5) Karen deposits $4156 into an investment account that offers 3.45% interest per year, compounded daily. How much will her investment be worth after 6 years? ​

Answer:

133

Step-by-step explanation:

All 3 angles of a triangle must equal 180, so let's make these equal to that

[tex](x + 13) + (10x + 13) + (2x - 2) = 180[/tex]

Now let's combine the X's and the regular numbers together.

[tex]13x + 24 = 180[/tex]

Next, subtract 24 to get all the numbers on the right side.

[tex]13x = 156[/tex]

And lastly, we divide by 13 to get X alone

[tex]x = 12[/tex]

Since Q is (10x + 13), we plug that 12 in

[tex]10(12) + 13 = 133[/tex]

The answer is that it depends on the specific countable sets being considered and how they are being combined.

The union of countably infinite sets can be countable, as in the case of the union of all positive integers and all negative integers, which is also countable.

However, the union of countably infinite sets can also be uncountable. For example, consider the union of all the intervals [n, n+1) for n = 1, 2, 3, .... Each of these intervals is countable (since it contains all the real numbers between two integers, which is a countable set), but the union of these intervals is the uncountable set of all real numbers greater than or equal to 1. Therefore, the union of these countably infinite sets is uncountable.

So the answer is that it depends on the specific countable sets being considered and how they are being combined.

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Answer: Can you help me with the questions that I asked today.

Step-by-step explanation: Please.

Answer:

(To shawnrg

ask me the questions. I'm not promising I'll be able to help

Step-by-step explanation:

Answer:

162cm²

Step-by-step explanation:

Formula of square with diagonals=1/2*d²

=1/2*(18)²

=1/2*324cm²

we get,

=162cm²

The measure of the central angle subtended by minor arc ab, to the nearest degree is 67.

A minor arc is a part of a circle that is created by two points on the circumference of the circle.

To find the measure of the central angle subtended by the minor arc ab, we need to use the formula for the circumference of a circle, which is C = 2πr. The length of the minor arc ab is 12 feet, which is a part of the circumference of the circle. So, we can write an equation:

12 = C * (arc ab / C)

where C is the circumference of the circle and arc ab is the length of minor arc ab. We know that the radius of the circle is 10 feet, so we can find the circumference of the circle using the formula for circumference:

C = 2πr = 2π * 10 = 20π

Substituting the value of C in the equation above, we get:

12 = 20π * (arc ab / 20π)

Dividing both sides of the equation by 20π, we get:

12 / 20π = (arc ab / 20π)

We can now find the central angle subtended by the minor arc ab by using the formula:

Central angle = 2 * arctan(arc ab / 2r)

Substituting the values, we get:

Central angle = 2 * arctan(12 / (2 * 10)) = 2 * arctan(0.6)

Using a calculator, we can find that the value of arctan(0.6) is about 33.7 degrees. Hence, the central angle subtended by minor arc ab is:

Central angle = 2 * 33.7 = 67.4 degrees

Rounding off to the nearest degree, we get that the central angle subtended by minor arc ab is 67 degrees.

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Answer:

since p is irrational it is not expressible as a ratio of two integers and has an infinite and nonrecurring expansion when expressed as a decimal

Step-by-step explanation:

so a

The cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.

Two or more expressions with an Equal sign is called as Equation.

Plan A costs $30 plus an additional $0.03 for each minute of calls.

This can be expressed in equation as

y=30+0.03x

Plan B has no initial fee but costs $0.18 for each minute of calls.

y=0.17x

Now we have to find the cost when the two plans cost the same for a set number of minutes

30+0.03x=0.18x

30=0.18x-0.03x

30=0.15x

Divide both sides by 0.15

x=200

when the number of minutes of calls is 200, the two plans cost the same.

To find the cost when the two plans cost the same,

we can substitute x = 200 into either expression for Cost_A or Cost_B:

Cost_A = 30 + 0.03(200) = $36

Cost_B = 0.18(200) = $36

Therefore, the cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.

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First we need to select the subject to create the great paper outline template. Then follow the steps to create a paper.

Step 1: Choose the topic for the paper.

Step 2: Make a list of all the concepts you wish to discuss or incorporate.

Step 3: Separate similar concepts into smaller groupings.

Step 4: Put your concepts in order of importance: What ought the reader to discover first? What matters the most? Which conclusion will best suit your paper?

Step 5: Make good headers and subheadings for your documents.

Step 6: Format the outline in decimal, full-sentence, or alphanumeric form.

Step 7: State and review the paper by oneself first.

Follow all the steps to create the great paper outline template.

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The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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A. 63

The angle shown is 90 degrees, if you take 90 and subtract 27 you get 63.

1. The values of x in the equation are 1 and 10.

2. The values of x are 1 and -4.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

1. y = x²

y = 11x - 10

Combine both variables

x² - 11x + 10

x² - x - 10x + 10

x(x - 1) - 10(x - 1)

x - 10 and x - 1 = 0

x = 10 and 1

2. y = x².

y + 3x = 4

x² + 3x - 4

x² +4x - x - 4

x(x + 4) - 1(x + 4)

(x - 1)(x + 4)

x = 1 and -4

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The answers are a) OL = 46.2, CT = 92.4, ST = 41 and LT = 46.2

b) parallelogram ABCD is a rectangle.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

a) Given that, the flag of Scotland is a rectangle with white stripes as the diagonals. In rectangle SCOT, SO = 92.4, and CO = 41.

We need to find the measure of CT, OL, ST and LT,

We know that, the diagonals of a rectangle bisects each other and are congruent, and its opposite sides are equal,

Therefore,

OL = SO/2 = 92.4/2 = 46.2

CT = SO = 92.4

ST = CO = 41

LT = OL = 46.2

b) Given are vertices of parallelogram, A(-6, -2), B(-3, 3), C(2, 0), D(-1, -5), we need to verify if this is a rectangle or not,

Since, the diagonals of a rectangle are congruent, so, we will find AC and BD and see if they equal or not if equal then it is a rectangle.

Distance between two points is =

D = [tex]\sqrt{(x_{2}-x_1)^2+(y_2-y_1)^2 }[/tex]

AC = √(2+6)²+(2)² = √68

BD = √(-1+3)²+(-5-3)² = √68

∵ AC = BD, therefore, parallelogram ABCD is a rectangle.

Hence, the answers are a) OL = 46.2, CT = 92.4, ST = 41 and LT = 46.2

b) parallelogram ABCD is a rectangle.

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Answer:

(1-5n)(25m^2+5n+1

Step-by-step explanation:

The intersection point of the exponential and linear equation is at (3.748, 14.993).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

[tex]\rm y = 2 \left ( \dfrac{1}{5} \right )^{x - 5}[/tex]

The graph of the exponential equation is drawn.

y = 4x

The graph of the linear equation is also drawn.

From the graph, the intersection point of the exponential and linear equation is at (3.748, 14.993).

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The area and the perimeter of the various given figures above are listed below:

1.) area=70 cm²

perimeter = 29cm

2. area= 80mm²

perimeter = 36mm

3.) area=108m²

perimeter = 42m

4.) area=72cm²

perimeter = 34cm

For figure 1;

The area of the given figure = length×width.

Where;

Length = 7cm, width = 10

area = 7×10 = 70 cm²

The perimeter = summation of the whole sides.

= 10+7+5+4+3

= 29cm

For figure 2;

The area of the given figure = length×width.

Where;

Length = 8 mm; width = 10mm

area = 8×10 = 80mm²

The perimeter = 6+8+6+10+(8-6)+(10-6)

= 6+8+6+10+2+4

= 36mm

For figure 3;

The area of the given figure = length×width.

Where;

Length= 6+3 = 9m

width ,= 8+5 = 12m

area = 9×12 = 108m²

The perimeter: 2( 9+12) = 42m

For figure 4;

The area of the given figure = length×width.

Where;

Length= 8cm

width = 4+5 = 9cm

area = 8×9 = 72cm²

The perimeter = 6+4+5+8+(5+4)+(8-6)

= 6+4+5+8+9+2

= 34cm.

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Answer:

VII

Step-by-step explanation:

Answer:

2 boys must be vegetarian.

If all 34 girls were vegetarian, there would have to be 2 boys to add up to 36.

The number of birds they can take care on that day is zero.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 2.5b + 5r = 80.

Where, b represents the number of birds and r represents the number of reptiles.

On a given day. If the business cares for 16 reptiles, Therefore,

2.5b + 5(16) = 80.

2.5b + 80 = 80.

2.5b = 0.

So, They can not take care of any birds during the day.

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The population be 1,152 hours from now will be 17200

Exponential growth is a process of increasing a quantity over time. It occurs when the rate of change of a quantity with respect to time is proportional to the itself.

Given that, the number of bacteria in a colony doubles every 384 hours and there is currently a population of 2,150 bacteria,

The exponential growth law for this problem is :-

p(t) = 2150(2)ⁿ/₃₈₄

where t is in hours. Plug t = 1152 into the equation and evaluate.

p(1152) = 2150(2)¹¹⁵²/₃₈₄

= 2150(2)³

= 17200

Hence, the population be 1,152 hours from now will be 17200

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Answer: its 270.1087 degrees

Step-by-step explanation:

Answer:

After 3 hours.

Step-by-step explanation:

60 + 30x = y

40x = y

Beach Shack:

60, 90, 120, 150, 180, 210

Surf Shop:

40, 80, 120, 160, 200

The mean distance that the ball was thrown is approximately 38.92/12 = 3.24 feet.

To find the mean distance that the heavy ball was thrown, we need to calculate the sum of all the distances and then divide by the total number of throws:

(20+25+25+31+33+34+41+41+45+50+56+67)/12 = 467/12 ≈ 38.92

So, the mean distance that the ball was thrown is approximately 38.92/12 = 3.24 feet.

This means that on average, the ball was thrown a distance of 3.24 feet. However, it's important to note that the mean can be influenced by outliers, which in this case is the one throw of 6.7 feet.

So, while the mean is a useful measure of central tendency, it's important to also consider other measures such as the median and mode to get a complete picture of the data.

The mean is the sum of all the values in a dataset divided by the total number of values. It provides an estimate of the central location of the data and can be a useful summary statistic for describing a dataset. However, the mean can be influenced by outliers, which are values that are significantly different from the rest of the data.

In this case, the one throw of 6.7 feet is an outlier because it is much further than any other throw, and it will increase the mean value.

For this reason, it's important to consider other measures of central tendency such as the median and mode. The median is the middle value in a dataset, and it's not affected by outliers. The mode is the value that appears most frequently in a dataset and can provide useful information about the typical or most common value in the data.

By considering all three measures (mean, median, and mode), we can get a more complete picture of the data and make better inferences or conclusions about it.

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Answer:

-2

Step-by-step explanation:

?

Answer:

[tex]\dfrac{1}{12}[/tex]

See the explanation for more details

Step-by-step explanation:

Not sure if you want this as a word problem or not. So here goes anyway

3 friends decided to share 1/4 of a pizza equally. How much of the original pizza portion did each get

In equation form:
[tex]\dfrac{1}{4} \div 3[/tex]

When dividing, flip the divisor so it is the reciprocal of the original divisor

Then multiply both the dividend and the flipped value

[tex]\textrm{Reciprocal of 3 = }[/tex] [tex]\dfrac{1}{3}[/tex]

[tex]\dfrac{1}{4} \div 3 = \dfrac{1}{4} \times \dfrac{1}{3}[/tex]

[tex]= \dfrac{1 \times 1}{4 \times 3} \\\\= \dfrac{1}{12}[/tex]

This is the quotient

The equation that represents the situation is m= 1/8s-10

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

When

s= 0, m= -10

When

s= 80, m= 0

[tex]\frac{0-(0-10)}{80-0} = \frac{10}{80} = \frac{1}{8}[/tex]

m-0 = 1/8(s-80)

m= 1/8s-10. The equation

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Answer:

(108 - (48 x 2)) / 3 = p

Step-by-step explanation:

;)

Answer:

Reese will first need to use point slope Formula to plug in- 4   for x1,  8 for y1, and 3 for the m

Reese's final answer will be y = 3x + 20, which is written in slope intercept Form.

Step-by-step explanation:

The answers in terms of the choices and order in which the blanks appear are

H. Point Slope

E. -4

I. 8

B. 3

C. y=3x+20

G. Slope Intercept

The point slope form for a line
y - y1 = m(x - x1)

Pugging in x1 = -4, y1= 8 and m = 3 gives
y -8 = 3(x - (-4))

y - 8 = 3x + 12  Move -8 to right side
y = 3x +12 + 8
y = 3x + 20

Answer:

y= 6x+50

Step-by-step explanation:

y= 6x+50

The simplified form of the expression √50 - √2 is 4√2.

Given the expression in the question;

√50 - √2

To evaluate, first we simplify each term

√50 - √2

Factor out 25 from 50

√( 25(2) ) - √2

Now, rewrite 25 as 5²

√( 5²(2) ) - √2

Take the square root of 5² to pull it out of the radical

5√2 - √2

Now, subtract √2 from 5√2

4√2

Therefore, the simplified form is 4√2.

Option C) 4√2 is the correct answer.

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