Please help with this question

Let c represent amount of commission and s represent amount of sales.

We have been given that Lee sells electronics. He earns a 5% commission on each sale he makes.

A. We are asked to find the constant of proportionality.

First of all, we will write our given equation as direct proportion. We know that two proportional quantities are in form [tex]y=kx[/tex], where y is directly proportional to x and k represents constant of proportionality.

We can represent our given information in an equation as:

[tex]c=\frac{5}{100}s[/tex]

[tex]c=0.05s[/tex]

Therefore, constant of proportionality is [tex]0.05[/tex].

B. To find amount of electronics sold by Lee, we will substitute [tex]c=100[/tex] in our equation an solve for s as:

[tex]100=0.05s[/tex]

[tex]\frac{100}{0.05}=\frac{0.05s}{0.05}[/tex]

[tex]2000=s[/tex]

Therefore, Lee must sell $2000 of electronics to make $100 commission.

Answer:

Step-by-step explanation:

A new TV sells for $200. Every year, the TV loses 10% of the initial value.

Answer:

Area of rectangle APQB = Area of rectangle DPQC

Where:

PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD

Step-by-step explanation:

Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram

Given the parallelogram ABCD with a point of intersection of the two diagonals = O

We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;

The diagonals of a parallelogram bisect each other hence

OA = OC and OB = OD

Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)

∴ ΔAOB ≅ ΔCOD (SAS congruence rule)

Area of ΔAOB = Area of ΔCOD

In ΔAOP and ΔCOQ, we have;

∠PAO = ∠QCO (alternate interior angles of a parallel line)

OA = OC (as above)

∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)

∴ ΔAOP ≅ ΔQOC

Area of ΔAOP = Area of ΔQOC

From which we have by similarity;

ΔBOQ ≅ ΔPOD

Area of ΔBOQ = Area of  ΔPOD

Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of  ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ

∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.

Answer:

bruh its 16 pennies

Step-by-step explanation:

1 penny from same=4 pennies from tara

multiply both sides by 4

sam puts in 4 pennies and tara puts in 16

1x4=4

4x4=16

Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

Answer:

Inconsistent equations: No solutions

For instance, 3=3 is a identity equation. A  equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

mmm 30

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

2x + 5y

Let x=12 and y = 6

2(12) + 5(6)

24+30

54

Answer:

54

Step-by-step explanation:

2x + 5y  ( x = 12)  ( y = 6)

2 ( 12 ) + 5 ( 6 )

24 + 30

= 54

The scale factor is 15 because the width of the actual building is 15 times bigger than the model building.

So the length will be...

7*15 = 105 ft

answer: 105 ft

Answer:

Step-by-step explanation:

Area of the figure = Area of semicircle + area of rectangle

Area of semicircle:

d = 14 mm

r = 14/2 = 7 mm

Area = (1/2)πr²

[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]

=11 *7

= 77 mm²

Area of rectangle:

length = 14 mm

Width = 10 mm

Area = length *width

       = 14 * 10

       = 140 mm²

Area of the figure = 77 + 140 = 217 mm²

Answer:

12.6 = RU

Step-by-step explanation:

Using trig functions

Sin theta = opp/ hyp

sin 37 = RU/ RN

sin 37 = RU / 21

21 sin 37 = RU

12.63811549 = RU

To the nearest tenth

12.6 = RU

Answer:

You take 6% of a number and the resulting number is 27.

To do this you need to change the percent into a fraction.

6% = 6/100

This is the number you need to multiply to the number you need to find, A.

6/100 A = 27

Solve for x

6 A = 27x100

A= 2700/6

A = 450

Check your answer:

6/100 (A) = 27

6/100 (450) = 27

(6x450) /100 = 27

2700 / 100 = 27

27 = 27

Step-by-step explanation:

Answer:

The relationship that exist between the altitude and the atmospheric density is an inverse relationship.

[tex]D = \frac{k}{1291} kg/m^3[/tex]

Step-by-step explanation:

since the density of the atmosphere decreases as the altitude increases, the relationship that exist between the altitude and the atmospheric density is an inverse relationship. This can be represented by:

[tex]D = \frac{k}{H}[/tex], where k is the constant, H is the altitude in meters and D is the atmospheric density in kg/m.³

When the altitude is 1.291 km, i.e H = 1.291 km = 1291 m,the atmospheric density D is:

[tex]D = \frac{k}{1291} kg/m^3[/tex]

Answer:

multiply  42 m by 1.41 = 59.22

59.22 x 59.22 = 3507.0084

3507 = 3 billion

59.22  x 20  = 1 billion

Step-by-step explanation:

Answer: After 30 days, you would have $30,000

Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).

In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.

The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.

Having taken day one as a, and each successive 1000 as d, observe the following trend;

Day 1 = a

Day 2 = a + d

Day 3 = a + (3 - 1)d  which gives you a + 2d

Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;

Day ₙ = a + (n - 1)d

Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows

Day 30 = 1000 + (30 - 1) 1000

Day 30 = 1000 + (29 x 1000)

Day 30 = 1000 + 29000

Day 30 = 30000

Answer:

You would get 1000 everyday because you would get the previous day, you would have 30,000

Step-by-step explanation:

Answer:

(35-5) / 0.75 = amount of times he can ride.

30/0.75 = 40

Does this help?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

16 m^3  =4*4 * m^3

20 a^4 = 4*5*a^4

The greatest common factor is 4

Answer:

4

Step-by-step explanation:

16m³: 2⁴ × m³

20a⁴: 2² × 5 × a⁴

GCF: 2² = 4

Answer:

2

Step-by-step explanation:

The equation is p = 8/v.

If p = 4, then p = 4 = 8/v

Inverting both sides, we get  

                           1/4 = v/8

Multiplying both sides by 8, we get:

                              2 = v

If the value of p is 4, then the value of V will be 2. Then the correct option is C.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

p = 8/V

If the value of p is 4, then the value of V will be

4 = 8 / V

V = 8 / 4

V = 2

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

Look at the attachment

Answer:

4x

Step-by-step explanation:

[tex]2(x + y) + (2x - 2y) \\ = 2x + 2y + 2x - 2y \\ = 2x + 2x + 2y - 2y \\ = 4x + 0 \\ = 4x[/tex]

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

35 square cm

Step-by-step explanation:

[tex]area \: of \: trapezoid = \frac{1}{2} (3 + 4 + 3) \times 7 \\ = \frac{1}{2} \times 10 \times 7 \\ = 5 \times 7 \\ = 35 \: {cm}^{2} [/tex]

Answer:

The Volume of right triangular prism is 240 cubic inches

Step-by-step explanation:

Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]

In triangle ABC

AC = Hypotenuse = 13 in.

AB = Height

BC = Base = 12 in.

Using Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+base^2\\13^2=Perpendicular^2+12^2\\\sqrt{13^2-12^2}=Perpendicular[/tex]

5=Perpendicular

Area of base = [tex]\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 12 \times 5 = 30 in^2[/tex]

Height of prism = 8 in

Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]

Volume of right triangular prism =[tex]30 \times 8 = 240 in^3[/tex]

Hence The Volume of right triangular prism is 240 cubic inches

Answer:

$56.25 is the new price

Step-by-step explanation:

75 - 18.75 = 56.25 dollars

Answer:

56.25

Step-by-step explanation:

75*.25=18.75

75-18.75=56.25

Answer:

84 milligrams of caffeine

Step-by-step explanation:

5% of 140 is 7, and if its 5% every hour then you take away 7 for every hour, if there are 8 hours then its 7*8=56. You then subtract that number from 140 which is equal to 84

Answer:

there is no photo??where are the graphs??