Suppose that the local sales tax rate is 5 %and you purchase a car for $ 27,400
a. How much tax is​ paid?
b. What is the​ car's total​ cost?


Answer 1


A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370


Step-by-step explanation:

Related Questions

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What is the result of 72 divided by 12? 6 8 9 12



the answer is 6

Step-by-step explanation:



Step-by-step explanation:

Hope this helps!!!!!!

One basketball team played 30 games throughout their entire season. If this team won 80% of those games, how many games did they win? Enter a numerical answer only.


the team won 24 games out of 30

Graph the following function and then find the specified limits. When necessary, state that the limit does not exist.f(x)equals=left brace Start 3 By 2 Matrix 1st Row 1st Column x minus 3 2nd Column if x less than 5 2nd Row 1st Column 2 2nd Column if 5 less than or equals x less than or equals 6 3rd Row 1st Column x plus 4 2nd Column if x greater than 6 EndMatrixx−3 if x<52 if 5≤x≤6x+4 if x>6;findModifyingBelow lim With x right arrow 5limx→5 f(x)andModifyingBelow lim With x right arrow 6limx→6 f(x)


If I'm reading the question right, you have

f(x)=\begin{cases}x-3&\text{for }x<5\n2&\text{for }5\le x\le6\nx+4&\text{for }x>6\end{cases}

and you have to find

\displaystyle\lim_(x\to5)f(x)\text{ and }\lim_(x\to6)f(x)

The limits exist if the limits from either side exist. We have







\implies\displaystyle\lim_(x\to6)f(x)\text{ does not exist}

Final answer:

The function f(x) is a piecewise function. The limit as x approaches 5 equals 2 and the limit as x approaches 6 does not exist as the values from both sides are not the same.


The function f(x) given is a piecewise function which is defined differently on different intervals of x.

First let's graph these three conditions:

  • For x < 5, f(x) = x - 3. It is a straight line that crosses the Y-axis at -3.
  • For 5 ≤ x ≤ 6, f(x) = 2. It is a horizontal line along the height of 2 from x=5 to x=6.
  • For x > 6, f(x) = x + 4. It is a straight line that crosses the Y-axis at 4.

Next, we'll find the specified limits:

  • limx→5 f(x): As x approaches 5, we will look at values from both sides. From the left (x < 5), it would be 5 - 3 = 2. From the right (5 ≤ x ≤ 6), f(x) = 2. The value is the same from both sides, so the limit as x approaches 5 equals 2.
  • limx→6 f(x): As x approaches 6, from the left (5 ≤ x ≤ 6), f(x) = 2. From the right (x > 6), it would be 6 + 4 = 10. The values are not the same from both sides, so the limit as x approaches 6 does not exist.

Learn more about Mathematical Limits here:


PLEASE ANSWER!!!!!!!! Which system of equations does this graph represent? Linear graph and parabola. They intersect at 2, negative 1 and negative 3, 4 (1 point) A. y = x2 − 5 y = −x + 1
B. y = x2 − 5 y = −x − 1
C. y = x2 + 5 y = −x + 1
D. y = x2 + 5 y = −x − 1



Option (A)

Step-by-step explanation:

For equation of the line,

Let the equation is, y = mx + b

Slope 'm' of the line passing through two points (-3, 4) and (2, -1),

m = (y_2-y_1)/(x_2-x_1)

   = (4+1)/(-3-2)

   = -1

y-intercept of this line, b = 1

Now we substitute these values in the equation,

y = -x + 1

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the parabola,

Since vertex of the given parabola is (0, -5),

then the equation will be,

y = a(x - 0)²- 5

y = ax² - 5

Since a point (2, -1) lies on this parabola,

-1 = a(2)² - 5

5 - 1 = 4a

a = 1

Equation of the parabola will be,

y = x² - 5

Therefore, Option (A) will be the answer.

Adam bought 12 bagels. It cost him $30. How much does each bagel cost




Step-by-step explanation:

$30 divided by 12 = 2.5

Each bagel is $2.5

Yoshi needs to find the inverse of f(x) = 5x – 2. What is the first step?


Yoshi needs to find the inverse of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.

In mathematics, an inverse function is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.

To find the inverse of a function, the first step is to switch the x and y variables. In this case, the function is f(x) = 5x - 2.

To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.

It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique output) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.

Learn more about Inverse here:



D. Replace f(x) with y

Step-by-step explanation: