A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?​

Step-by-step explanation:

[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]

Answer: The original price was  $125

Step-by-step explanation:

If an item is on sale for $100 and it was discounted by 20%  then we could set up an equation and solve for the original price.

Remember if there were 20% discount then 80% of the price will be left.

80% * x = 100    

0.8x =100

x = 125

Step-by-step explanation:

We have :

• Selling Price = $100

• discount = 20%

As we know

• Selling Price = Cost - Discount

Now we have

• Discount = 20%

Let cost be x

→ Selling Price = x - 20% of x

→ selling price = 80% of x

→ 80% of x = 100

→ 80/100 x = 100

→ x = 100 × 100 / 80

→ x = $ 125

Answer:

because if u divide the top and bottom by 5, you'll get 2/5

Step-by-step explanation:

Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir

Step-by-step explanation:

10 / 5 = 2

25 / 5 = 5

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

[tex]Distance = Speed \times Time[/tex]

Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs

Speed = 22 mph

[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.

Answer:

A

Step-by-step explanation:

It’s the opposite

Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.

Step-by-step explanation:

So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.

Hence, your answer.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 1 }}}}}[/tex]

Step-by-step explanation:

Given, f( x ) = 2x - 3

Here, we assume the value of x as 1

Now, Finding f ( 1 )

[tex] \sf{f(1) = 2 \times 1 - 3}[/tex]

Multiply the numbers : 2 and 1

⇒[tex] \sf{f(1) = 2 - 3}[/tex]

Subtract the numbers : 3 from 2

⇒[tex] \sf{f(1) = - 1}[/tex]

Hope I helped!

Best regards!!

Answer: f = -6

Step-by-step explanation:

Remove parentheses

f= -2*3

f= -6

Answer:

$18 per week

Explanation:

google

The amount that is withheld weekly for federal income tax is $52.25

Federal Insurance Contribution Act is the legal organization used in the United States which contain the rules and regulations applied for calculating payroll taxes on the paychecks of the employee. The tax process is contributed by both the employees as well as the employers for funding the social security and Medicare programs.

The rate of federal tax withheld for the weekly paycheck is:

= 6.2% of social security + 1.45% for medicare

= 7.65% of the gross weekly pay.

If Beverly Hibbs earns $683.00 a week, the amount withheld weekly by the Federal income tax is:

= 0.0765 × 683

= $52.25

Learn more about federal income tax here:

https://brainly.com/question/17092810?referrer=searchResults

Answer:

4 i - 5

Step-by-step explanation:

Simplify the following:

4 + 12 i - 9 - 8 i

Hint: | Evaluate 4 + 12 i - 9 - 8 i.

4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:

Answer:  4 i - 5

Answer:

40th term = 241.

Step-by-step explanation:

17th term:

=  a1 + 16d = 80

12th term

=  a1 + 11d = 45       Subtracting the 2 equations:

5d = 80 - 45 = 35

d = 7

and a1 + 16(7) = 80

a1 = 80 -112 = -32.

Therefore the 40th term = -32 + 39*7

= 241.

Answer:

true

Step-by-step explanation:

16,000 / 10 = 1,600

Answer:

His income was 8000 rupees

Step-by-step explanation:

We must find his income so let that be x

We take 100%-5% = 95%

Turn this 95% into a decimal which is 0.95

So:

x * 0.95 = 7600

Rearrange this to give x:

x = 7600/0.95

x = 8000 rupees

The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.

Percentages are fractional values where the total amount is taken as 100.

25% of a quantity means 25/100 of that quantity.

In the question, we are informed that after paying 5% of income, a man is left with Rs. 7600.
We are asked to find his income.

We are given that a man pays 5% of his income, so he will be left with (100-5)% = 95% of his income as percentages are taken over a total of 100.

We assume the man's total income to be Rs. Y.

∴ We can say that the man is left with 95% of Y.

We know the man is left with Rs. 7600. So we can write this case as:

95% of Y = 7600

or, 95/100 of Y = 7600

or, (95/100)*Y = 7600

or, Y = (7600*100)/95 = 760000/95 = 40000/5 = 8000.

∴ The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.

Learn more about percentages at

https://brainly.com/question/843074

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Answer:

110 = z

Step-by-step explanation:

Since these figures are similar, the angles have to be the same measure

<A =< E

<B = < F

<C = <G

<D = <H

110 = z

Answer:

make x the subject of formula then = 6/48

Answer:

The answer is C in my opinion and it is one of confusing question i have ever seen

Step-by-step explanation:

If he scored 351 points last years and he plays 18 games this year and if we want to know the points that he need to beat last year score in thsi year we need to divide 351÷18=19.5 so he will need to have no morethan 20 points because 19.5 is also enough to get the score

I hope u like it

Answer:

Population: A) All woman in the country

Step-by-step explanation:

Sample: A) The 1004 woman selected

Answer:

It's D) 97°

Step-by-step explanation:

Just stick this in ya brain

Supplementary angles => sum => 180

Answer:

D

Step-by-step explanation:

So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:

[tex]\angle PQR+\angle XYZ=180[/tex]

Since we already know the measure of PQR, substitute 83 for PQR:

[tex]83+\angle XYZ=180[/tex]

Subtract 83 from both sides:

[tex](83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree[/tex]

The answer is D

Answer:

it should be 80

Step-by-step explanation:

100 squared is 10

400 squared is 20

80 does not have an exact answer 8.944 so it is 80

Answer:

Step-by-step explanation:

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

Answer:

Step-by-step explanation:

7y^2 - 3y - 4y^2 -2y + 2

3y^2 - 5y + 2

Answer:

x = 11/c

Step-by-step explanation:

To solve this equation for x, we simply need to apply equation operations and isolate the x variable.

cx - 4 = 7

cx - 4 + 4 = 7 + 4

cx = 7 + 4

cx = 11

cx * (1/c) = 11 * (1/c)

x = 11 * (1/c)

x = 11/c

Cheers.

Answer:

x≥ -3

Step-by-step explanation:

The domain is the values that x can take

g(x) = sqrt( x+3)

This must be greater than or equal to zero

x+3  must be greater than or equal to zero

x must be greater than or equal to -3

x≥ -3

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

[tex]Ratio = 8 : 3[/tex]

On Saturday:

[tex]Ratio = 4 : 7[/tex]

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

[tex]Ratio = 4 : 7[/tex]

Calculate Total

[tex]Total = 4 + 7[/tex]

[tex]Total = 11[/tex]

Calculate the number of skiers

[tex]Skiers = \frac{7}{11} * 168[/tex]

[tex]Skiers = \frac{1176}{11}[/tex]

[tex]Skiers = 107[/tex] (Approximated)

Calculate the number of snowboarders

[tex]Snowboarders = \frac{4}{11} * 168[/tex]

[tex]Snowboarders = \frac{672}{11}[/tex]

[tex]Snowboarders = 61[/tex] (Approximated)

Calculate the difference

[tex]Difference = 107 - 61[/tex]

[tex]Difference = 46[/tex]

Hence, there are 46 more skiers than snowboarder

Answer:63

Step-by-step explanation:

[tex]\boxed{27.422}[/tex]

We will use order of operations to add and subtract from left to right to solve this equation.

26.8 + 0.65 = 27.45

The equation now looks like:

27.45 - 0.028 = 27.422

Therefore, your answer is 27.422.

Answer:

ok so

  26.8

+   0.65

----------------

  27.45

-    0.028

----------------

27.422

Step-by-step explanation:

uhh just math

Answer:

y = -4x + 3

Step-by-step explanation:

m = slop

b = y-int

y = mx + b

Answer:

Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.

Part B: y=8d+12b

Step-by-step explanation: