Seth owns a Lawn Mower shop. He buys a Honda 4-stroke mower from the supplier for $1011.
The mark-up on the Mower is 70%. GST of 10% is then added. What is the final retail price of the mower?

Answer:

Yearly compounding: 7.75% $5,686.85

Quarterly compounding: 7.978% $5,857.78

Monthly compounding: 8.031% $5,898.27

Daily compounding: 8.057% $5,918.20

Step-by-step explanation:

multiply yearly by 14

Answer:

B. 60 square feet

Step-by-step explanation:

took a test and got it right

Answer:

A. 69 square feet

Step-by-step explanation:

add the area of the triangle on top to the

area of the rectangle below

y - w is the base of the triangle

12 - 6 = 6 is the base of the triangle

z - x = height of the triangle

8 - 5 = 3 = height of the triangle

6 times 3 divided by 2 = area of the triangle =

9

y times x is the area of the rectangle below

12 times 5 =

60 is the area of the rectangle below

add up both areas which =

69

[tex]\large\bold{{Question :}}[/tex]

A football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.

[tex]\large\bold\red{\underline{Solution:}}[/tex]

Here, let's assume no. of matches played be = x

Given,

[tex]\longmapsto{}[/tex]x = 60

Hence, the number of matches played during the whole year is [tex]\large\bold\red{\underline{60}}[/tex].

large of a sample size is required=165

The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation

Using the formula:

large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)

According to the given data

E= margin of error= 5%=0.05

96% confident that your estimate is within 5% of the true population proportion,

Therefore, level of significance

∝=1-0.96

=0.04.

Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05

Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)

=1681*0.0979

=164.5699

=165

Hence, large of a sample size is required=165

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Answer:

Step-by-step explanation:

Solve equation

-8n + 7 * (8 + 3n)= -16 + 4n

-8n + 56 + 21n = -16 + 4n

13n + 56 = -16 - 56

13n -4n = -16 - 56

9n = -72

n = -72 : 9

n = -8

Answer:

150 laptops because 70% of the total devices are laptop computers and desktop computers so the remaining 30% of the devices are tablet. 500×0.30= 150.

Answer:

£3.6

Step-by-step explanation:

24 = 100% ; x = 15%

Let's make it simple

[tex]\frac{x}{24 } = \frac{15}{100} ; x = 24.15/ 100 ; x=3.6[/tex]

The expected value of the profit is $-1 when the student council is hosting a drawing to raise money for scholarships

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event

The expected value of any discrete variable X is calculate as:

E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)

Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.

In this case the variable X is the dollars that can win, so:

X1=$2,000

X2=$300

x3=$20

X4=$0

Then the probabilities can be calculate as:

[tex]P(X_1)=\dfrac{1}{600}\\\\\\P(X_2}=\dfrac{3}{600}\\\\\\P(X_3)=\dfrac{15}{600}\\\\\\P(X_4)=\dfrac{581}{600}[/tex]

Replacing the variables and probabilities on the equation of expected value we get:

[tex]E(X)=(2000\times \dfrac{1}{600})+(300\times \dfrac{3}{600})+(20\times \dfrac{15}{600})+(0\times \dfrac{581}{600})[/tex]

E(X)=$4

Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:

Expected Profit = Expected Earnings - Cost = $4  - $5 = $-1

Finally, the expected value of the profit is $-1

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Step-by-step explanation:

A....

Solution ,

[tex] = \frac{h - 3}{3} = 3h \\ [/tex]

[tex] = h - 3 = 9h[/tex]

[tex] = h - 3 - 9h = 0[/tex]

[tex] = h - 9h = 3[/tex]

[tex] = - 8h = 3[/tex]

Change the sign of both side

[tex] = 8h = - 3[/tex]

[tex] = h = - \frac{3}{8 } \\ [/tex]

B....

Solution,

[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]

Multiply the both side by the least common multiple to eliminate the fraction...

[tex] = 5t = 2t + 2[/tex]

[tex] = 5t - 2t = 2[/tex]

[tex] = 3t = 2[/tex]

[tex] = t = \frac{2}{3} \\ [/tex]

Answer:

3 3/4 yards

Step-by-step explanation:

The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).

To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.

Hope this helps!

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.

The process of making a triangle is known as the construction of the triangle.

Wendell makes a triangular garden using pieces D, E, and F.

Where D, E, and F may be a side of the triangle or angle of the triangle.

To make a triangle we need at least one side of the triangle.

If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.

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Answer:

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F. 

Step-by-step explanation:

Answer:

58 campers,

Step-by-step explanation:

you do 200 - 25 then 175 divided by 3

Answer:

  122

Step-by-step explanation:

To solve for x, undo the operations done to it.

__

  5 = ∛(x +3) . . . . . given

  125 = x +3 . . . . . cube both sides of the equation

  122 = x . . . . . . . . subtract 3

Answer:

6

Step-by-step explanation:

The rotational symmetry for a hexagon is 6 as it is a regular polygon.

Answer:

Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.

Step-by-step explanation:

Let's have a look at the image they've provided. (The identical picture is shown below. )

[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]

Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.

[tex]2 *4= 8\\5*4 = 20[/tex]

This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)

Hope this helps! :D

Sample :

https://brainly.com/question/6994919

apples= 200

bad apples= 15%

how many apples are bad.

[tex] 200 \times \frac{15}{100} [/tex]

[tex] = 30[/tex]

therefore, there are 30 bad apples.

Step-by-step explanation:

Sn=n(2a+(n-1)d)

2

S20=20(2x3+(20-1)x-5)

2

S20=10(6+19x-5)

S20= 10(6-95)

S20=10x-89

S20=-890

Hope this helps you

Have a nice day

Answer:

  23.028 meters

Step-by-step explanation:

We presume your quadratic equation is intended to be ...

  h(m) = -0.09m² +2m +1.67

where h(m) is the height in meters, and m is the horizontal distance in meters. You want to find the positive value of m when h = 0.

__

The quadratic formula tells you the solution to ...

  ax² +bx +c = 0

In your equation, a = -0.09, b = 2, c = 1.67, and the variable is m. The solutions given by the formula are ...

  [tex]m=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-2\pm\sqrt{2^2-4(-0.09)(1.67)}}{2(-0.09)}\\\\=\dfrac{2\pm\sqrt{4+0.6012}}{0.18}\approx\{-0.806,23.028\}[/tex]

The shot landed about 23.028 meters from where it was thrown.

_____

Additional comment

The shot was launched at an angle of about 63.4° from the horizontal. Had a shallower angle been used with the same launch speed (about 16.5 m/s), the shot would have traveled farther. At about 45°, the distance might have been in excess of 29 meters.

Answer:

[tex]d = 24mm[/tex]

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

I've attached my work

- im yellow is what the name of the angle is

   - in green is what to do with it

- In blue is me checking my work by plugging x back in

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

The solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

X + 300 < 450

X <  450 - 300   (subtract 300 on both sides)

X <  150

X ∈ (-∞, 150)

Thus, the solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

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Answer:

Step-by-step explanation:

∛(1331)

∛11*11*11  = 11

The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Sketch a graph of the polynomial function given below.

[tex]\rm f(x) =x^3+4x^2+3x[/tex]

Use it to complete the following:

Then the factor of the polynomial will be

f(x) = x³ + 4x² + 3x

f(x) = x(x² + 4x + 3)

f(x) = x(x² + 3x + x + 3)

f(x) = (x)(x + 3)(x + 1)

The graph of the function is given below.

Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)

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Answer:

The sum of the measures of five exterior angles of a hexagon is 284. What’s the measure of the sixth angle?

Step-by-step explanation:

So

360° - 284 = 76°

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

Modulus of a function are positive value of a function. Given the modulus expression as shown

f(x) = |x – 2| – 4

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

The resulting graph of the function is as shown below;

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The graph of y = x^2 - 1 has a vertex at (0,-1) and open upwards and it is represented by the graph 1

The equation is given as:

y = x^2 - 1

Express as a vertex function

y = (x - 0)^2 - 1

The above means that the function has a vertex of (0,-1) and it opens upward

The graph that has a vertex at (0,-1) and open upwards is the graph 1

Hence, the graph of y = x^2 - 1 is (a)

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Answer:

∠ACB =  24.35°

Step-by-step explanation:

∠ACB basically means ∠C

tangent = opposite / adjacent

tanx = 5.62 / (3.54 + 3.86 + 5.02)

you are adding all these to get the total of the base length

tanx = 5.62 / 12.42

x = arctan(5.62 / 12.42)

x = 24.34654°

Answer:

Step-by-step explanation:

x + x + 90 = 180

2x + 90 = 180

2x = 90

x = 45

Answer:

Fraction is 6 over 9 percentage is 0.54%

Hope This Helped