Every year Chana uses her income form her job to pay for 80% of her college tuition. Next year Chana will need to contribute $2,000 toward her tuition. Next year the tuition will be $600 more then this year’s tuition. How much is this years tuition? PLEASE HELP! STEP BY STEP EXPLANATION IF YOU CAN!

Answer:

The correct option is D) $1,248.00

Step-by-step explanation:

First calculate $24 at 36 hours

24 * 36 = $864

then

calculate $48 at 8 hours because of double time

48 * 8 = $384

then

add them both up

864 + 384 = $1248

Yes, the frequency and wavelength of the sound wave change when the sound source is moving relative to the listener.

When the sound source is moving relative to the listener, the sound waves emitted by the source will appear to be compressed or stretched depending on the direction of motion. This is known as the Doppler effect. As a result, the frequency and wavelength of the sound wave will change.

The Doppler effect is a phenomenon that occurs when a sound source is moving relative to an observer. The effect causes the frequency and wavelength of the sound wave to change. The frequency of the wave is the number of wave cycles that occur in a given amount of time, usually measured in Hertz (Hz). The wavelength of the wave is the distance between two corresponding points on the wave, such as the distance between two peaks or two troughs. When the sound source is moving towards the listener, the sound waves emitted by the source are compressed, resulting in a higher frequency and shorter wavelength. This is known as a blue shift. Conversely, when the sound source is moving away from the listener, the sound waves are stretched, resulting in a lower frequency and longer wavelength. This is known as a red shift. In summary, when the sound source is moving relative to the listener, the frequency and wavelength of the sound wave change due to the Doppler effect.

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Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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The length of segment EF, considering the similar triangles in this problem, is given as follows:

x = EF = 8.

Similar triangles are triangles that share these two features listed as follows:

The proportional relationship for the side lengths in this problem is given as follows:

x/(x + 10) = 24/54

Applying cross multiplication, the value of x is obtained as follows:

54x = 24(x + 10)

30x = 240

x = 240/30

x = 8.

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Answer: 50

Step-by-Step Explanation:

To divide a non decimal number by a decimal number, we have to look at the number of places after the decimal point, in the denominator. Then we have to multiply the numerator and denominator (because if we multiply denominator with a number, we have to do the same on the numerator as well) with 10^the number of decimal places.

Here, we have 4/0.08 which has 2 decimal places. Hence we have to multiply the numerator and denominator with 10^2 which is 100.

Therefore,

= (4 * 100)/(0.08 * 100)

= 400/8

=> 50

Hence, 4/0.08 = 50

Answer:

3) = C (0.505)

4) = B (4.32 kilograms)

Step-by-step explanation:

0.505 is in-between 0.482 and 0.51

1.08 X 4 = 4.32

Answer:

3. C. 0.505 gram

4. B. 4.32 kilograms

Answer:

Interval Notation:  ( − ∞ , 3 ) ∪ ( 3 , ∞ )

Set-Builder Notation:  { x | x ≠ 3 }

Answer:

B- Second Quadrant

Step-by-step explanation:

First Quadrant- +,+

Second Quadrant- -,+

Thrid Quadrant- -,-

Fourth Quadrant- +,-

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Quadrant 2

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Answer:

c = -6

Step-by-step explanation:

Let us solve your equation step-by-step, which is this: c /−3  + 5 = 7

The first step is to simplify both sides of the equation: −1 /3 c + 5 = 7

Then, subtract 5 from both sides: -1/3c + 5 - 5 = 7 - 5 ---> -1/3c = 2

Multiply both sides by -3/1 making it equal to: c = -6.

Answer:

420 m^2

Step-by-step explanation:

Ancho: x

Largo: 2x + 2

2x + 2(2x+2) = 88

2x + 4x + 4 = 88

6x = 88 - 4

x = 84/6

x = 14

Ancho: 14

Largo : 30

Area: 14 * 30 = 420 metros cuadrados

Answer: 113.10 inches squared

Step-by-step explanation:

formula for area: A=(pi)r^2

the diameter is 2x the radius so the radius would be 12/2=6. plug 6 in for r and solve. The answer is 113.097 so when you round to the nearest hundredth it becomes 113.10

Answer:

4 square units

Step-by-step explanation:

The distance form B to C would be 4 which is the base

The distance from A to B would be 2 because: y2- y1/x2 -x1

                                                                               1-3/5-4

                                                                                 -2/1= -2(take the                                                                                                          absolute value of that)

1/2bh= 1/2(4×2)= 1/2(8)= 4

Hope this helps!!!

the percent of data within the interval from 42 to 58 is approximately 68%.

To find the percent of data within the interval from 42 to 58 in a normal distribution with a mean of 50 and a standard deviation of 8, we can use the properties of the standard normal distribution and the empirical rule.

The empirical rule states that in a normal distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, the interval from 42 to 58 is within one standard deviation of the mean. Therefore, approximately 68% of the data falls within this interval.

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Answer:

24

Step-by-step explanation:

is the answer.

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented  below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

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Answer:

$46.8308

Step-by-step explanation:

Let the original amount of the bill be x

The amount owned = $49.82(including a tip of 6%)

To get the original before tip was added, we will use the expression;

x = $49.82-(6% of $49.82)

x = $49.82 - (0.06 * 49.82)

x = $49.82 - 2.9892

x = $46.8308

Hence the bill before the tax was added is $46.8308

Answer:

y = - 6

Step-by-step explanation:

Locate x = - 7 on the x- axis, go vertically down to meet the graph at (- 7, - 6)

Then output is y = - 6 when input is x = - 7

The equation that represents the function shown on the graph is (d) y = 4x

The graph that completes the question is added as an attachment

On the graph, we have the following ordered pairs

Line starts at (0. 0) and through (2, 8), (4, 16), then end at (5, 20)

These ordered pairs are

(x, y) = (0. 0), (2, 8), (4, 16), (5, 20)

The ordered pair (0, 0) implies that the line passes through the origin

This means that the equation can be represented as

y = Y/X * x

Where

(X, Y) = any of (2, 8), (4, 16), (5, 20)

So, we have

y = 8/2 * x

Evaluate the quotient

y = 4 * x

This gives

y = 4x

Hence, the equation is (d) y = 4x

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Answer: d

Step-by-step explanation:

yw

Answer:

620

Explanation:

When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

Calculation of the number of elk:

Since the population is 7,750.

The random sample is 50.

So here be like

= 620

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Answer:

168 miles/3.5 hours = 48 mph

2.25 hours(53 mph) = 119.25 miles

168 + 119.25 = 287.25 miles

= 287 1/4 miles

In this scenario, the goal is to compare the margin of error and construct a 95% confidence interval using the standard normal distribution with the known population standard deviation.

To calculate the margin of error when the population standard deviation is known, we use the formula:

Margin of Error = Critical value * (Population standard deviation / sqrt(sample size))

Since the sample size is 8, we need to find the critical value corresponding to a 95% confidence level in the standard normal distribution. This critical value is approximately 1.96.

Using the given population standard deviation of 9.6 minutes and the sample size of 8, the margin of error is calculated as follows:

Margin of Error = 1.96 * (9.6 / sqrt(8))

Next, we can construct the 95% confidence interval using the formula:

Confidence Interval = Sample mean ± Margin of Error

Comparing the results with the original confidence interval calculated using the t-distribution, we can see if there are any differences or similarities between the two intervals.

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The cost of red grapes per pound is $2.8.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, cost of a large watermelon and 2.4 pounds of red grapes is $7.71.

Let the cost of red grapes be x.

So, the total cost = 7.71+2.4x

Cost of a platter of pre-cut fruit and 1.6 pounds of red grapes is $9.95.

The total cost = 9.95+1.6x

Person and his brother spent same amount of money.

So, 7.71+2.4x=9.95+1.6x

2.4x-1.6x=9.95-7.71

0.8x=2.24

x=2.24/0.8

x=$2.8

Therefore, the grapes cost per pound is $2.8.

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Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

The value of k is 2 that allows the trinomial 18x² - 15x + k to be factored.

Given, a trinomial

18x² - 15x + k

Now, we have to find a value of k, so that

(18x² - 15x + k) can be factorized

to factorize 18x² - 15x + k,

18k should be a number that can be split into -(a + b) to get -15,

so, 18k should be 36 so that we can get -(12 + 3) = -15

Now, the trinomial is,

18x² - 15x + 2

so the value of k = 2.

The trinomial is factorized as,

18x² - 12x - 3x + 2

6x(3x - 2) - 1(3x - 2)

(3x - 2)(6x - 1)

Hence, the value of k is 2 that allows the trinomial 18x² - 15x + k to be factored.

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Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

Answer:

x=13/5 or x=2.6

Step-by-step explanation:

The equation of the function g(x) is g(x) = -3x² + 3

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

The functions h(x) and g(x)

Where

h(x) = -3x² - 1

Also, we have

The transformation of h(x) to g(x) to be h(x) is shifted up 4 units to g(x)

This means that

g(x) = h(x) + 4

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

g(x) = -3x² - 1 + 4

Evaluate

g(x) = -3x² + 3

Hence, the equation is g(x) = -3x² + 3

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Answer:

1^-100

Step-by-step explanation:

in the negative powers the negative sign stands for the fraction line symbol and the power stands for the bottom number.

The perimeter of the fence that José will place around his house will be 24.50 meters.

To find the perimeter of the fence that José will place around his house, we need to determine the length of all four sides of the fence.
Given that the shorter side of the fence is one-fourth (1/4) of the length of the longest side, which is 9.80m, we can calculate the length of the shorter side as follows:

Length of shorter side = (1/4) * 9.80m = 2.45m

Since the fence will form a rectangle around José's house, opposite sides will have the same length. Therefore, the length of the other shorter side will also be 2.45m.

To find the perimeter, we need to add up the lengths of all four sides of the fence:
Perimeter = Length of longer side + Length of shorter side + Length of longer side + Length of shorter side
        = 9.80m + 2.45m + 9.80m + 2.45m
        = 24.50m
So, the perimeter of the fence that José will place around his house will be 24.50 meters.
In conclusion, the perimeter of the fence that will be placed around Raúl's house is 24.50 meters.

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