How much sales tax will Nicole pay on a $36 shirt if the tax rate is 7%?

Answers

Answer 1

Answer: Tax is 7% of 36.

(7/100) * 36

0.07 * 36

= 2.52

Tax = $2.52

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Solve for the variable-6a+3=-3(2a-1)Can some one help me. But explain in step by step?
Please show all work.
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10 POINTS. 1/7 written as a decimal is 0.142857 (this sequence repeats). What digit occurs in the 2012th spot after the decimal? Please explain.

Answers

1/7 = 0.142857142857142857142857142857142857142857142857142857 and so on

the pattern repeats

the first digit is 1
second digit is 4
third digit is 2
fourth digit is 8
fifth digit is 5
sixth digit is 7

and then the seventh digit is 1, and it repeats

so the six digits repeat again and again...

2012/6 = 335 2/6

It has a remainder of 2, which means that the 12th digit will be 4. because that is the second digit. After going 335 times the 6 digit patterns it will stop at the second digit which is 4.

Your answer is 4.

I hope you understood, it was kind of hard to explain :P

Hilbert's axioms changed Euclid's geometry.
True
False

Answers

The answer to you're question is true

Which of the following is the graph of f(x) = x2 − 5x + 4?

Answers

Answer:

refer attachment for the graph.

Step-by-step explanation:

Given: The equation $f(x)=x^2-5x+4$

We have to draw the the graph for the given equation.

Consider the given equation $f(x)=x^2-5x+4$

The vertex of the parabola of the form $f(x)=ax^2+bx+c$ is given by $x=-(b)/(2a)$

Here, a = 1 , b = -5 and c = 4

Thus, vertex is

$x_v=-(\left(-5\right))/(2\cdot \:1)=(5)/(2)$

Also, the y coordinate at $x=(5)/(2)$ is

$y_v=\left((5)/(2)\right)^2-5\cdot (5)/(2)+4$

Simplify, we get,

$y_v=-(9)/(4)$

Thus, The vertex of parabola is $\left((5)/(2),\:-(9)/(4)\right)$

y - intercept is the point where x = 0

Plug x = 0 in given equation $f(x)=x^2-5x+4$

$f(0)=0^2-5(0)+4=4$

Thus, y - intercept is (0,4)

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

$x^2-5x+4=0$

Solving the given quadratic equation using quadratic formula ,we have

$x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)$

we have a = 1 , b = -5 and c = 4

$x_(1,\:2)=(-\left(-5\right)\pm √(\left(-5\right)^2-4\cdot \:1\cdot \:4))/(2\cdot \:1)$

Simplify, we have,

$x_(1,2)=(5\pm√(9))/(2)$

Thus, $x_1=4, x_2=1$

Thus, The x - intercept are (4,0) and (0,1)

Plot the graph and we obtain as shown below.

I made a graph of the equation hope this helps.

Find all sets of four consecutive integers whose sum is between 95 and 105

Answers

Hello,
Let n-2,n-1,n,n+1 the four consecutive integers.

s=n-2+n-1+n+n+1=4n-2
==> 95<=4n-2<=105
==> 97<=4n<=107
==>24.25<=n<=26.75

n= 25 ou n=26
if n=25, s=23+24+25+26=98
if n=26, s=24+25+26+27=102

2 solutions: {23,24,25,26} and {24,25,26,27}

There was 6/9 of a pie left over from dessert. Then, 3/9 of it got eaten. How much is left now?

Answers

6/9 – 3/9 = 3/9 = 1/3

There is 1/3 of the pie left.

The circumference of a circle is 12 pi inches. find its radius and area the radius of the circle is____inthe area of the circle is _____in^2

Answers

The circumference of a circle has the formula: 2*pi*r. So, we could easily determine the value of r.

C = 2*pi*r
12*pi = 2*pi*r
12 = 2r
r = 12/2
r = 6 inches

Knowing the r, we could find the area which has the formula

A = pi*r^2
A = pi*6^2
A = 113.1 square inches

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