Rachel has been offered full-time sales positions at two different furniture stores. The first store will pay her a weekly salary of $250 plus a commission of 12% of her sales. The second store will pay her a weekly salary of $475 plus an 8% commission. If x represents Rachel’s weekly sales (in dollars) and y represents her total earnings (in dollars), which system of equations describes the problem situation?
A.
{
y
=
0
.
12
x
y
=
0
.
8
x
B.
{
y
=
250
+
12
x
y
=
475
+
8
x
C.
{
y
=
250
x
+
12
y
=
475
x
+
8
D.
{
y
=
250
+
0
.
12
x
y
=
475
+
0
.
08
x

Answer:

D

Step-by-step explanation:

2x>7

x>7/2

x>3.5

Answer:

D

Step-by-step explanation:

Have a day as amazing as you are :D

Answer:

No

Step-by-step explanation:

10 kilograms = 22 pounds

23 kilograms = ? pounds

so for this you would need to cross multiply:

(22 * 23) = 506

(10 * x ) = 10x

--> 506 = 10x

Next step is to isolate the varible (x), to do that you need to divide by 10.

x = 506/10 = 50.6

50.6lbs is more than 50lbs so no it can't get checked out

Answer:

Step-by-step explanation:

3c + 2e = 6.10

e = c + 0.30

3c + 2(c + 0.30) = 6.10

5c + 0.60 = 6.10

5c = 5.50

c = 1.10 Є

e = c + 0.30 = 1.40 Є

Answer:

The amount is 8,322

Step-by-step explanation:

To get this , we are going to use the compound interest formula

A = P( 1 + r/n)^nt

A is the amount we are calculating

P is the amount deposited = 6,500

r is the interest rate = 5% = 5/100 = 0.05

n is the number of times per year the interest is compounded

= 2 since it is semi-annually

t is the number of years = 5

Substituting these values, we have it that ;

A = 6,500(1 + 0.05/2)^10

A = 6,500(1.025)^10

A = 8,322

Answer:

64

Step-by-step explanation:

Given :

h α 1 / sqrtk

h = k/sqrt(d)

Obtain the value of k, when. d = 4 and h = 20

20 = k / sqrt(4)

20 = k / 2

20 * 2 = k

k = 40

Therefore, the value of d when h = 5

h = k/sqrt(d)

5 = 40 / sqrt(d)

Square both sides

25 = 1600/d

25d = 1600

d = 1600 / 25

d = 64

d = 64

Answer: 140

Step-by-step explanation:

Angle 4 and A are supplementary meaning they add to 180

Thus you can do 180-40 = 140 to get that angle A = 140.

Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.

Answer:

10% dicount

Step-by-step explanation:

76.50 / 85.00 = .9

The airplane cost 90% of its original value, meaning you have a 10% discount

10% of 85 =  .1 x 85 = 8.50

85.00 - 8.50 = 76.50

Answer:

66°

I hope it helps.........

The missing angle ∠ABC is 35°.

Let the missing angle be x and y To find the missing angle y, we need to solve the equation 102° + x + y = 180, where x and y are angles.

Given that x + 137 = 180, we can substitute the value of x in terms of 180 - 137:

x = 180 - 137

x = 43°

Now, we can substitute the value of x into the equation y =∠ABC  

102° + x + y = 180

102° + 43° + y = 180

Combining like terms:

145° + y = 180

To find y, we subtract 145° from both sides:

y = 180 - 145

y = 35°

Therefore, the missing angle ∠ABC is 35°.

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Answer:

c = 75

Step-by-step explanation:

Add 6 to both sides: 2/5c = 30

Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2

c = 75

Given:

The initial population of rabbit = 8

Population of rabbits doubles every 4 months.

To find:

The number of population in 1 year.

Solution:

The exponential growth model is

[tex]y=a(b)^x[/tex]          ...(i)

Where, a is the initial population, b is growth factor, x is time period.

We know that,

12 month = 1 year

So, there are 3 time period of 4 months in an year.

Initial population of rabbit (a) = 8

Population of rabbits doubles every 4 months. So, growth factor is 2, i.e., b=2 and the time period is 3, i.e., x=3.

Putting a=8, b=2, x=3 in (i), we get

[tex]y=8(2)^3[/tex]

[tex]y=8(8)[/tex]

[tex]y=64[/tex]

Therefore, the population of rabbit in 1 year will be 64.

Answer:

Your answer is 0.300 rounded to the thousands place.

Step-by-step explanation:

Hope this helps!

Answer:

12

Factors : 1,2,3,4,6,12

Answer:

the number can be 12.

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

Answer:

add chart! i dont want there to be point stealers so when u add a chart ill add u an answer

Step-by-step explanation:

Answer:

D. x = 5.4, y = 6.67

Step-by-step explanation:

The triangles are similar as per problem description, so the ratios match:

y/5 = 4/3

x/3 = 9/5

let's solve:

y/5 = 4/3

3y/5 = 4

3y = 20

y = 6.(6)

x/3 = 9/5

5x/3 = 9

5x = 27

x = 5.4

Answer:

I would guess it is 1F

Step-by-step explanation:

There is a 1 infront of the F so 1 times one, I think dont count me on that

Answer:

A

Step-by-step explanation:

if the line is steeper it means that it increases quickly

Answer:

57 degrees

Step-by-step explanation:

in a triangle the three interior angles always add to 180°

if you add 53 and 70 you get 123

to find the missing angle you would subtract 180 from the two numbers added

180 - 123

so 57 degrees

Answer:

I think it's C. :)

Step-by-step explanation:

.

.

.

.

.

.

.

Answer:  y = 5x + 12

Step-by-step explanation:

y = mx + b, where m is the slope, and b is the y- intercept, then we plug in:

y = 5x + 12

Answer:

(y – 4) = 2(x – 2)

Step-by-step explanation:

point slope: y – y₁ = m ( x - x₁ ).

slope: m = ∆y / ∆x.

_______________

m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]

= 2

____________________________

(2, 4) → (x₁, y₁).

2 → m.

y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).

Answer:

y-4=2(x-2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B. 16m - 5 - 9m

Step-by-step explanation:

The "-" outside of the parentheses also can be interpreted as -1.

So multiply -1 with 5 and 9m within the parentheses.

That gets you 16m - 5 - 9m.

Answer:

Step-by-step explanation:

y-4=-3x+9

y=-3x+13

Answer:

60 = 45 + t

Step-by-step explanation:

The height of the pickle ball when it was hit is = h = AB = 8.5 feet

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent.

Applications of Trigonometry:

Measuring grounds lots, and fields,

Measuring ground surfaces,

Making building perpendicular and parallel,

Roof inclination and roof slopes,

Installing ceramic tiles and stones,

The height and width of the building.

Given in figure

(in feet)

ED = 3

BC = 34

BD = 22

AB = h = height of the pickle ball

Therefore DC = 34 - 22 = 12

In ΔEDC

Let ∠ECD = a

tan a = ED/DC

⇒ tan a = 3/12

⇒ tan a = 1/4         (1)

In ΔABC

∠ACB = a

tan a = h/34

⇒ 1/4  = h/34      (from 1)

⇒ h = 34/4

⇒ h = 8.5

Hence height of the pickle ball is 8.5 feet.

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Answer:

four hundred thirty thousand

Step-by-step explanation:

Your welcome<3

Answer:

4.3 × 10 to the 5th power

Step-by-step explanation:

Answer:

A = -17

Step-by-step explanation:

F(5) = -4(5) + 3

F(5) = -20 + 3

F(5) = -17

Answer:

D. 23

Step-by-step explanation:

f(-5) = -4(-5) + 3

= 20 + 3

= 23

therefore f(-5) is 23