Solve 5x+4y=-30
3x-9y=-18
Solve using the elimination method

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer:

14 Boxes Of Pens

Step-by-step explanation:

Hope This Helps :)

∑  for k = 2 to 6 is the sum in sigma notation for this series of terms.

The series is 2-4+6-8+10-12. The lower limit of summation is 2, which means, the sum starts at the initial term in the series.

The index of summation is k, which implies, the ongoing term in the series is represented by the variable k. So, the sigma notation for this series of terms is ∑ for k = 2 to 6, which means, we are subtracting up the number 2 of the numbers from 2 to 6.

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Answer:

GCF (4 ,6) = 2

Greatest common factor (GCF)

Step-by-step explanation:

Answer:

a) 1.20f

Step-by-step explanation:

Because each flower costs $1.20, the total cost will be $1.20 per flower * the number of flowers.

hope this helps! <3

The expression 1.20f represents the total cost of the flower if Marcus is going to buy flowers for his aunt. Each flower costs $1.20 option (A) 1.20f is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

Marcus is going to buy flowers for his aunt.

Each flower costs $1.20

The number of flowers Marcus buys is represented using the letter f.

The total cost can be framed in terms of f as follows:

Each flower price = $1.20

Total number of flowers = f

Total cost = 1.20f

The above expression represents the total cost of the flower,

Thus, the expression 1.20f represents the total cost of the flower if Marcus is going to buy flowers for his aunt. Each flower costs $1.20 option (A) 1.20f is correct.

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After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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\(c = 2 \pi \: r\)

\(c = 2 \times 3.14 \times 14.5\)

\(c = 91.06\)

Answer:

2nd option - 45.53 inches

Step-by-step explanation:

Circumference of a circle when given the diameter is given by the formula :

\(\pi d\)

Since we are given a certain value for pi we use that and multiply it by the diameter to given the cirumference:

3.14 × 14.5 in  =

45.53 inches

Therefore our answer is 43.53 inches (the 2nd option)

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

b.(1,2)and(3,4)

Step-by-step explanation:

Find the equation of the line based from the given for each number .refer to page 28 of your module

According to the question (a) Population: 65,489 households. Sample: 300 randomly selected households. (b) Median family income (539,000): Statistic. Average persons per household (3.1): Parameter. Percentage living in a single household unit (83%): Statistic.

A researcher divides a city into three zones based on income levels and randomly selects households from each zone for a survey on spending habits. The type of sampling used in this scenario is stratified sampling.

(a) For the city planner's survey:

- Population: All 65,489 households in the city.

- Sample: The group of 300 randomly selected households surveyed by the planner.

(b) Identifying whether each number is a parameter or a statistic:

- The $39,000 median family income of the group of randomly selected households: Statistic

- The average of 3.1 persons per household of all the households in the city: Parameter

- The 83% of the group of randomly selected households that live in a single household unit: Statistic

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Answer:

x ≈ 5.6 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin44° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{y}\) = \(\frac{x}{8}\) ( multiply both sides by 8 )

8 × sin44° = x , then

x ≈ 5.6 cm ( to 1 dec. place )

Answer:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

Step-by-step explanation:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

Answer:

4x^4−x^3+2x^2+x+7

_______________

              x

Step-by-step explanation:

4x^3-x^2+2x+7÷x+1

Answer:

9

Step-by-step explanation:

I think you may be in the wrong level.

Division is one of the four fundamental arithmetic operations. The number of friends to whom Tyrell distributed cards is 9.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Tyrell gave 3 packs of baseball cards to his friends, while he gave each friend 1/3 of a pack. Therefore, the number of friends to whom Tyrell distributed cards can be found by dividing the total number of a deck of cards that Tyrell has by the number of cards that each of Tyrell's friends will have.

Thus, the number of friends to whom Tyrell distributed cards is,

Number of friends

= Total number of decks/ Cards each friend gets

= 3 packs / (1/3) packs per friend

= (3×3)/1 friends

= 9 friends

Hence, the number of friends to whom Tyrell distributed cards is 9.

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72

x varies directly as y

hence x=k y

k=6

y=12

x=6×12

x=72

Answer:

-902.7

I hope this helps

Answer:

101 because x and 101 are alternate angles

Using the test statistic z, the value of z is 1.20.

In the given question,

Given:

Sample Size(n) = 12

Population Mean(\(\mu\)) = 25

Standard Deviation(S) = 4.6

Statistic of intereset(x) = 26.6

The test statistic z is

\(z=\frac{x-\mu}{\frac{s}{\sqrt{{n}}}}\)

Putting the value

\(z=\frac{26.2-25}{4.6/\sqrt{12}}\)

z = 1.6/(4.6/3.46)

z = 1.6/1.329

z = 1.20

Hence, the value of z is 1.20.

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Step-by-step explanation:

Image 1:

Blank 1: (0,5)

Blank 2: (5,0)

Blank 3: (0,-5)

Blank 4: (-5,0)

Image 2:

C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.

Image 3:

B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.

Image 4:

B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.

No, They aren't.

........

The sample proportions for successes, p′, and failures, q′ based on Alice's survey of 230 individuals who own a mountain bike or not are:

Sample proportions refer to the percentage of successes and failures over the total sample size.

The percentage or proportion is computed as the ratio of the number of successes and failures and the total sample size.

The total number of individuals surveyed by Alice = 230

The number that owns a mountain bike = 150

The number that does not own a mountain bike = 80 (230 - 150)

Sample proportion for successes (those who own a mountain bike), p′ = 0.652 (150 ÷ 230) = 65.2%.

Sample proportion of failures, q′ = 0.348 (80 ÷ 230) = 34.8%

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Answer:

Step-by-step explanation:

You want the ratios (red to blue), of perimeter and area, given that corresponding sides have the ratio red to blue = 5 to 8.

The ratio of perimeters is the ratio of corresponding side lengths:

  red to blue = 5 / 8

The ratio of areas is the square of the ratio of corresponding side lengths:

  red to blue = (5 to 8)² = 25 / 64

__

Additional comment

Ratios are customarily expressed in any of three equivalent forms:

It will cost $20 to waterproof the canvas truck cover. To calculate the cost of waterproofing a canvas truck cover, we need to determine the total area of the cover and then multiply it by the cost per square yard.

First, let's convert the dimensions of the truck cover from feet to yards. Since 1 yard is equal to 3 feet, the dimensions of the truck cover are: Length = 15 feet = 15/3 = 5 yards; Width = 24 feet = 24/3 = 8 yards. Next, we calculate the total area of the truck cover by multiplying the length and width: Area = Length x Width = 5 yards x 8 yards = 40 square yards.

Finally, we multiply the total area by the cost per square yard to determine the cost of waterproofing the truck cover: Cost = Area x Cost per square yard = 40 square yards x $0.50 = $20. Therefore, it will cost $20 to waterproof the canvas truck cover.

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Answer:

The effect it will have on the volume is;

The volume will be 8 times larger

Step-by-step explanation:

The dimensions of the given prism are;

The length of the prism, l = 5 in.

The breadth of the prism, b = 5 in.

The slant height of the prism,  = 4 in. by 5 in.

The height of the prism, h = 7 in.

The shape of the prism = Parallelepiped

The volume of a parallelepiped = Area of Base × Height of the prism

The base area of the parallelepiped = The length × Breadth of the parallelepiped

∴ The base area of the given parallelepiped = 5 in. × 5 in. = 25 in.²

The volume of the given parallelepiped, V₁ is found as follows;

V₁ = 5 in. × 5 in. × 7 in. = 25 in.² × 7 in. = 175 in.³

When a scale factor of 2 in applied to the dimensions of the prism, we have;

The new volume, V₂ =  2 × 5 in. × 2 × 5 in. × 2 × 7 in.

∴ V₂ = 2 × 2 × 2 × 5 in. × 5 in. × 7 in. = 8 × 5 in. × 5 in. × 7 in. = 8 × V₁

Therefore;

V₂ = 8 × V₁

The volume of the image of the object, V₂ after applying a scale factor of 2 is 8 times larger than the volume of the object, V₁.

Answer:

The answer is 3 people.

Step-by-step explanation:

$37.50 ÷ 3= $12.50 per person

Answer:

3

3×12.50=37.50

Step-by-step explanation:

12.50+12.50=25.00

25.00+12.50=37.50

12.50×3=37.50

The required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tax where x in degrees.

m = (y₂ - y₁) /  (x₂ - x₁)

The graph of lines A  has the slope of -2/3 and 2 as,

m = (y₂ - y₁) /  (x₂ - x₁)

Put points (0, 2) and (3, 0) in the above expression
m = 0-2/3-0
m = -2/3

And at x = 0 there y = 2

Thus, the required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

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Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

(A) The distribution consists of two clusters and a gap, which best describes the distribution.

So, in the given situation the distribution consists of two clusters and a gap, which best describes the distribution.

Therefore, (A) the distribution consists of two clusters and a gap, which best describes the distribution.

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The complete question is given below:

The diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. The histogram shown summarizes the diameters.

Which of the following is the best description of the distribution?

A. The distribution consists of two clusters and a gap.

B. The distribution is approximately normal.

C. The distribution is symmetric with a skew to the right.

D. The distribution is skewed to the left.

E. The distribution is uniform.

Answer:

Date: May 3, 2023

Dear Jessica,

I am writing to help you choose the tent with the greatest volume between Tent A and Tent B. To determine this, I used the formula for the volume of a cylinder and a triangular prism.

Tent A has a height of 8ft, a length of 6ft, and is in the shape of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Since Tent A has a radius of 3ft (half of its length), we can substitute these values into the formula to get:

V = π(3ft)^2(8ft)

V = 226.19 cubic feet

On the other hand, Tent B has a height of 7ft, a length of 6ft, and is in the shape of a triangular prism. The formula for the volume of a triangular prism is V = (1/2)bh, where b is the base length and h is the height. Since Tent B has a base length of 6ft and a height of 5ft, we can substitute these values into the formula to get:

V = (1/2)(6ft)(7ft)

V = 21 cubic feet

Therefore, Tent A has a greater volume than Tent B with a volume of 226.19 cubic feet compared to 21 cubic feet for Tent B. Thus, I would recommend choosing Tent A if you are looking for a tent with a larger volume.

I hope this helps you in making an informed decision. If you have any further questions or need clarification, please do not hesitate to ask.

Best regards,

[Your Name]

Step-by-step explanation:

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