A principal amount of $3000 is invested for 3 years at 4% compounded semi-annually. Use the compound interest formula to determine how much interest was earned on the investment.

The information about SAS Congruence is illustrated below.

The complete information wasn't found. Therefore, an overview will be given. SAS congruence simply means that two triangles are congruent.

This implies that the sides of the triangles are equal. The rule states that if two sides and the angles if one triangle are equal to two sides and included in another triangle, then the triangles are congruent.

For example, given AC = PQ, BC = RQ and angle C = angle P. Then according to SAS, ABC = QRP.

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Answer:

D. 0≤y≤5

Step-by-step explanation:

The range refers to how far on the y axis a function exists on a graph. This function starts at y=0 and ends at y=5, meaning you can find a point on the function for any  y-level between 0 and 5. So y is greater than or equal to 0, and is less than or equal to 5.

A: A function with a range of all real numbers goes both up and down infinitely, however this function does not go up and down infinitely so we can rule out A.

B: If y>0, the function would start above y-level 0 and go up infinitely, however this graph does not display that so we can rule out B as well.

C: C is the domain of the graph, which is how far left and right the function exists.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Solving for your equation:}[/tex]

[tex]\mathbf{|4x^2| - 3x - (9 - |-3x|)}[/tex]

[tex]\mathbf{= |(4)(9)|-(2)(-3)-(9-|(-3)(-3)|)}[/tex]

[tex]\mathsf{= |36| - (2)(-3)- (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{=36 - (2)(-3) - (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{= 36 -(-6) - (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{= 42 - (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{= 42 - (9 - |9|)}[/tex]

[tex]\mathbf{= 42 - (9 - 9)}[/tex]

[tex]\mathbf{= 42 - (0)}[/tex]

[tex]\mathbf{= 42 - 0}[/tex]

[tex]\mathbf{= 42}[/tex]

[tex]\huge\textbf{Notice that your equation kept getting}\\\huge\textbf{getting smaller and smaller?}\\\\\\\huge\textbf{That's because we kept solving as we got}\\\huge\textbf{closer to your result and we got there}\\\huge\textbf{sooner than we thought :)}[/tex]

[tex]\huge\textsf{ANYWAY!}[/tex]

[tex]\huge\textsf{Therefore, the answer is: \boxed{\mathsf{Option\ D. 42}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Perpendicular lines are lines that intersect and form right angles

A line is defined as the shortest distance between two points. Its equation is written in slope-intercept form as y = mx + b

Perpendicular lines on the other hand are lines that meet at a point to form a right angle. Hence we can conclude that perpendicular lines are lines that intersect and form right angles

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Step-by-step explanation:

The expression that best represents the volume is (b) [tex]V = \pi (13.5)^2 (4)[/tex]

The given parameters are:

Diameter, d = 27

Height, h = 4

Start by calculating the radius using:

r = d/2

This gives

r = 27/2

r = 13.5

The volume is then calculated as:

[tex]V = \pi r^2 h[/tex]

This gives

[tex]V = \pi (13.5)^2 (4)[/tex]

Hence, the expression that best represents the volume is (b) [tex]V = \pi (13.5)^2 (4)[/tex]

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Answer:

D

Step-by-step explanation:

Area of Part of a Circle = (θ/360)[tex]\pi r^{2}[/tex]

We first find the area of CAB first.

Radius of CAB = AB = 6cm

θ  = 112

Area of CAB = [tex]\frac{112}{360} \pi (6)^{2} \\=\frac{56}{5} \pi cm^{2}[/tex]

Next we will find the area of FAE.

Radius of FAE = AE = 4cm

Area of FAE = [tex]\frac{112}{360} \pi (4)^{2} \\=\frac{224}{45} \pi cm^{2}[/tex]

Lastly,

Area of Shaded Region = Area of CAB - Area of FAE

= [tex]\frac{56}{5} \pi -\frac{224}{45}\pi \\=\frac{56}{9} \pi cm^{2}[/tex]

Therefore the answer is D.

Answer:

1. can't answer, can only approximate

2. when f(x) = 2, x = -1

Step-by-step explanation:

We can't evaluate f(2)  because we don't have f(x), if we did, we would plug in 2 for x.

On the other hand, solve f(x) = 2 asks for what x is equal to when f(x) = 2, f(x) is just the value on the y axis in relationship with x (in short terms, the value on the y axis).

So looking at the graph, we cam see that when x = -1, f(x) = 2.

Answer:

<CBA

Step-by-step explanation:

<CBA = 90 degrees (given)

<ADB = 90 degrees (given)

Hence They are congruent, so choose A

From the diagram below, we can tell that < ADB is congruent to <CBA.

Here, we have,

given that,

from, the given diagram, we get,

both the triangles ABD and BCA are right angle triangle.

here, we have,

angle D = 90

and angle B = 90

so, we have,

<CBA = 90 degrees (given)

<ADB = 90 degrees (given)

Hence They are congruent, so choose A.

From the diagram below, we can tell that < ADB is congruent to <CBA.

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The statement (A) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial function:

[tex]\rm f(x) = x^{3}+2x^{2}-5x-6[/tex]

The function is a cubic function and the graph of the cubic function will be a curve.

As we can see in the graph, f(x) grows larger as x approaches negative infinity. f(x) also becomes closer to infinity as x does.

Thus, the statement (A) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity is correct.

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By using the concept of circumference and all known inputs, we conclude that an arc length of 23 and a radius of 15 is equal to 23/15 radians.

According to the statement, arc length (s) and radius (r) are given:

s = 23, r = 15

The central angle (θ), in radians, is determine by dividing the former by the latter:

θ = s/r

θ = 23/15 rad

By using the concept of circumference and all known inputs, we conclude that an arc length of 23 and a radius of 15 is equal to 23/15 radians.

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Answer:

  y = 1/4x +2

Step-by-step explanation:

The slope-intercept form of the equation for a line can be found by solving the given equation for y. It can be written directly from the slope and the y-intercept.

It is helpful to simplify the equation first, then isolate the y-variable by eliminating non-y terms from that side of the equation.

  y -4 = (1/4)(x -8) . . . . . . . given

  y -4 = (1/4)x -2 . . . . . . . . eliminate parentheses

  y = 1/4x +2 . . . . . . . . . . add 4. This is the desired form

Alternatively, you can use the given information to write the slope-intercept equation directly. The slope in the point-slope form is the multiplier outside parentheses. In y-4 = 1/4(x -8), the slope is 1/4.

The y-intercept is the point where the line crosses the y-axis. Its coordinates always have an x-coordinate of 0. That is, the given point (0, 2) tells you the y-intercept is 2.

Using the slope and intercept in the slope-intercept form, you get the equation you're looking for:

  y = mx +b . . . . . line with slope m and y-intercept b

  y = 1/4x +2 . . . . . line with slope 1/4 and y-intercept 2

Answer:

Step-by-step explanation:

n fluid dynamics, a vortex is a region in a fluid in which the flow revolves around an axis line, which may be straight or curved. Vortices form in stirred fluids, and may be observed in smoke rings, whirlpools in the wake of a boat, and the winds surrounding a tropical cyclone, tornado or dust devil. Vortices are a major component of turbulent flow. The distribution of velocity, vorticity, as well as the concept of circulation are used to characterise vortices. Hope that gave you a clue and hope you learned something new.

The minimum or maximum value of a function is found at the vertex.

The vertex represents either the minimum or maximum point on the graph of the function.

If the quadratic function opens upward, the vertex is the minimum point, and if it opens downward, the vertex is the maximum point.

The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a, b, and c are the coefficients of the quadratic function in the form ax² + bx + c.

Once you find the x-coordinate, you can substitute it back into the function to obtain the corresponding y-coordinate, which represents the minimum or maximum value of the function at the vertex.

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Drawing a scatter plot for the given values on a graphing calculator, we have;

The values are;

Day; Running time

1; 8.2

2; 8.1

3; 7.5

4; 7.8

5; 7.4

6; 7.2

7; 7.1

Entering the above values in a graphing calculator, we have;

Therefore;

0 = -8.36 + y-intercept

The equation found using the statistics function for scatter plot on a calculator is therefore;

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The smallest possible area of the new rectangle is 52 square units.

In the question, we are given that a rectangle has side lengths of integral value.

We assume the lengths to be x and y units respectively, such that x and y are integers.

In the new arrangement, one pair is increased by 30%, and the other pair is decreased by 20%, such that the new sides are also integers.

We assume a 30% increase in x.

New side = x + 30% of x = x + 30/100 of x = x + 3x/10 = 13x/10.

For this to be an integer, x needs to be a multiple of 10.

Since we are considering the smallest area, we will consider the smallest multiple of 10, that is, 10 itself.

Hence, side 1 = 13 units.

We assume a 20% decrease in y.

New side = y - 20% of y = y - 20/100 of y = y - y/5 = 4x/5.

For this to be an integer, y needs to be a multiple of 5.

Since we are considering the smallest area, we will consider the smallest multiple of 5, that is, 5 itself.

Hence, side 2 = 4 units.

Now, the area of this rectangle is the product of its sides = 13*4 sq. units = 52 sq. units.

Therefore, the smallest possible area of the new rectangle is 52 square units.

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Answer:

See below

Step-by-step explanation:

Wrong formula  ...and all of your answers are messed up too....

  F = 9/5 C + 32

re-arrange to:  

  C = 5/9 ( F-32)

    C = 5/9 (59-32) = 15 ° C

Answer:

Jun Wei donated a higher percentage than Lixin

calculate it by multiplying monthly salary by 12 then divide the total donated to total earned for both people... you Will Find 6.25 % for Jun Wei but for Lixin You Will get 5.51%

i hope this helps u :)

thank u

The ordered pair that can be removed so that the resulting graph represents a function is (1, 3) or (1, -2)

The ordered pairs are given as:

(-5, -3), (-4, -4), (-2, 2), (1, 3), (1, -2), (2, 1), (5, -4)

For a set of ordered pairs to represent a function, each x value must point to exactly one y value

From the above ordered pairs, we have:

(1, 3) and (1, -2)

The x value 1 has y values 3 and -2

When one of these pairs is removed, the graph becomes a function

Hence, the ordered pair that can be removed so that the resulting graph represents a function is (1, 3) or (1, -2)

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In the image given, a pair of alternate exterior angles is: a° and d°.

The exterior angles that lie opposite sides along the transversal that intersects two parallel lines are said to be alternate exterior angles, which are congruent.

In the image given below, angles a and d lie alternate to each other along the transversal and are also exterior angles.

Therefore, a pair of alternate exterior angles is: a° and d°.

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The confidence interval for the mean noise at locations is (127.09,148.51).

Given noise levels at 5 airports=152,154,139,124,120

We have to find the confidence interval for the mean noise and sample mean of the data. We know that mean is the sum divided by the number of items taken.

Mean = sum of X values/n

=137.8 (calculated in figure)

s=[tex]\sqrt{(x-x bar)^{2} /n-1}[/tex]

=[tex]\sqrt{972.8/4}[/tex]

=[tex]\sqrt{243.2}[/tex]

=15.59

t value at 80% confidence level with degree of freedom 4  (5-1) is 1.533.

standard error=t value*s/[tex]\sqrt{n}[/tex]

=1.533*15.59/[tex]\sqrt{5}[/tex]

=10.71

Upper level= Mean + standard error

=137.8+10.71

=148.51

Lower level=Mean - standard error

=137.8-10.71

=127.09

Hence the confidence interval for the true mean noise is (127.09,148.51) and sample mean is 137.8.

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Equilateral Triangle: All 3 sides of a Triangle are equal in length

Isosceles Triangle: Two sides of Triangle are equal in length

Scalene: Triangle has different side lengths

So, for example, when you see Q1, you estimate the length of each side and think it is Scalene Triangle because all of its sides are of different length. (You can also use a ruler to find out the side lengths if it can be used for scale)

Q2, you can say that the side lengths AC and BC look similar, so it is an Isosceles Triangle

Q6, when you look at the side lengths, you can tell it is an equilateral Triangle because all the sides are equal in length

You can try the rest and check for yourself. If you still have any doubts, you could ask me. I hope this information helps you.

Answer:

1

Step-by-step explanation:

Just  '1'  

Answer:

8125 x 10^-3

= 8.125

8125 g

= 8.125 kg

Step-by-step explanation:

First, note that g is the same as grams and kg is the same as kilograms. Thus, when you are asking to convert 8125 g to kg, you are asking to convert 8125 grams to kilograms.

A gram is smaller than a kilogram. Simply put, g is smaller than kg. In fact, a gram is "10 to the power of -3" smaller than a kilogram.

Since a gram is 10^-3 smaller than a kilogram, it means that the conversion factor for g to kg is 10^-3. Therefore, you can multiply 8125 g by 10^-3 to get 8125 g converted to kg.

Here is the answer with the math showing you how to convert 8125 g to kg by multiplying 8125 by the conversion factor of 10^-3.

Answer:

8.125kg and 8125g

Step-by-step explanation:

1kg=1000g

Answer: 4x-1

Step-by-step explanation:

[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=3x-2+x+1\\\\=\boxed{4x-1}[/tex]

The total average credit card debt for  a U.S household will be $9292.

We are given that an expression which gives an approximate value of the total average credit card debt in a U.S. household (in dollars )t years after 1995

We have to find the total average credit card debt will be in the year 2004.

Number of years =2004-1995=9

t=9 years

Substitute the value of t in the given expression

Then , total average credit card debt in a U.S household will be in the year

Debt(t)=418t+5530

Debt(9)=418 * 9+5530= $9292  in 2004

Hence, in the year 2004, the total average credit card debt for  a U.S household will be $9292.

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[tex]2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10[/tex]

[tex]\Huge\boxed{x\leq10}[/tex]

To solve for [tex]x[/tex], you need to isolate it on one side of the equation.

Start by adding [tex]15[/tex] to both sides.

[tex]\begin{aligned}2x-15+15&\leq5+15\\2x&\leq20\end{aligned}[/tex]

Now, divide both sides by [tex]2[/tex] for the final answer.

[tex]\begin{aligned}\frac{2x}{2}&\leq\frac{20}{2}\\x&\leq10\end{aligned}[/tex]

Answ

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf \$ \ 38.52}[/tex]

Step-by-step explanation:

Marked price = $36.00

Sales tax = 7%

= 7% of marked price

= 7% of $36 [Key: "of" means "to multiply"]

= 7/100 * 36

= 0.07 * 36

= $2.52

= Marked price + sales tax

= $36 + $2.52

= $38.52

[tex]\rule[225]{225}{2}[/tex]

The total cost of the jacket was the amount of  $38.52. The correct answer is option (d).

To find the total cost of the jacket after adding a 7% sales tax, we need to calculate the tax amount and add it to the original price.

Calculate the tax amount:

Tax amount = 7% of $36.00

Tax amount = 0.07 × $36.00

Tax amount = $2.52

Add the tax amount to the original price:

Total cost = $36.00 + $2.52

Total cost = $38.52

Thus, the total cost of the jacket was the amount of  $38.52.

Hence, the correct answer is option (d).

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Step-by-step explanation:

[tex] = \sqrt{48} [/tex]

[tex] = \sqrt{16 \times 3} [/tex]

[tex] = \sqrt{ {4}^{2} \times 3 } [/tex]

[tex] = \sqrt{ {4}^{2} } \times \sqrt{3} [/tex]

[tex] = 4 \times \sqrt{3} [/tex]

[tex] = 4 \sqrt{3} [/tex]

The answer is B.

Your question is incomplete. Please read below to find the complete questin.

B. Sampling error is the inevitable result of running statistical inference on a random sample rather than on an entire population.

A sampling mistake is a statistical blunder that occurs when an analyst does now not pick out a sample that represents the entire population of records. As a result, the outcomes found in the pattern no longer constitute the outcomes that would be received from the entire population.

Sampling error takes place when a sample is chosen from the incorrect populace statistics. Non-reaction errors occur when a user reaction is not received from the surveys. it can happen because of the incapacity to contact capability respondents or their refusal to respond.

The maximum generally used measure of sampling errors is referred to as the same old errors (SE). the standard error is a measure of the spread of estimates across the "true fee". In exercise, only one estimate is available, so the same old blunders can not be calculated at once.

What is the inevitable result of running statistical inference on a random sample rather than on an entire population?

A. Standard deviation

B. Sampling error

C. Sampling distribution

D. Stratified sampling

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