In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year

(ii) the amount he recieved in commision for the year

(iii) his TOTAL income for the year​

Answer:

no

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.

According to the question;

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

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Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

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Answer:

The treats will last 12 days.

Answer: 63%

Step-by-step explanation:

First step

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]

x = 37%

Second step - Survival rate

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

Answer:

18 lawns

Step-by-step explanation:

Lets take the number of lands that would be mow(ed) in 36 hours as x

Hence,

[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]

Answer:

do you have an image for that?

Step-by-step explanation:

Answer:

6 or 33percent

Step-by-step explanation:

because he don't have a numerator

because he is not belong to the group the three is fraction and the first one is a percent

 [tex]\huge\boxed{.6}[/tex]

______________________________

- A rational number is a terminating or repeating decimal.

- An irrational number is when you can't write that number as a fraction.

______________________________

If you have anymore questions, or need help with anything else, feel free to ask!

Answer:

0.0310686

Step-by-step explanation:

ANSWER 0.0310686

Step-by-step explanation:

Eh- :P

Answer:

[tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]

Step by step:

[tex]\sqrt{x-\frac{3}{7}[/tex] = [tex]\sqrt{\frac{49x-21}{7} }[/tex]

[tex]\sqrt{\frac{49x-21}{7} }[/tex] ÷ 12x+7=[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex]

[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex] ÷ 76.3x = [tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]

Hope this helps!

Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the total number of ways to select 4 people from 9 friends is

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]

Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].

Note: All options are incorrect.

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

------------------------

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

[tex]4x^2-9y^6[/tex]

It should be noted that both terms are perfect squares:

[tex](2x)^2=4x^2[/tex]

[tex](3y^3)^2=9y^6[/tex]

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

[tex](U^2-V^2)=(U+V)(U-V)[/tex]

Thus, the answer is

B. (U+V)(U-V)

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

Answer:

y=5x-3

Step-by-step explanation:

Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b

Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept

7=5(2)+b

Then you just solve for b

7=10+b

-10

-3=b

So the final equation is y=5x-3

The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

The standard equation of the line using the point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the following parameters

m =  5

(x0, y0) = (2, 7)

Substitute the given expressions into the formula as shown:

y - 7 = 5(x-2)

y - 7 = 5x - 10

y - 5x = -10 + 7

y - 5x = -3

Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

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Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

Answer:

At 53 mph, he traveled for 1.5 hours

At 58 mph, he traveled for 2 hours

Step-by-step explanation:

Mathematically;

distance = speed * time

let the time for the first part of the trip be x hours and the second part be y hours

Total hours is 3.5

So therefore;

x + y = 3.5 ••••••••(i)

Now let’s work with the rate

53 mph for x hours = 53 * x = 53x miles

58 mph for y hours = 58 * y = 58y miles

Adding both;

53x + 58y = 195.5 miles ••••••••(ii)

We have two equations to solve simultaneously

From i, x = 3.5 - y

insert into ii

53(3.5-y) + 58y = 195.5

185.5 - 53y + 58y = 195.5

5y = 195.5-185.5

5y = 10

y = 10/5

y = 2 hours

x = 3.5 - y

x = 3.5 - 2

x = 1.5 hours

Answer:

k=45

Step-by-step explanation:

the k on the right can be mirrored from the left side of the triangle, the other side of the triangle says that its 45 degrees so that means the answer is as well, but if you want to make sure that the answer is correct then take the 2k degrees then replace the k with 45 and multiple that which gives you 90. add the other 2 45s together which gives you another 90 and then add the two 90s which gives you 180.

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)

The number of books that can be fit on a shelf is 1 meter long and will be 40.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

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Answer:

the remainder is 5. 2,786 R 5

Answer:

The numbers are 8 and 5

Step-by-step explanation:

The square of 8 is 64 and the square of 5 is 25. 25 plus 64 equals 89.