In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t.

Answer:

x = 8

Step-by-step explanation:

Perimeter :

The value of x is 8

5 = 4

10 x

5 . x = 10 . 4

5x = 40

x = 40 ÷ 5

x = 8

So, the result of x will be 8

What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me

Answer:

y = 6

Step-by-step explanation:

4y + 2x = 8 → (1)

5y + 2x = 14 → (2)

subtracting (1) from (2) term by term will eliminate x

y + 0 = 6

y = 6

The weight of the 8th girl in the class is 43 kg

The given parameters are:

Mean weight = 35 kg

Weight of 7 girls = 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg

Let the weight of the 8th girl be x.

Mean is calculated using:

Mean = Sum/Count

So, we have:

(35+ 28+43+25+33+51+22 + x)/8 = 35

Evaluate the sum

(237 + x)/8 = 35

Multiply both sides by 8

237 + x = 280

Subtract 237 from both sides

x = 43

Hence, the weight of the 8th girl is 43 kg

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[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12\\ h=9 \end{cases}\implies V=\pi (12)^2(9)\implies V=1296\pi ~m^3[/tex]

Answer: Absolute value function

The type of parent function is f(x)= |x| is Absolute valued function

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Given function:

f(x)= |x|

As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.

The above property perfectly resemble the absolute valued function.

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Answer:

  HA congruence postulate

Step-by-step explanation:

In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.

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WX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.

So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...

WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.

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Additional comment

The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.

Answer:

See below

Step-by-step explanation:

Given there are 56 M&M's:

Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.

Answer:

[tex]y = - 2 |x - 2| + 4[/tex]

Step-by-step explanation:

as the function moved to the right 2 steps, and up 4 steps

Answer:

x = [tex]\frac{2}{3}[/tex] , x = 1

Step-by-step explanation:

(x - [tex]\frac{5}{6}[/tex] )² = [tex]\frac{1}{36}[/tex] ( take square root of both sides )

x - [tex]\frac{5}{6}[/tex] = ± [tex]\sqrt{\frac{1}{36} }[/tex] = ± [tex]\frac{1}{6}[/tex] ( add [tex]\frac{5}{6}[/tex] to both sides )

x = [tex]\frac{5}{6}[/tex] ± [tex]\frac{1}{6}[/tex] , then

x = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

x = [tex]\frac{5}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{6}{6}[/tex] = 1

Using the together rate, it is found that it will take 1.71 hours for Bella and Jordan to rake the leaves.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

[tex]x = \frac{12}{7}[/tex]

x = 1.71.

It will take 1.71 hours for Bella and Jordan to rake the leaves.

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Answer:

x = 9

Step-by-step explanation:

When 1 is divided by 9, we understand it is a non-terminating decimal number because the denominator consists of other number other than 2 and 5.

Now, let's get into how to solve for x :

Divide both sides by .111... :

1/.111... x .111... = 1/.111 x 1/x

1 = 1/(x)(.111....)

Multiply both sides by x :

1(x) = (x)/(x)(.111...)

x = 1/.111...

x = 9 (nearest whole number)

Answer:

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

Therefore, x = 9

Step-by-step explanation:

To convert 0.11111... to a fraction:

Equation 1

Let:   y = 0.11111...

Equation 2

Multiply both sides by 10:

⇒ y · 10 = 0.11111... · 10

⇒ 10y = 1.11111...

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

⇒ 10y - y = 1.1111... - 0.11111...

⇒ 9y = 1

Divide both sides by 9

[tex]\implies \sf y=\dfrac{1}{9}[/tex]

Therefore,

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

So if:

[tex]\sf 0.\dot{1}=\dfrac{1}{x}[/tex]

Then x = 9

k(2)=

Option C is true

k(3)

D is true

k(4)

k(5)

k(6)

E is not true

k(1)

So

B is false

Similarly

-1 is not in domain even though

A is false

Answer:

[tex]k(2) = 2[/tex]

[tex]k(3) = 0[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}k(1)=4\\k(n)=k(n-1)-2\end{cases}[/tex]

The function [tex]k(n)[/tex] tells us that each term is 2 less than the preceding term.

Therefore:

[tex]\implies k(1)=4[/tex]

[tex]\implies k(2)=k(1)-2=4-2=2[/tex]

[tex]\implies k(3)=k(2)-2=2-2=0[/tex]

[tex]\implies k(4)=k(3)-2=0-2=-2[/tex]

[tex]\implies k(5)=k(4)-2=-2-2=-4[/tex]

[tex]\implies k(6)=k(5)-2=-4-2=-6[/tex]

Rearranging the formula to make the preceding term the subject:

[tex]\begin{aligned} k(n) & = k(n-1) - 2\\\implies k(n)+2 & = k(n-1)\\k(n-1) & =k(n)+2\end{aligned}[/tex]

Therefore:

[tex]\implies k(1)=4[/tex]

[tex]\implies k(0)=k(1)+2=4+2=6[/tex]

[tex]\implies k(-1)=k(0)+2=6+2=8[/tex]

Conclusion

Therefore, the correct answers from the answer options are:

[tex]k(2) = 2[/tex]   and   [tex]k(3) = 0[/tex]

Answer:

[tex]f(x) = {x}^{2} + 4x[/tex]

Step-by-step explanation:

The graph is concave up, this means that the leading term x^2 is positive.

[tex]f(x) = {x}^{2} + 4x[/tex]

[tex]y = {x}^{2} + 4x[/tex]

[tex] {x}^{2} + 4x = 0[/tex]

[tex]x(x + 4) = 0[/tex]

[tex]x = 0 \: \: \: or \: \: \: \: x = - 4[/tex]

(0 , 0) and (-4 , 0)

For the y intercept, let x = 0

[tex]y = {0}^{2} + 4(0) = 0[/tex]

(0, 0)

[tex]t.p = \frac{x1 + x2}{2} [/tex]

[tex]t.p = \frac{0 + ( - 4)}{2} = - 2[/tex]

[tex]f( - 2) = {( - 2)}^{2} + 4( - 2) = - 4[/tex]

(-2 , -4)

If you connect all these coordinates you will get the parabola shown in the picture.

Answer:

(1, 0), (2, 0), and (-3, 0)

Step-by-step explanation:

The x intercepts  are where it crosses the x axis.  It crosses at (-3,0), (1,0) and (2,0)

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

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Answer:

12:11

Step-by-step explanation

Answer:

I think it would be 12:11

Step-by-step explanation:

This is because you can't down size the 11

Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

Answer: rectangle

Step-by-step explanation:

The options imply the figure is a parallelogram. Furthermore, we can tell that not all the sides are congruent, so we can rule out the possibility that it is a rhombus or a square.

To determine if it is a rectangle, we can use the slope formula to determine if there is a pair of perpendicular sides. If this is the case, then this will be a parallelogram with a right angle, making it a rectangle.

[tex]m_{\overline{AB}}=\frac{1-0}{-4-(-3)}=-1\\m_{\overline{BC}}=\frac{4-1}{-1-(-4)}=1\\\therefore \overline{AB} \perp \overline{BC}[/tex]

So, the most specific classification is a rectangle

Answer:

$122.88

Step-by-step explanation:

the phone decreases by 20% each year , that is

(100 - 20)% = 80% = [tex]\frac{80}{100}[/tex] = 0.8

the phone reduces by a factor of 0.8 each year , then after 4 years

value = $300 × [tex](0.8)^{4}[/tex] = $122.88

uhm i dont know sorry but i can't help you

Comparing the two data sets shown below

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

Both the mean and the median can be used to describe where the “center” of a dataset is located.

So, the mean of data in 2022 is more than mean of data in 2018.

It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.

As the variance of 2022 more than in variance in 2018.

A high variance indicates that the data points are very spread out from the mean, and from one another.

As the standard deviation of 2022 more than in standard deviation in 2018.

The high standard deviation indicates data are more spread out.

The bigger the range, the more spread out the data.

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The each type of angle are discussed below

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

If the hours hand point to the hour 1 and minute hand at 12 then

angle will be acute.

If the hours hand point to the hour 2 and minute hand at 12  then

angle will be acute.

If the hours hand point to the hour 3 and minute hand at 12  then

angle will be right angle .

If the hours hand point to the hour 4 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 5 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 6 and minute hand at 12  then

angle will be straight angle .

If the hours hand point to the hour 7 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 8 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 9 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 10 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 11 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 12 and minute hand at 12  then

angle will be Complete angle.

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Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

Answer: 20x  + 20

Step-by-step explanation:

    We will distribute the four into the expressions to expand, then we will simplify.

   Given:

4(2x + 3) + 4(3x + 2)

   Distribute:

8x + 12 + 12x + 8

   Combine like terms with addition:

20x + 20

                   20x  + 20