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eduard
3 years ago
14

Taylor spent $107.96 at the grocery store, before sales tax. Sales tax on food is 2.5%. How much will Taylor pay in sales tax? *

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

$2.70

Step-by-step explanation:

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How to calculate the rise and run of a slope (4,-1) and (-2,3)
astra-53 [7]
m =  \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }
m =   \frac{3 - (-1)}{-2 - 4}
m =  \frac{4}{2}
m = 2
8 0
3 years ago
Customer account numbers for a certain company consists of 3 letters followed by 5 numbers how many different account numbers ar
Arturiano [62]

Answer:

1,757,600,000

Step-by-step explanation:

company consists of 3 letters followed by 5 numbers how many different account numbers are possible if repetitions of letters and digits are allowed.

We have 26 lettrs and 10 digits

So, the possible out comes for each one of the letters = 26

And the possible out comes for each one of the numbers = 10

∵ repetitions of letters and digits are allowed.

So, the possible accounts are = 26³ * 10⁵ = <u>1,757,600,000</u>

5 0
3 years ago
Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c
Romashka [77]

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
  • Standard Form: f(x) = ax² + bx + c
  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = -2(x + 2)² + 6

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6
  2. Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6
  3. Combine like terms (constants):     f(x) = -2x² - 8x - 2
8 0
3 years ago
Is 5 a solution to the compound inequality “-3 &lt; x &lt; 6”
Naddika [18.5K]

Answer:

The possible answers are  

-2,-1,0,1,2,3,4 and 5

3 0
3 years ago
A box is to be made from a rectangular piece of corrugated​ cardboard, where the length is 8 more inches than the​ width, by cut
Ksenya-84 [330]
The volume of a box like this is found by multiplying the length times the width times the height.  We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8.  If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3.  The volume is given as 27, so our formula looks like this:  27=(3)(w)(w+8).  When we do that multiplication, we have  27=3w^2+24w.  We need to solve for w so we can then solve for h.  Move the 27 over and set the quadratic equal to 0.  3w^2+24w-27=0.  We can then factor out a 3 to make the job easier:  3(w^2+8w-9)=0.  Now we can factor to solve for w.  The 2 numbers that add up to 8 and multiply to -9 are 9 and -1.  So (w+9) = 0, (w-1) = 0, or 3 = 0.  Of course 3 doesn't equal 0, so that's out.  w + 9 = 0 so w = -9.  w - 1 = 0 so w = 1.  There are 2 things in math that can never EVER be negative and those are time and distance/length.  So -9 is out.  That means that w = 1.  But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7.  The length is w + 8 which means that the length is 7 + 8 or 15.  Those are the dimensions of the rectangle before it was cut.
4 0
3 years ago
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