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mixer [17]
3 years ago
14

The sales tax in one towns 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item that

sells for $12?
Mathematics
1 answer:
Artemon [7]3 years ago
5 0
Short answer:
TotalCost = 12.96


Long answer:

It gives you the equation of

total cost = C + 0.08C

You just need to plug-in the $12 to the equation.
In other words, the equation is:
TotalCost = 12 + 0.08*12
TotalCost = 12 + 0.96
TotalCost = 12.96
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tatiyna

Answer:

Wes

Step-by-step explanation:

This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct

3 0
2 years ago
Which statement is true about the domain of y = 3(2^-x)? Explain.
SVEN [57.7K]
We want to determine the domain of {y=3 \cdot 2^{-x}=3 \cdot ({2^{-1}})^x=3 \cdot ({ \frac{1}{2}})^x

any function of the form y=f(x)=a \cdot b^x is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.

The domain of such functions is all real numbers.

That is for any x, the expression <span>3(2^-x) "makes sense".



Answer: </span><span>The domain is all real numbers</span>
8 0
3 years ago
Solve the system of equations by the addition method <br> { 5x-y=-3<br> { 4x+3y=-48
Svetach [21]

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

  • 3(5x-y=-3)
  • 4x+3y=-48

  • 15x-3y=-9
  • 4x+3y=-48

The y-terms cancel out

  • 15x=-9
  • 4x=-48

Add the x-terms with each other and the terms after the equal sign as well

  • 19x=-57

Divide -57 by 19

  • x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

  • 5(-3)-y=-3 or
  • 4(-3)+3y=-48

  • -15-y=-3 or
  • -12+3y=-48

Simplify your terms

  • -y=12
  • 3y=-36

Divide

  • y=-12
  • y=-12
4 0
3 years ago
The price of a company's share dropped by 3.50% by the end of the first year, down to $44.25. During the second year the price o
omeli [17]

Answer:

a. $45.86

b. $43.87

c. Percentage change = -4.40%)

Step-by-step explanation:

a. Let the price of share at the beginning of first year be represented with X

Now, Price of company's share dropped by 3.50% at the end of first year.

So, Price of share at the end of first year = x - 3.5% of x

= x - 0.035x

= 1x - 0.035x

= 0.965x

But it is equal to $44.25

=> 0.965x = 44.25

x = 44.25 / 0.965  

x = 45.8549223

x = $45.86

b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99  = $43.87

c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100

= (1.99/45.86)*100

= 0.04339294 * 100

= 4.40%

Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)

5 0
2 years ago
What solution is this w = 10
alina1380 [7]

Answer:

w = 10

Step-by-step explanation:

9(w - 9) -2 = -7 + 7(w -8)

Expand:

9w - 81 - 2 = -7 + 7w - 56

Rearrange:

9w - 7w = -7 - 56 + 81 + 2

2w = 20

w = 10  

3 0
3 years ago
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