An insurance agent earns a base salary of $28,000, a commission of 2% of sales, and receives an additional fee of $9 for each sale of an investment policy. The agent had total sales of $75,000 and 6 investment policies this month. Find the commission and fees earned. (There should be 2 separate answers)

Answer

-10

Step-by-step explanation:

-8w-7=9

add 7 to both sides

-8w=16

divide by negative 8 on both sides

w=-2

w-8=-10

On simplifying,

-8w - 7 = 9

-8w = 16

w = -2

then,

= w - 8

= -2 - 8

= -10.

[tex](7 \times 10) \times (5 \times 108) \\ 70 \times 540 \\ = 37800 \: or \: 3.78 \times 10 {}^{4} [/tex]

Answer is 68.9 m/min.

Let's convert the units. To do this, we need to cancel the original units to get the units we want. We achieve this the following way :-

[tex]2.57 \frac{mi}{hr} \times \frac{1069.34 \: m}{1 \: mi} \times \frac{1 \: hr}{60 \: min} [/tex]

[tex] =>68.9 \: \frac{m}{min} [/tex]

Therefore, 2.57 mi/hr is the same as 68.9 m/min .

✍️ By Benjemin ☺️

Answer:

[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]

Answer:

y + 3 = 10/11(x + 3)

Step-by-step explanation:

Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Let (x1, y1) = (-3, -3)

(x2, y2) = (8, 7)

Substitute these values into the slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}[/tex]

Thus, slope (m) = 10/11.

Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (-3, -3)

m = 10/11

y - y1 = m(x - x1)

y - (-3) = 10/11[x - (-3)]

Simplify:

y + 3 = 10/11(x + 3) this is the point-slope form.

Answer: 0.8333

Step-by-step explanation:

Answer:

284 scratched cups

Step-by-step explanation:

it's in the picture

Answer:

(A) 5cm and 8cm

Step-by-step explanation:

Look to find out the triangle side you here to add and find outnth sum.

Answer:

no

0-9 is nine

coz zero have no value to subtaract 9 from zero

The measure of z in its simplest form is 3√11

We solve the triangle using pythagoras' theorem.

Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.

So, according to Pythagoras' theorem,

c² = a² + b²

Since we have three right angled triangles, in the smallest right angled triangle, we have

z² = y² + 3²  (1)

In the next larger right angled triangle, we have

x² = y² + 27² (2)

In the largest right angled triangle, we have

(3 + 27)² = z² + x²

30² = z² + x² (3)

Substituting (2) into (3), we have

30² = z² + x²

30² = z² + y² + 27²

30² - 27² = z² + y²

900 - 729 = z² + y²

171 = z² + y²

z² = 171 - y² (4)

Equating (1) and (4), we have

y² + 3² = 171 - y²

y² + 9 = 171 - y²

y² + y² = 171 + 9

2y² = 180

y² = 180/2

y² = 90

Substituting y² into (1), we have

z² = y² + 3²

z² = 90 + 9

z² = 99

z = √99

z = 3√11

So, the measure of z is 3√11

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Answer: first answer 3, 2nd answer 10.

Step-by-step explanation:

I just did the question on acellus

Answer:

x = 4.4

Step-by-step explanation:

The ratios of corresponding sides are in proportion , that is

[tex]\frac{x}{11}[/tex] = [tex]\frac{4}{10}[/tex] ( cross- multiply )

10x = 44 ( divide both sides by 10 )

x = 4.4

Answer:

[tex] - 3 < z < 6[/tex]

Step-by-step explanation:

[tex]z + 6 > 3 \\ 2z < 12[/tex]

1.

[tex]z + 6 > 3 \\ z + 6 - 6 > 3 - 6 \\ z > - 3[/tex]

2.

[tex]2z < 12 \\ \frac{2z}{2} < \frac{12}{2} \\ z < 6[/tex]

answer

[tex] - 3 < z < 6[/tex]

Answer:

$38 for 2 sweaters

Step-by-step explanation:

$38 for 2 sweaters  ---> $38/2 = $19

$72 for 3 sweaters

$96 for 4 sweaters

$120 for 5 sweaters

Answer:

okay 1. nice name what your middle?

2. why would someone with a name like that have a hamster

3. a pencil is nothing compared to a vehicle like a tesla

4. AK 47 Mac 11 Glocks N 9’s

it will take exactly 217.2529865 pencils to replace the alternator on a Tesla

Answer:

0.45 miles per minute

Step-by-step explanation:

Answer:

Radius = 6

Step-by-step explanation:

The volume of a cone is V= pi*r^2*h/3

In this case, h=18 in.

Volume= 216pi in^3

So all you need to do is plug in and solve.

216pi = pi*r^2 *6

36=r^2

r=6

Radius of cone is 6 in.

A cone is a shape created by connecting all the points of a circular base (which does not contain the apex) to a common point known as the apex or vertex using a series of line segments or lines.

Given that;

Volume of cone =  216π in³

Height = 18 in

Since we know that,

The volume of a cone is V= πr²h/3

Therefore plug the values,

⇒216π = πr²(18)/3

⇒    36 = r²

⇒       r = 6 in

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9514 1404 393

Answer:

   B.  3x+y=4

Step-by-step explanation:

The constant on the right is positive, so the signs of the coefficients match the signs of the respective intercepts. The graph shows both x- and y-intercepts are positive, so the equation will have positive coefficients everywhere. The appropriate choice is ...

  3x +y = 4

Answer:

x = 12

Step-by-step explanation:

Answer:

(− ∞ , 1 /3 )  ∪  ( 5 , ∞ )

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

I don't understand the point of this probem. It says that she has 35 envelopes best it doen't say how much can fit into each one. Maybe you ftogot some details pls reply in the comments.

Answer:

7

Step-by-step explanation:

32 because all you need it to count it you can use your fingers too

-25

7

weooooooooooooooooooooooooooooooooooooo9ooooooooooow

Answer:

16

Step-by-step explanation:

i use tally marks

Answer:

16 girls.

Step-by-step explanation:

There are two ways,

The Relationship between each ratio is multiplying by 4.

Or cross multiply;

12×4=48

48÷3=16

Hope you're having a splendiferous day or evening.

3.5 to 2.167

2.80

Step-by-step explanation:

Answer:

C = 25.13cm

C = π d = π · 8 ≈ 25.13274cm

Answer:

the answer is 4cm circumference