The water in a pool is evaporating at a rate of 5% per day. If the pool has 18,800gallons in it today, how many gallons will it have in 9 days? Round your answer to thenearest whole number, if necessary.

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Answer:

B,

Step-by-step explanation:

y - 7 = 3(x - 5)

y - 7 = 3x - 15

y = 3x - 8

answer is B

Answer:

y = 4x -13

y = 4x -13Step-by-step explanation:

y= mx + b

y= mx + b m is the Slope

y= mx + b m is the Slopem = 4

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + b

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b-13 = b

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b-13 = bThe line in slope intercept form is

y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b-13 = bThe line in slope intercept form isy = 4x -13

Answer:

The maximum number of minutes to keep the cost at $50 or less is 110 minutes

Step-by-step explanation:

Given

\(C(x) = 30\) ---- \(x < 60\)

\(C(x) = 30 + 0.40(x - 60)\) --- \(x \ge 60\)

Required

\(C(x) = 50\) ---- find x

We have:

\(C(x) = 30 + 0.40(x - 60)\)

Substitute 50 for C(x)

\(50 = 30 + 0.40(x - 60)\)

Subtract 30 from both sides

\(20 = 0.40(x - 60)\)

Divide both sides by 0.40

\(50 = x - 60\)

Add 60 to both sides

\(110 = x\)

\(x =110\)

Answer:

94

Step-by-step explanation:

Answer:

94 is the answer

Step-by-step explanation:

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

21 ft

Step-by-step explanation:

i got it right

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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The solution to the triangle is: a ≈ 22.4, b = 4 , c ≈ 77.2 ,A = 27° ,B ≈ 42.5°

C ≈ 110.5°  we got the answer by using law of sine

what is  law of sine?

The Law of Sines, also known as the Sine Rule, is a mathematical formula used in trigonometry to relate the sides and angles of a non-right-angled triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

In the given question,

Using the law of sines and the fact that the angles of a triangle sum up to 180 degrees, we can solve for the missing parts of the triangle:

sin(A)/a = sin(B)/b = sin(C)/c

sin(27)/a = sin(B)/42 = sin(C)/72

We can use the first equation to solve for a:

a = b(sin(A)/sin(B)) = 42(sin(27)/sin(B)) ≈ 22.4161

Next, we can use the second equation to solve for sin(B):

sin(B) = b(sin(A)/a) = 42(sin(27)/a) ≈ 0.6822

Taking the inverse sine, we find that B ≈ 42.4827 degrees.

Now we can use the fact that the angles of a triangle sum up to 180 degrees to solve for C:

C = 180 - A - B ≈ 110.5173 degrees.

Finally, we can use the law of sines again to solve for the remaining side, c:

c = a(sin(C)/sin(A)) = 22.4161(sin(110.5173)/sin(27)) ≈ 77.2352

Therefore, the solution to the triangle is:

a ≈ 22.4

b = 42

c ≈ 77.2

A = 27°

B ≈ 42.5°

C ≈ 110.5°

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The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

Assuming that an unfair coin is tossed with outcomes of HH, HT, TH, and TT, and the probability is 0.40, 0.92, 0.29, and 0.55, then the given probabilities do not form a valid probability model for the sample space of two coin tosses.

The given probabilities do not form a valid probability model for the sample space of two coin tosses since a valid probability model must satisfy the following conditions:

To calculate the sum of the probabilities, we simply add up all of the given probabilities:

0.40 + 0.92 + 0.29 + 0.55 = 2.16

In this case, the sum of the probabilities is 2.16, which is greater than 1. Hence, the given probabilities do not form a valid probability model for the sample space of two coin tosses.

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Answer:

  £100

Step-by-step explanation:

The difference in number of ratio units is 5-3 = 2, so each ratio unit represents £40/2 = £20.

Tom's received 5 ratio units, or £20 × 5 = £100.

__

Sophia received £60.

The cost of the jug is $24

Let the cost of the mug be m

Let the cost of the jug be j

Then, we have that;

3m + 2j = $84

m + j = $36

make 'j' the subject from equation (2), we have;

j = 36 - m

Substitute the value in equation (1), we have;

3m + 2(36 - m) = 84

expand the bracket

3m + 72 - 2m = 84

collect the like terms

m = 84 - 72

m = $12

Substitute the value

j = 36 - 12

j = $24

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AS per the given confidence interval, the z score is 0.54

The term confidence interval refers a parameter will fall between a pair of values around the mean.

Here we have given that if the 90 percent confidence interval for u is from 34 to 50 then there is a 10 percent

And we need to find the z value.

While we looking into the given situation, we have identified the following values,

Confidence interval = 95%

Interval = 34 - 50

Mean = 10

Through the given interval we have identified the that sample size was calculated as,

=> 50 - 34

=> 16

Then the z score is

=> z = 10/√16

=> z = 10/4

=> z = 2.5

Then according to the confidence interval, the value from the z table is obtained as.

=> z = 1.96

Then the difference is

=> 2.5 - 1.96

=> 0.54

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Required two transformations are translated according to the rule (x, y) → (x + 8, y + 2) reflected across the x-axis.

How to find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″?

To find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″, we can compare the coordinates of corresponding vertices of both pentagons.

Starting with point A, we see that it has been translated 8 units to the right and 2 units up to become A″. Therefore, the first transformation is a translation according to the rule (x, y) → (x + 8, y + 2).

Next, we can compare the y-coordinates of point A and A″ to see if a reflection has been applied. We see that the y-coordinate of A has changed from 5 to -7 in A″, indicating that a reflection has been applied across the x-axis.

Therefore, the two transformations applied to pentagon ABCDE to create A″B″C″D″E″ are:

Translated according to the rule (x, y) → (x + 8, y + 2)

Reflected across the x-axis.

The other options can be ruled out as they do not correctly reflect the transformation that was applied.

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The y-intercept is -6, when the coordinate is -3,-3 and the slope is -1

More specifically, it is defined as the ratio of the change in the y-coordinate (vertical) to the change in the x-coordinate (horizontal) between any two points on the line or surface.

The slope of a line is often denoted by the letter "m" and can be calculated using the formula:

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

where (x1, y1) and (x2, y2) are two points on the line.

A positive slope indicates that the line is rising from left to right, while a negative slope indicates that the line is falling from left to right. A slope of zero indicates that the line is horizontal.

The slope of a surface can be calculated using partial derivatives. The slope of a surface at a point is the slope of the tangent plane at that point.

Slope is an important concept in mathematics, physics, and engineering, and is used to calculate rates of change, velocities, and accelerations, and to model relationships between variables. It is also used in a variety of practical applications, such as in construction and surveying, where it is necessary to determine the slope of the land.

To find the equation of the line when the coordinate is (-3, -3) and the slope is -1, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the given point. Plugging in the values, we get:

y - (-3) = -1(x - (-3))

y + 3 = -x - 3

y = -x - 6

The y-intercept is the point where the line intersects the y-axis, which occurs when x = 0. Plugging in x = 0 into the equation, we get:

y = -0 - 6

y = -6

Therefore, the y-intercept is -6.

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Answer:

8y-32

Step-by-step explanation:

4x2y=8y

-8x4=-32

Check the picture below.

so the prism is really just two triangles and three rectangles, so

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ two~triangles }{2\left[\cfrac{1}{2}(\underset{b}{8})(\underset{ h }{3}) \right]}~~ + ~~\stackrel{ two~rectangles }{2(4)(5)}~~ + ~~\stackrel{ rectangle }{(8)(4)}}\implies 24+40+32\implies \text{\LARGE 96}~in^2\)

Answer:25²

Step-by-step explanation: add 5+5+3+8+4

The measure of other two sides of triangle is12cm and 17cm.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane. In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

If all of geometry is the Euclidean plane, then all triangles are enclosed in a single plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

here it is given in the question

the base of the triangle is 10cm.

then the value of other two side is 12cm and 17cm.

Hence, The measure of other two sides of triangle is12cm and 17cm.

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Answer:

answer to your question is 4

Answer:

4 units i think

Step-by-step explanation:

i dont know how beacuse 4 is answer

6% of the salary is $366

The total amount that would in the retirement account in the account each month is $732.

The amount that would be in the retirement account when you retire is $345,418.50.

The amount of money that you put in the account is $162,504.

The amount of money that the employer put in the account is $162,504.

The interest that was gained over the years is $20,410.50.

3% of the salary is $183.

The total amount that would in the retirement account in the account each month is $366.

The amount that would be in the retirement account when you retire is $172,709.25.

The amount of money that you put in the account is $81,252

The amount of money that the employer put in the account is $81,252

The interest that was gained over the years is $10,205.25.

6% of the salary = salary x percentage

6% of the salary = 6% x $6,100

6% of the salary = 0.06 x $6,100 = $366

The amount in your account at the end of the month = amount the company puts + amount you deposit

= $366 + $366 = $732

Amount that would be in your retirement account = (1 + interest rate) x amount in the account

Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year

Amount in the account at retirement = $732 x 12 x (62 -25)

$732 x 12 x 37 = $325,008

Amount in the account at retirement = (1 + 0.0628) x $325,008 = $345,418.50

Amount the employer put in the account =  $325,008 \ 2 = $162,504

Interest earned = $345,418.50 - $325,008 = $20,410.50

3% of the salary = salary x percentage

3% of the salary = 3% x $6,100

3% of the salary = 0.03 x $6,100 = $183

The amount in your account at the end of the month = amount the company puts + amount you deposit

= $183 + $183 = $366

Amount that would be in your retirement account = (1 + interest rate) x amount in the account

Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year

Amount in the account at retirement = $366 x 12 x (62 -25)

$366 x 12 x 37 = $162,504

Amount in the account at retirement = (1 + 0.0628) x $325,008 = $172,709.25

Amount the employer put in the account =  $162,504 \ 2 = $81,252

Interest earned = $172,709.25 - $162,504 = $10,205.25

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Answer:

B

Step-by-step explanation:

5•x=5x

5• (-5)=-25

5x-25 and 5(x-5) are equivalent

Answer:

awnsrer is b 5(x-5) and 5x - 25

Answer:

Step-by-step explanation:

Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.

Q 5. This question belongs to Physics and not Mathematics!!!

Wavelength (lambda) = Velocity (v) ÷ Frequency ( \(sec^{-1}\) or Hz )

f = v / (lambda)

f = 3 / 2 = 1.5 (Hz)

Q 6. 0.060 ÷ 2 = 0.030 m

Answer:

11:32:00 AM

Step-by-step explanation: