please help?!??!?????​

Work Shown:

A = P*(1+r*t)

A = 1205*(1+0.025*4)

A = 1325.50

The amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.

The initial amout that Jo paid for the phone is calculated as follows;

amount per month = ($49) / (1 + ¹/₃)

amount per month = ($49) / (1.333)

amount per month = $36.76

For 1 year (12 months), = $36.76 x 12 = $441.12

$49 x 12 = $588

= $588 -  $441.12

= $146.88

Thus, the amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.

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Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Answer: 49

Step-by-step explanation:

The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is on line segment RT.  

ST = 2x – 10,

RS = 2x - 5, and

RT = 3x + 1,

RT = RS + ST

3x + 1 = 2x - 5 + 2x - 10

The above equation is representing a linear equation in one variable.

After simplifying:

3x + 1 = 4x - 15

4x - 3x = 15 + 1

x = 16

RT = 3x + 1

Plug x = -14

RT = 3(16) + 1

RT = 48 + 1

RT = 49

The numerical value of RT = 49

Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

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The two main purposes of all businesses are earning revenue and maximizing profits, the correct option is B and E.

We are given that;

The four options

Now,

Earning revenue means generating income from selling goods or services to customers. Revenue is the lifeblood of a business, as it covers the costs of production, operation, and growth. Without revenue, a business cannot survive or fulfill its other purposes.

Maximizing profits means increasing the difference between revenue and costs. Profits are the reward for creating value for customers and stakeholders. Profits can be reinvested in the business to improve quality, efficiency, innovation, and competitiveness. Profits can also be distributed to shareholders, employees, or society as dividends, wages, or donations.

Therefore, by unitary method the answer will be earning revenue and maximizing profits.

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Answer:

$82.50

Step-by-step explanation:

Set up an equation to find the original price

(0.1)(x) = 8.25

x = 82.5

Answer:

The answer will be C. (82.50)

Step-by-step explanation:

took the test on edg2020

Answer:

answer = 3(a +b)

Step-by-step explanation:

\( log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)\)

The total number of fish in the lake would be = 60 fishes

The total of a data set is the addition of the various components that makes up a data set which gives a particular value.

On the first day the number of fish that was marked by the fisher man = 50 fishes.

On the second day the total amount of fishes that was caught = 80 fishes

The number of fishes that where among the 80 fishes that are marked= 20

Therefore the total amount of fishes in the lake = 80 - 20

= 60 fishes.

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Answer:

Cant see picture

Step-by-step explanation:

The domain of the function is 0 <= w <= 11/12 and the range of the function is 4 <= L(w) <= 15

The function is given as:

L(w) = 12w + 4

The smallest value of w is 0, and the smallest value of L(w) is 4 i.e. when w = 0

The maximum value of L(w) is 15.

So, we have

12w + 4 = 15

Subtract 4 from the sides

12w = 11

Divide both sides by 12

w = 11/12

Hence, the domain of the function is 0 <= w <= 11/12 and the range of the function is 4 <= L(w) <= 15

The function is a linear function.

All linear functions are one-to-one functions

Hence, the function is a one-to-one function

Also, the function takes fractional values.

This is because the input of the function is weight

Weights are continuous values

Hence, the function is continuous

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Answer:

The smallest angle in this quadrilateral is 36°.

Step-by-step explanation:

\(x + 2x + 3x + 4x = 360\)

\(10x = 360\)

\(x = 36\)

So x, the smallest angle in this quadrilateral, is 36°.

Answer:

y+2=3(x-6)

or

y=3x-20

Step-by-step explanation:

formula for point slope form is

y-y1=m(x-x1)

plug it in

y+2=3(x-6)

because two is negative, you add the -2, not subtract it.

y+2=3x-18

we distributed the 3 to x-6

y=3x-20

we subtracted the two, to put it in slope-intercept form

9514 1404 393

Answer:

  126 in²

Step-by-step explanation:

The area can be found using the formula ...

  A = 1/2bh

where b is the base length of the triangle, and h is its height.

Using the numbers shown, we find the area to be ...

  A = 1/2(12 in)(21 in) = 126 in²

9514 1404 393

Answer:

  8.39

Step-by-step explanation:

In the right triangle, the hypotenuse and side opposite the angle are shown. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin

  x cm = (15 cm)×sin(34°)

  x ≈ 8.39

Answer:

a

 \(z-score = 1.57\)

b

 \(z-score_s = -3.36\)

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \(\= x_1 = 353\)

     The sample mean of swells is  \(\= x_2 = 184\)

    The standard deviation of  sag is  \(s_1 = 30\)

     The standard deviation of swells is  \(s_2 = 25\)

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     \(z-score_s = \frac{ k - \= x_2}{s_2}\)

=>   \(z-score_s = \frac{ 100- 184}{25}\)

=>     \(z-score_s = -3.36\)

Generally the z-score for the number of sags is mathematically represented as    

      \(z-score = \frac{ c - \= x_1}{s_1}\)

     \(z-score = \frac{ 400 - 353}{30}\)

     \(z-score = 1.57\)

The z-score for the number of sags for this transformer is 1.57.

And the z-score for the number of swells for this transformer is -3.36.

Given that,

The power quality of transformers built in Turkey was investigated in Electrical Engineering (Vol. 95, 2013).

For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353 and the mean number of swells per week was 184.

Assume the standard deviation of the sag distribution is 30 sags per week that the standard deviation of the swell distribution is 25 swells per week.

Suppose one of the transformers is randomly selected and found to have 400 sags and 100 swells in a week.

We have to find,

Find the z-score for the number of sags for this transformer.

Find the z-score for the number of swells for this transformer.

According to the question,

For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353,

the standard deviation of the sag distribution is 30 sags per week.

the transformers is randomly selected and found to have 400 sags.

Therefore,

The z-score for the number of sags for this transformer,

\(\rm Z_s_c_o_r_e = \dfrac{Randomely \ selected \ transformers \ of \ sags- Mean \ number \ of \ sags }{Standard \ deviation \ of \ sags}\\\\ Z_s_c_o_r_e= \dfrac{400-353}{30}\\\\ Z_s_c_o_r_e= \dfrac{47}{30}\\\\ Z_s_c_o_r_e= 1.57\)

Sample of 103 transformers built for heavy industry, the mean number of sags per week was 184,

the standard deviation of the sag distribution is 25 sags per week.

the transformers is randomly selected and found to have 100 sags

Therefore,

The z-score for the number of sags for this transformer,

\(\rm Z_s_c_o_r_e = \dfrac{Randomely \ selected \ transformers \ of \ swells - Mean \ number \ of \ swells }{Standard \ deviation \ of \ sweels}\\\\ Z_s_c_o_r_e= \dfrac{100-184}{25}\\\\ Z_s_c_o_r_e= \dfrac{-84}{25}\\\\ Z_s_c_o_r_e= -3.36\)

Hence, The z-score for the number of sags for this transformer is 1.57 and the z-score for the number of swells for this transformer is -3.36.

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Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Step 1: Set up the expression.

Step 2: Multiply 2/9 by the reciprocal of 1/2.

Therefore, two ninths divided by one half equals 4/9.

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

26

Step-by-step explanation:

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

a device that utilize solar energy for cooking for purpose is called solar cooker.

It is pollution free.

It helps to cook food.

The food which is cooked in solar cooker is nutrition

Step-by-step explanation:

.

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

The 2nd equation

Answer:

A. c is less than or equal to -11/5

Step-by-step explanation:

hope this helps :)

The equivalent form of f(x) + g(x), if  f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is

4x² + 8x + 4, so option C is correct.

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.

Given:

f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²

Calculate the equivalent form as shown below,

f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²

Simplify the above equation,

f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)

f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3

f(x) + g(x) = 4x² + 8x + 4

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Answer:

11

Step-by-step explanation:

While I square, all the sides of square are the same side, right on the same length. So therefore, um, one side of the square must be equal to well 44 divided by four because they're all the same length. So therefore, one side of the square is just 44 divided by four, which is 11.