Customers at the palace pro shop receive a 10% discount if they are members. all customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. the function g(x)=1.07x is used to determine the total amount customers Pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with regular price of x dollars?

Answer:

-7/4

Step-by-step explanation:

The slope of the line is -7/4

Answer:

= -7/4

Step-by-step explanation:

When we have 2 points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -14-7)/(9- -3)

   = ( -14-7)/(9+3)

   = -21/12

Simplify

  = -7/4

Answer: w=2

Step-by-step explanation:

5w+9=19

minis 9 on the 9 and 19

5w+10

divide 5 on the ten to get 2

w=2

Answer:

9

Step-by-step explanation:

Answer:

1.66

Step-by-step explanation:

The years needed to make $3000 to $5000 is 12.5.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, an investment of $3000 to amount to 5,000 if money is invested at 4.1% compounded monthly

A = P(1+r/12)^12t

5000 = 3000(1+0.041/12)^12t

5/3 = (1.0034)^12t

Taking log both sides,

log5/3 = 12tlog(1.0034)

0.221 = 12t0.00147

12t = 150.34

t = 12.5

Hence, required years are 12.5.

For more references on compound interest, click;

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Answer:

The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]

Step-by-step explanation:

Let x be the total number of burritos consumed

We are given that On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed

So, Number of burritos ate by Delainey on Tuesday=[tex]\frac{1}{2}x+16[/tex]

We are also given that  Louie ate 1 less than 3/4 of the total number of burritos consumed.

So, Number of burritos ate by Louie on Wednesday =[tex]\frac{3}{4}x-1[/tex]

We are given that The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday.

So, [tex]\frac{1}{2}x+16=\frac{3}{4}x-1\\1+16=\frac{3}{4}x-\frac{1}{2}x\\17=\frac{x}{4}\\68=x[/tex]

Hence  the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]

Step 1. Multiply

Step 2. Subtract

Step 3. Add

Step 4. Divide

Answer:

1.First option

2.last option

3.last option

Answer:

y = 130°

Step-by-step explanation:

4x + 8 + x + 7 + 3x - 19 = 180 (all angles in a triangle add upto 180)

8x = 184

x  = 23°

3x - 19 + y = 180 (supplementary = 180)

sub x = 23 into equation

50 + y = 180

y = 130°

Answer:

130

Step-by-step explanation:

To find solutions from graphs, look for the point where the two graphs cross one another. This is the solution point. For example, the solution for the graphs y = x + 1 and x + y = 3 is the coordinate point (1, 2). The solution to these equations is and.

Answer:

n= -9

Step-by-step explanation:

The calculator is correct haha, You're welcome.

Answer:

the middle on is 15 i think

Answer:

D. 5

Step-by-step explanation:

Heather runs 5 miles in 1 hour.

average speed = distance/time = 5 miles / 1 hour = 5 miles per hour

Answer: D. 5

Answer:

(3,3)

Step-by-step explanation:

you moved the point 2 units to the left. So the X value must go down 2.

(5-2,3)

it A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I took the test.

Answer: 25

Step-by-step explanation:

because 25 times 5 is 125 and dividing it brings it back to 25

Given:

The area of a square garden = 100 sq. ft

To find:

The perimeter of the garden.

Solution:

Let the side of the square garden be a.

Area of a square = [tex]a^2[/tex]

So, [tex]a^2=100[/tex].

Taking square root on both sides.

[tex]a=\pm \sqrt{100}[/tex]

[tex]a=\pm 10[/tex]

Length of side cannot be negative. So, a=10. It means, side length of the garden is 10 ft.

Perimeter of square = 4a.

Perimeter of square garden is

[tex]4(10)=40[/tex]

Therefore, the perimeter of the square garden is 40 ft.

Answer:

a=6

Step-by-step explanation:

-3a=-14-4

-3a=-18

a=6

Answer:

The answer is a=6

Step-by-step explanation:

Answer:

2x-8

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

15/40 divided by 5= (15 divided by 5)/(40 divided by 5)= 3/8

Answer:

a = 40

Step-by-step explanation:

Cross multiply, then divide:

I hope this helps!

Answer:

g = 5x-2/ x

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Six times a number plus 3 equals three times the same number minus

nine. This equation is 6x + 3 = 3x -9. Next, solve this equation and you get -4. Plug in -4 for x and you should get -21 on both sides.

Answer: B y=100/x

Step-by-step explanation:

Answer:

14. d

15. b

Step-by-step explanation:

steps for #14:

1. complementary angles are angles that equal 90 degrees when added together. so, those two angles equal 90. make an equation to represent this.

  (x + 5) + (x - 9) = 90

2. combine like terms.

  2x - 4 = 90

3. solve for x.

  2x = 94

     x = 47

4. plug x into both formulas to find the measurements of each angle.

  47 + 5    AND     47 - 9  

     d. angle DFG = 52, angle JKL = 38

steps for #15:

1. when angles are linear pairs, it means they equal 180 degrees when added together. so, these two angles equal 180. make an equation to represent this.

  (x - 39) + (x + 61) = 180

2. combine like terms.

  2x + 22 = 180

3. solve for x.

  2x = 158

     x = 79

4. plug x into both formulas to find the measurements of each angle.

  79 - 39    AND      79 + 61

     b. angle 1 = 40, angle 2 = 140

Answer:

b=−5x+y

Step-by-step explanation:

Let's solve for b.

y=5x+b

Step 1: Flip the equation.

b+5x=y

Step 2: Add -5x to both sides.

b+5x+−5x=y+−5x

b=−5x+y