measurement of a quantity with reliability.

Significant figures have following rules,

The number of zeros lying between any two numbers are significant. For example in 301 the zero between 3 and 1 are significant.

The number of zeros lying at the end of a decimal are significant. For example, in 0.300 there zeros after 3 are significant.

A decimal number can be written as in two parts.

The first part that comes before decimal is integer.

And, the second part are the equivalent part of the order of 10.

In order to write a decimal number less than one, the number before decimal is zero.

And, the numbers coming after it are the significant figures.

Thus, the trailing zeros before a digit and decimal are significant.

Hence, trailing zero rule can be applied for the given case.

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Answer:

Hello Darling! Answer: 14%

Step-by-step explanation:

Now I'm not always accurate, I can re-check myself if you think it isn't right! c;

Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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To find the number of software developers who are not proficient in any of the three languages, we need to subtract the total number of software developers who are proficient in at least one language from the total number of software developers (240).

Step-by-step solution: Given data: Out of 240 software developers102 are proficient in Java86 in C#126 in Python41 in both C# and Java37 in both Java and Python23 in both C# and Python10 in all three programming languages Number of software developers proficient in Java and C#: 41Number of software developers proficient in Java and Python: 37.

Number of software developers proficient in C# and Python: 23Number of software developers proficient in all three languages: 10Let's add up all these numbers to get the total number of software developers who are proficient in at least one language:41 + 37 + 23 + 102 + 86 + 126 - 10 = 405Now, to find the number of software developers who are not proficient in any of the three languages, we need to subtract the total number of software developers who are proficient in at least one language from the total number of software developers (240).240 - 405 = -165However, this result doesn't make sense because it would mean that there are negative software developers. Therefore, we can conclude that there is an error in the given data.

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(a) At time t=c, the rate of change of the volume is -9π cubic inches per minute.

(b) The rate at which the height of the clay is increasing with respect to time is 8/3 inches per minute.

(c) The rate of change of the radius of the clay with respect to the height of the clay can be expressed as dr/dh = -V/(2πh²).

Given that,

A sculptor is using modeling clay to form a cylinder.

The clay has a constant volume.

The height of the clay increases as the radius decreases, but it retains its cylindrical shape.

At time t=c:

The height of the clay is 8 inches.

The radius of the clay is 3 inches.

The radius of the clay is decreasing at a rate of 1/2 inch per minute.

We know that the volume of the clay remains constant.

So, using the formula V = πr²h,

Where V represents the volume,

r is the radius, and

h is the height,

We can express the volume as a constant:

V = π(3²)(8)

= 72π cubic inches.

(a) To find the rate of change of the volume with respect to time.

Since the radius is decreasing at a rate of 1/2 inch per minute,

Express the rate of change of the volume as dV/dt = πr²(dh/dt),

Where dV/dt is the rate of change of volume with respect to time,

dh/dt is the rate of change of height with respect to time.

Given that dh/dt = -1/2 (since the height is decreasing),

dV/dt = π(3²)(-1/2)

= -9π cubic inches per minute.

So, at time t=c, the rate of change of the volume is -9π cubic inches per minute.

(b) To find the rate at which the height of the clay is increasing with respect to time,

Differentiate the volume equation with respect to time (t).

dV/dt = π(2r)(dr/dt)(h) + π(r²)(dh/dt).          [By chain rule]

Since the volume (V) is constant,

dV/dt is equal to zero.

Simplify the equation as follows:

0 = π(2r)(dr/dt)(h) + π(r²)(dh/dt).

We are given that dr/dt = -1/2 inch per minute, r = 3 inches, and h = 8 inches.

Plugging in these values,

Solve for dh/dt, the rate at which the height is increasing.

0 = π(2)(3)(-1/2)(8) + π(3²)(dh/dt).

0 = -24π + 9π(dh/dt).

Simplifying further:

24π = 9π(dh/dt).

Dividing both sides by 9π:

⇒24/9 = dh/dt.

⇒ dh/dt = 8/3

Thus, the rate at which the height of the clay is increasing with respect to time is dh/dt = 8/3 inches per minute.

(c) For the last part of the question, to find the rate of change of the radius of the clay with respect to the height of the clay,

Rearrange the volume formula: V = πr²h to solve for r.

r = √(V/(πh)).

Differentiating this equation with respect to height (h), we get:

dr/dh = (-1/2)(V/(πh²)).

Therefore,

The expression for the rate of change of the radius of the clay with respect to the height of the clay is dr/dh = -V/(2πh²).

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Answer: $561.75

Step-by-step explanation:

30% off:

750(1 - 0.3)

750(0.7) = 525

Now, add 7% sales tax

525 x (1.07) = 561.75

Answer:

Fraction means how much from the main graph is it taking, for example, the circle is a 1/4 white 3/4 green to find the decimal, divide the number under the line by the one above it, 4 divided by 3 for example

Step-by-step explanation:

Fraction means how much from the main graph is it taking, for example, the circle is a 1/4 white 3/4 green to find the decimal, divide the number under the line by the one above it, 4 divided by 3 for example

Answer:

\(\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }\)

Step-by-step explanation:

hello,

by definition we can write

\((x-5)(x+4)(x-1)\)

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

\((x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20\)

hope this helps

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ 2(a  -3) + 4a

Simplify the expression, then we have

⇒ 2(a  -3) + 4a

⇒ 2a - 6 + 4a

⇒ 6a - 6

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

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The missing options are given below.

A. 6a - 6

B. 6a - 1

C. a - 6

D. None of the above

Answer:

x = ± 4i

Step-by-step explanation:

x^2 + 19 = 3

Subtract 19 from each side

x^2 +19-19 = 3-19

x^2 = -16

Take the square root of each side

sqrt(x^2) = sqrt(-16)

x = sqrt(-1*16)

x =sqrt(-1) * sqrt(16)

We know that the square root of -1 is the imaginary number i

x = ± 4i

To find the mean and standard deviation of the corrected pH measurements, we can use the following formulas:

Corrected Mean = (Original Mean + Correction Factor) * Multiplication Factor

Corrected Standard Deviation = Original Standard Deviation * Multiplication Factor

The correction factor is 0.3 and the multiplication factor is 1.4. Therefore, the corrected mean is:

Corrected Mean = (4.8 + 0.3) * 1.4 = 7.14

And the corrected standard deviation is:

Corrected Standard Deviation = 1.2 * 1.4 = 1.68

Therefore, the mean of the corrected pH measurements is 7.14 and the standard deviation is 1.68.

In summary, to find the corrected mean and standard deviation of the pH measurements, we need to add the correction factor (0.3) to the original mean, multiply the result by the multiplication factor (1.4), and multiply the original standard deviation by the multiplication factor. The corrected mean is 7.14 and the corrected standard deviation is 1.68.

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Answer:

(2,3)

Step-by-step explanation:

The equations for your midpoints

\(\frac{x1+x2}{2}\), \(\frac{y2+y1}{2}\)

So for the x coordinate midpoint:

=(-3+7)/2

=(4)/2

=2

And now the y coordinate midpoint:

=(10+-4)/2

=(6)/2

=3

midpoint=(2,3)

(2,3)

The equations for your midpoints

,

So for the x coordinate midpoint:

=(-3+7)/2

=(4)/2

=2

And now the y coordinate midpoint:

=(10+-4)/2

=(6)/2

=3

midpoint=(2,3)

The difference quotient evaluated in x = 2 gives:

[ f(2 + h) - f(2)]/h = h + 9

So the last option is the correct one.

Here we know the function:

f(x) = x^2 + 5x + 6

And we want to find the difference quotient:

[ f(2 + h) - f(2)]/h

Let's evaluate the function:

f(2 + h) = (2 + h)^2 + 5*(2 + h) + 6

            = 2^2 + h^2 + 4h + 10 + 5h + 6

            = h^2 + 9h + 20

f(2) = 2^2 + 5*2 + 6

f(2) = 4 + 10 +  6 = 20

Then we have:

[ f(2 + h) - f(2)]/h

[h^2 + 9h + 20 - 20]/h

[h^2 + 9h ]/h

Taking the quotient we get:

[h^2 + 9h ]/h = h + 9

So the correct option is the last one.

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Answer:

Step-by-step explanation:

i have no clue to be honest

When estimating the cash flows on a given project, firms should include expenses from previous years, such as research & development costs. (True)

When estimating cash flows for a project, it is important to consider all relevant expenses, including those incurred in previous years. Research and development (R&D) costs are often incurred over an extended period before a project reaches the commercialization stage. Including these expenses in the cash flow estimation provides a more accurate picture of the project's financial performance. R&D costs can be significant and have a direct impact on the project's profitability.

By including these expenses, firms can evaluate the true costs and potential returns associated with the project. Additionally, including past expenses helps in assessing the project's historical performance and provides valuable insights for decision-making.

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Answer:

An amoeba divides into 2 amoebas every hour.

Step-by-step explanation:

Answer:4x=45

Step-by-step explanation:

Answer: 4x=45

Step-by-step explanation: I just took the edgenuity quiz on this