Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff's income for taxes. What are geoff's total weekly earnings after taxes are withheld?
A) $ 39.41
B) $59.90
C) $ 330.60
D) $ 370.00

Answer:

a = b = c = 45°

Step-by-step explanation:

[tex]In\: \triangle BDC, \\\\

BD = CD.... (given) \\\\

\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\

\therefore a\degree = b\degree.... (1)\\\\

m\angle BDC= 90\degree \\\\

\because m\angle BDC + a\degree + b\degree=180\degree \\\\

90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\

2a\degree=180\degree -90\degree\\

2a\degree= 90\degree\\\\

\therefore a\degree=\frac{ 90\degree}{2} \\\\

\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\

\implies \huge\red {\boxed { b\degree=45\degree}} \\\\

In\: \triangle ABC, \\\\

AB = BC.... (given) \\\\

\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\

\therefore c\degree = b\degree\\\\

\because b\degree=45\degree \\\\

\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]

♡ Answer ♡

$78

♡ Step-by-step explanation ♡

  In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.

  As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.

  The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.

  So, the total (with the meal and the tip) is $78.

  A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!

Answer:

Yes

Step-by-step explanation:

This is becuase 46 x 1.06= 48.76, thats less than $50.

Answer:

yes

Step-by-step explanation:

tax will be $2.76 therefore it will come up to $48.76

Answer:

[tex] h = 3\sqrt{3} [/tex]

[tex] c = 4\sqrt{2} [/tex]

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

[tex] tan(60) = \frac{h}{3} [/tex]

[tex] \sqrt{3} = \frac{h}{3} [/tex] (tan 60 = √3)

Multiply both sides by 3

[tex] 3\sqrt{3} = h [/tex]

[tex] h = 3\sqrt{3} [/tex]

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

[tex] cos(45) = \frac{c}{8} [/tex]

[tex] \frac{\sqrt{2}}{2} = \frac{c}{8} [/tex] (cos 45 = √2/2)

Multiply both sides by 8

[tex] \frac{\sqrt{2}}{2} \times 8 = c [/tex]

[tex] \sqrt{2} \times 4 = c [/tex]

[tex] c = 4\sqrt{2} [/tex]

Answer:

31.42

Step-by-step explanation:

Answer:

75,310,000

75,340,000

75,360,000

75,370,000

75,380,000

75,390,000

75,400,000

Answer:

0(-1,2),(0,6),(1,10)

Answer:

the correct answer is 5 places

Answer:

2 sqrt(13)

Step-by-step explanation:

We can use the Pythagorean theorem

The x value between A and B is  4 units and the y value is  6 units

The distance is

d = sqrt( x^2 + y^2)

   = sqrt( 4^2 + 6^2)

   = sqrt( 16+36)

  = sqrt(52)

  = sqrt(4*13)

 = 2 sqrt(13)

Answer:

25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Step-by-step explanation:

Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:

25 x 1 + 5 x 0 = 25

25 x 0.9 + 5 x 0.1 = 23

25 x 0.8 + 5 x 0.2 = 21

25 x 0.7 + 5 x 0.3 = 19

25 x 0.6 + 5 x 0.4 = 17

25 x 0.5 + 5 x 0.5 = 15

25 x 0.4 + 5 x 0.6 = 13

25 x 0.3 + 5 x 0.7 = 11

25 x 0.2 + 5 x 0.8 = 9

Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:

25 x 0.25 + 5 x 0.75 = 10

Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Answer:

Her weekly wage is $1150.

Step-by-step explanation:

It is given that,

Grace spent 16% of her weekly wage on a new bookshelf that cost $184.

We need to find her weekly wage.

Let her weekly wage is x.

ATQ,

[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]

So, her weekly wage is $1150.

Answer:

2(3a-z)

cannot be further simplified

Step-by-step explanation:

Answer:

the perimeter of a square with sides 2.5 mm long is b.10 mm.

Answer:

18

Step-by-step explanation:

Thanks! Have a great day!

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:

[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to

[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to

[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get

A(t) = 5000(2.001597343) and multiply through to get

A(t) = 10,007.99

Answer:

$10048.31

Step-by-step explanation:

Answer:

a. 0.8837

b. 0.6914

c. 10 student

Step-by-step explanation:

a. using markov's inequality; P(u >= X)<= E(u) / X

   mean u = 76

   X, test score = 86

= 76 / 86 = 0.8837

b. variance v = 25

   The test is between 65 and 85 P(65 <= X <= 85);

   P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)

   = P(-11 <= |X - u| <= 9)

   = P(|X - u| <= 9)

using the chebyshev's inequality;

P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2

   = 1 - 25/ 9^2

   = 1 - 25/81 = 1 - 0.3086 = 0.6914

c. P(|X - 76| <= 5) = 0.9

still using chebyshev's inequality;

= 1 - variance / lower limit^2 (E)

where E = 1 - 0.9 = 0.1

lower limit = 5

= 1 - 25/ 5^2 (0.1) = 10

answer: (3,2)

step by step explanation: :)

Answer: 2/1/3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6 inches of snow is an amount above ground, so it is represented by a positive integer.

Answer: 6

Answer:

Firstly, it was 4 inches

After snowing it becomes (4+6)= 10 inches;

From ground it is 10 inches of snow

So, 10 inches is the right answer.

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

Step-by-step explanation:

For the left end of the function, it moves up towards positive infinity.

For the right end of the function, it movea down towarda negative infinity.

Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)

Answer:

y - 1/2 = -(x + 1/2)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where (x1, y1) is a point on the line

Plug in the point given and the slope:

y - y1 = m(x - x1)

y - 1/2 = -(x + 1/2)

So, the equation is y - 1/2 = -(x + 1/2)

Answer:

y - 1/2 = -(x + 1/2)

2-2=-1(1+1)

Step-by-step explanation:

slope is given

y-y1=m(x-x1)

Answer:

Step-by-step explanation:

4 feet = 48 inches, add 10 inches  = 58 inches

if susan is 15 inches shorter, 58- 15 = 43

43/12 = 3 feet 5 inches

Answer:

A

   The correct option is  C

B

  The  value of  z-test is  [tex]z = -2.267[/tex]

Step-by-step explanation:

From the question we are told that  

    The null hypothesis  [tex]H_o : p = 0.22[/tex]

    The alternative hypothesis  [tex]H_a : p \ne 0.22[/tex]

    The  level of significance is  [tex]\alpha = 0.01[/tex]

    The sample proportion is  [tex]\^ p = 0.15[/tex]

     The sample size is  n = 180

Generally from central limit theorem

if   np  and  nq  are  >  5  then  normal sampling distribution can be used

So  

     np =  180  * 0.22 =  39.6  >  5

and  

     nq =  180 * (1 -0.22) =  140.4 > 5

So normal sampling distribution can be used

Generally the z-test is mathematically represented as

      [tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1- p ) }{n } } }[/tex]

=>   [tex]z = \frac{ 0.15 - 0.22 }{ \sqrt{\frac{ 0.2(1- 0.22 ) }{ 180 } } }[/tex]

=>   [tex]z = -2.267[/tex]

Answer:

Step-by-step explanation:

Well since the polynomial is of not an even or odd sequence like the polynomial in the question is

[tex]3x^6+2x^4-x^3+7\\[/tex]

like the degree 6 is even the degree 4 is even but the degree 3 is odd so since the sequence breaks the polynomial above has no real x-intercepts meaning it has complex roots.

Answer:

product of 10 and 8

Step-by-step explanation:

8 is the quotient of 80 and 10 (80/10=8)

Answer:

-4539

Step-by-step explanation:

147 + 130 + 113 + 96 +

arithmetic, with

a = 147 and d 130 - 147 = -17

Sn = (n/2)(2a + d(n - 1))

S34 = (34/2)(2*147 - 17(34 - 1))

= 17(294 - 561)

hope it helps!

Answer:

What’s pad let?

Step-by-step explanation:

Answer: 3.265

Step-by-step explanation:

Step-by-step explanation:

Perimeter = x + 2x + 2x = 5x

Since 5x <= 46.8cm, x <= 9.36cm.

The largest base is 9.36cm.

Answer:

9.36 is correct

Step-by-step explanation: