Ask question

Ask question

All categories

3 years ago

7

A bicycle has a listed price of $519.95 before tax. If the sales tax rate is 9.75% , find the total cost of the bicycle with sal

es tax included.

1 answer:

jek_recluse [69]3 years ago

7 0

Youre finding 9.75% of 519 you know its going to be near 50 dollars
your answer is 50.695125
or 50.70$ tax
519.95+50.7 = 570.65$ total

You might be interested in

Find the slope of the line whose equation is 15 + 3x = 2y.

Korvikt [17]

15+3x=2y
2y=3x+15
y= $\frac{3}{2} x+ \frac{15}{2}$
Gradient, m= $\frac{3}{2}$

6 0

2 years ago

Read 2 more answers

A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full c

ehidna [41]

Answer:

y = 5.5x – 17

Step-by-step explanation:

Slope (m) = ΔY/ΔX=11/2 =5.5

When x=0, y = -17

4 0

2 years ago

CAN SOMEONE PLEASE HELP ME

Hoochie [10]

8) C
9) A
10) B
11) C
Hope i could help

8 0

3 years ago

Eddi Din [679]

Answer:

a) $y=\dfrac{5}{2}x$

b) yes the two lines are perpendicular

c) $y=\dfrac{5}{4}x+6$

Step-by-step explanation:

a) All this is asking if to find a line that is perpendicular to 2x + 5y = 7 AND passes through the origin.

so first we'll find the gradient(or slope) of 2x + 5y = 7, this can be done by simply rearranging this equation to the form $y = mx + c$

$5y = 7 - 2x$

$y = \dfrac{7 - 2x}{5}$

$y = \dfrac{7}{5} - \dfrac{2}{5}x$

$y = -\dfrac{2}{5}x+\dfrac{7}{5}$

this is changed into the $y = mx + c$ , and we easily see that -2/5 is in the place of m, hence $m = \frac{-2}{5}$ is the slope of the line 2x + 5y = 7.

Now, we need to find the slope of its perpendicular. We'll use:

$m_1m_2=-1$ .

here both slopes $m_1$ and $m_2$ are slopes that are perpendicular to each other, so by plugging the value -2/5 we'll find its perpendicular!

$\dfrac{-2}{5}m_2=-1$ .

$m_2=\dfrac{5}{2}$ .

Finally, we can find the equation of the line of the perpendicular using:

$(y-y_1)=m(x-x_1)$

we know that the line passes through origin(0,0) and its slope is 5/2

$(y-0)=\dfrac{5}{2}(x-0)$

$y=\dfrac{5}{2}x$ is the equation of the the line!

b) For this we need to find the slopes of both lines and see whether their product equals -1?

mathematically, we need to see whether $m_1m_2=-1$ ?

the slopes can be easily found through rearranging both equations to $y=mx+c$

Line:1

$2x + 3y =6$

$y =\dfrac{-2x+6}{3}$

$y =\dfrac{-2}{3}x+2$

Line:2

$y = \dfrac{3}{2}x + 4$

this equation is already in the form we need.

the slopes of both equations are

$m_1 = \dfrac{-2}{3}$ and $m_2 = \dfrac{3}{2}$

using

$m_1m_2=-1$

$\dfrac{-2}{3} \times \dfrac{3}{2}=-1$

$-1=-1$

since the product does equal -1, the two lines are indeed perpendicular!

c)if two perpendicular lines have the same intercept, that also means that the two lines meet at that intercept.

we can easily find the slope of the given line, y = − 4 / 5 x + 6 to be $m=\dfrac{-4}{5}$ and the y-intercept is $c=6$ the coordinate at the y-intercept will be (0,6) since this point only lies in the y-axis.

we'll first find the slope of the perpendicular using:

$m_1m_2=-1$

$\dfrac{-4}{5}m_2=-1$

$m_2=\dfrac{5}{4}$

we have all the ingredients to find the equation of the line now. i.e (0,6) and m

$(y-y_1)=m(x-x_1)$

$(y-6)=\dfrac{5}{4}(x-0)$

$y=\dfrac{5}{4}x+6$

this is the equation of the second line.

side note:

this could also have been done by simply replacing the slope(m1) of the y = − 4 / 5 x + 6 by the slope of the perpendicular(m2): y = 5 / 4 x + 6

8 0

3 years ago

Help please very confused.

Nat2105 [25]

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

7 0

2 years ago

Read 2 more answers