Magnus wants to borrow $26,000 to remodel his kitchen. He is hoping that his monthly payment will be no more than $372. The bank is offering a 4.3% loan. What will the length of his loan be if he is able to secure a $372 monthly payment?

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is 36 seconds.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

\(\omega = \mathbf{\dfrac{\theta}{t}}\)

Therefore;

\(t = \dfrac{\theta}{\omega}\)

Which gives;

\(t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s\)

The time it takes the sprinkler to reach the far right position, t = 36 seconds.

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Answer:

61.8147 degrees

Step-by-step explanation:

To find the angle on the top of a tree, take the inverse of tan to find the angle.

\(tan^{-1}\) = opposite/adjacent

Opposite= 23.7m

Adjacent= 12.7m

\(tan^{-1} =23.7/12.7\)

= 61.8147

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

x = -4, 7

Step-by-step explanation:

We are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.

f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.

We can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.

On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.

This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.

So,  it means that x = -4, 7.

Answer:

D

Step-by-step explanation:

yeah-ya....................... right?

Answer:

D

Step-by-step explanation:

hope it help correct me if wrong

The statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

In relation to the original function f, the inverse function is denoted by the symbol f⁻¹, and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function.

We know that inverse of function is NOT the reciprocal of f. The composition of the function f and the reciprocal function f inverse gives the domain value of x.

Hence, the statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

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The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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C =6600 + 25 n, where n is the total number of made toys.

Detailed explanation:

The cost to produce each toy is $25.

It will cost $25 billion to produce all the toys we need.

Additionally, the cost of developing the new toy was $ 6600.

As a result, the total cost is given by C =  6600 + 25n, where n is the quantity of toys that will be produced.

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:To find the equation of the line passing through two points, you can use the two-point form1234, which is given by:

y−y1​=m(x−x1​)

where m is the slope of the line, (x1​,y1​) and (x2​,y2​) are the two points through which the line passes, and (x,y) is an arbitrary point on the line.

To find the slope m, you can use the formula:

m=x2​−x1​y2​−y1​​

In your case, the two points are (0,4) and (8,0), so you can plug them into the formulas and get:

m=8−00−4​=−21​

y−4=−21​(x−0)

Simplifying this equation, you get:

y=−21​x+4

This is the equation of the line in slope-intercept form5, where −21​ is the slope and 4 is the y-intercept.

Step-by-step explanation:j

The formula that can be used to illustrate consecutive even numbers is a + 2.

It should be noted that the information is incomplete. Therefore, an overview will be given.

It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.

Examples of such numbers include 2, 4, 6,8, 10, etc.

In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

B. Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

Step-by-step explanation:

Remember we are told there's already a question whether pediatricians should recommend early exposure or avoidance. Thus, the research question should answer these two issues (early exposure or avoidance).

Hence, the question we are asking is: Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

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The scale factor is 7:2, the perimeter ratio is 7:2, and the area ratio is 49:4.

Scale Factor:

The scale factor represents the ratio of corresponding lengths in similar figures.

In this case, the scale factor is given as 7:2.

Perimeter Ratio:

The perimeter ratio of two similar figures is equal to the ratio of their corresponding perimeters.

Since the scale factor is 7:2, the perimeter ratio will also be 7:2.

This means that the ratio of the perimeters of the first figure to the second figure is 7:2.

Area Ratio:

The area ratio of two similar figures is equal to the square of the scale factor. In this case, the scale factor is 7:2.

Thus, the area ratio will be (7/2)² = 49/4.

This indicates that the ratio of the areas of the first figure to the second figure is 49:4.

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Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable X represent the amount of money that the family has invested in different real estate properties.

The random variable X follows a Normal distribution with parameters μ = $225,000 and σ = $50,000.

It is provided that the family has invested in n = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

\(\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39\)

Now the lowest 80% of the amount invested can be represented as follows:

\(P(\bar X<\bar x)=0.80\\\\\Rightarrow P(Z<z)=0.80\)

The value of z is 0.84.

*Use a z-table.

Compute the value of the mean amount invested as follows:

\(\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}\)

   \(=225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57\)

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Answer:

10/10

Tama po Yan Yan po isagot nyo

Answer:

All the answers are correct

Step-by-step explanation:

5/10 = 1/2

any fraction that equals to 1 can be the numerator and the denominator second fraction.

The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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Answer:

{3, 3, 6, 7, 9}

a b c are positive integers with a common factor.

Any number that is a factor of all three numbers is a common factor of three numbers. The common factor, for instance, is 2 if the three integers are 4, 12, and 18. Any integer more than zero, including 1, can be a common factor.

Factors are numerical values that divide evenly into other numerical values. You can divide one number by another and then check to see whether the residue is zero to see if two numbers are factors of one another.

The first number is a factor of the second number if the residual is zero. As an example, 4 is a factor of 12 since 12 divided by 4 equals 3, leaving no remainder.

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The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

15, 33

(if I'm not wrong, it should work this way)

Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Explanation

Let's call the given matrix A and B. Therefore,

Therefore,

We will subtract the matrix element by element

Answer:

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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