Determine the effective annual yield for each investment.
Then select the better investment. Assume 360 days in a year.
A. 9% compounded monthly
B. 9.25% compounded annually

The height of the school is 13.27 m.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have.

From the information given, we can draw the figure given below,

Now,

Triangle ABC and Triangle DCE are similar.

So,

x / 1.25 = 11.15 / 1.05

x = (11.15 x 1.25) / 1.05

x = 13.27 m

Thus,

The height of the school is 13.27 m.

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Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?

Answer:

cook

Step-by-step explanation:

Answer:

16

every time you go up 10% there will be 2 added

2*8=16

Step-by-step explanation:

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

10% of a number is 2 less than 20% of the same number,

10% .x=20%x-2

Convert % to the decimal by diving with 100.

10/100x=20/100x-2

0.1x=0.2x-2

Subtract 0.1x on both sides

0=0.2x-0.1x-2

Add 2 on both sides

2=0.2x-0.1x

2=0.1x

Divide both sides by 0.1

20=x

Now we need to find 80% of 20.

80% of 20

80/100×20

0.8×20

16

Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

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Answer:

18 = 3 × 6

Step-by-step explanation:

Answer:

222

Step-by-step explanation:

9*23=207

207+15=222

Answer:

-4(2t+1)(2t-7)

Step-by-step explanation:

First factor out the common term -4

Then factor out -4^2

Answer:

the answer is( -42t+1)(2t-7)

Answer:

A) \(y=-5x-4\)

B) \(y=-5x+4\)

C) \(y=\frac{x-4}{5}\)

Step-by-step explanation:

So we have the equation:

\(y=5x+4\)

Let's write this in function notation. Thus:

\(y=f(x)=5x+4\)

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

\(f(x)=5x+4\\-(f(x))=-(5x+4)\)

Simplify:

\(-f(x)=-5x-4\)

B) To flip a function over the y-axis, change the variable x to -x. Thus:

\(f(x)=5x+4\\f(-x)=5(-x)+4\)

Simplify:

\(f(-x)=-5x+4\)

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

\(f(x)=5x+4\)

Switch:

\(x=5f^{-1}(x)+4\)

Subtract 4 from both sides:

\(x-4=5f^{-1}(x)\)

Divide both sides by 5:

\(f^{-1}(x)=\frac{x-4}{5}\)

And we're done :)

ANSWER:

C)

STEP-BY-STEP EXPLANATION:

With the help of the statement, we can conclude that the equation is the following because the value of 0.12 must go together with the x, and that the total value must be 44.36

Its dividing by -2

................................

Sara should have $4,578 removed from her projected income of $124,075 for the year 2022.

Determine Sara's taxable income by subtracting the standard deduction for head of household from her projected income. According to the tax table, the standard deduction for head of household for 2022 is $18,650. Therefore, Sara's taxable income is:

$124,075 - $18,650 = $105,425

Find the tax bracket that Sara's taxable income falls into. According to the tax table, for head of household, the tax brackets for 2022 are:

10% on taxable income from $0 to $14,100

12% on taxable income over $14,100 to $54,200

22% on taxable income over $54,200 to $86,350

24% on taxable income over $86,350 to $164,900

32% on taxable income over $164,900 to $209,400

35% on taxable income over $209,400 to $523,600

37% on taxable income over $523,600

Since Sara's taxable income is $105,425, she falls into the 24% tax bracket.

Calculate the amount of taxes that Sara owes based on her tax bracket. To do this, we need to find the amount of taxable income that falls within the 24% tax bracket, and multiply it by the tax rate. According to the tax table, the amount of taxable income within the 24% tax bracket for head of household is:

$105,425 - $86,350 = $19,075

Therefore, Sara's tax liability is:

$19,075 x 0.24 = $4,578

So, Sara should have $4,578 removed from her projected income to cover her taxes for the year.

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Answer:

a. 1/3+3/5 =14/15

b. 11/12 - 5/6 =1/12

Step-by-step explanation:

The error in number 1 is the that the L.C.M of 3 and 5 is 15 and not 8.

In number 2, I think Jason didn't look for the L.C.M before he solved.

Answer:

a=25 b=100 c=17 d=68

Step-by-step explanation:

the test said so

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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this is

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

\(T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200\)

She can select the shirts in 775,200 ways.

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

it is 37.

Step-by-step explanation:

125 - 88 is 37

Answer: B

Step-by-step explanation:

We can define the North as our positive y-axis, and the East as the positive x-axis.

The position of the airport is the (0, 0)

Then the position of the first plane is: (200 km north and 50 km east)

(50km, 200km)

The position of the other plane is: (30 km north and 100 km west)

(-100km, 30km)

Now, if we have two points (a, b) and (c, d)

The distance between those points is:

D = √( (a - c)^2 + (b - d)^2)

Then the distance between the planes is:

D = √( (50km - (-100km))^2 + (200km - 30km)^2)

D = √( (150km)^2 + (170km)^2)

D = 226.7km

Then the distance is closest to 200km, the correct option is B.

On a coordinate plane, we have:

The closest distance between the planes is 200km

The positions of the two planes is given as:

\(A = (50,200)\) --- 50km east and 200km north

\(B = (-100,30)\) --- 100km west and 30km north

The distance between the planes is calculated using the following distance formula:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

So, we have:

\(d = \sqrt{(50--100)^2 + (200-30)^2}\)

\(d = \sqrt{150^2 + 170^2}\)

\(d = \sqrt{51400}\)

\(d = 226.72km\)

From the list of given options, 200km is the closest to 226.72km

Hence, the closest distance between the planes is 200km

See attachment for the positions of both planes

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Answer:

a four-sided plane rectilinear figure with opposite sides parallel.

Step-by-step explanation:

Answer:

Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.

In addition to having parallel sides, parallelograms also have some other notable properties:

Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.

Step-by-step explanation:

A view which Felix can use to construct the same figure include the following: A. a bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube.

In Mathematics and Geometry, an isometric sketch is sometimes referred to as an isometric drawing and it can be defined as a graphical (pictorial) representation of a physical object or geometric shape in technical and engineering drawings, especially by drawing all its three dimensions (3D) at full scale;

In this context, we can reasonably infer and logically deduce that the front view is a view which Felix can use to construct the same three-dimensional figure because its orientation influences the other views.

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Answer:

1/15 kg

Step-by-step explanation:

Divide by 5 can be written as multiply by 1/5

1/3 * 1/5 = 1/15

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

Answer:

5/6

Step-by-step explanation:

The reciprocal is where you flip the fraction

6/5 -> reciprocal -> 5/6

I'm not sure about your answer choices tho, sorry

Answer:

Step-by-step explanation:

first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

Answer:

integers are not fractions so there you go

Answer:

The function g(x) is odd.

Step-by-step explanation:

Even and odd functions:

If for every value of x, f(x) = f(-x), the function is even.

If for every value of x, f(x) = -f(x), the function is odd.

If those statements are false, the function is neither even nor odd.

In this question:

\(g(x) = x^{3}\)

\(g(-x) = (-x)^{3} = -x^{3} = -g(x)\)

Since g(x) = -g(-x), the function g(x) is odd.

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

\(X \sim Bin(n = 1200,p =0.3)\)

The Binomial can be approximated to normal with:

\(\mu = np = 1200 \times 0.3 \\ \\ \mu= 360\)

\(\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875\)

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, \(\mu\) = 360, \(\sigma\) = 15.875

Using the z test statistics;

\(z = \dfrac{x - \mu}{\sigma}\)

\(z = \dfrac{347.5 - 360}{15.875}\)

\(z = \dfrac{-12.50}{15.875}\)

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

Answer:

y = 0.1x+200

Step-by-step explanation:

First, let's establish that:

x is independent

y is dependent

Basically, the value of y will depend on what x is.

The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)

The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200

now, the equation is:

y=0.1x+200

Hope this helps!