A camera has a listed price of $670.98 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
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Answer:

(4,3)

Step-by-step explanation:

3x + 2y = 18

5x – 2y = 14

Add the two equations together to eliminate y

3x + 2y = 18

5x – 2y = 14

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

8x    =   32

Divide each side by 8

8x/8 = 32/8

x = 4

Now determine the value for y

3(4) +2y = 18

12 +2y =18

Subtract 12 from each side

12-12+2y = 18-12

2y = 6

Divide by 2

2y/2 =6/2

y=3

Answer:

x=4 and y=3

Step-by-step explanation:

x+2y=18

5x−2y=14

Add these equations to eliminate y:

8x=32

Then solve8x=32for x:

8x=32

8x

8

=

32

8

(Divide both sides by 8)

x=4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+2y=18

Substitute4forxin3x+2y=18:

(3)(4)+2y=18

2y+12=18(Simplify both sides of the equation)

2y+12+−12=18+−12(Add -12 to both sides)

2y=6

2y

2

=

6

2

(Divide both sides by 2)

y=3

Answer:

x=4 and y=3

Answer:

The theoretical probability of getting a 2 when a fair die is rolled is 1/6  so its a low chance

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

The slope of the line is change in y over change in x.

The formula is:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Step 1:  Identify the two points

(x1, y1) -> (0, 0)

(x2, y2) -> (1, 2)

Step 2:  Plug into the equation

The formula is:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{2 - 0}{1-0}[/tex]

Slope = 2/1

Slope = 2

Answer:  The slope is 2

Answer:

x = [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-3}{10}[/tex] = [tex]\frac{3}{10}[/tex]

Thus the equation of the axis of symmetry is x = [tex]\frac{3}{10}[/tex]

Answer:

60.

Step-by-step explanation:

(x^2 - 25) / (√(x + 4) - 3).

We rationalise the expression by multiplying top and bottom of the fraction by the complement of the denominator.

That is by (√(x + 4) + 3):

       (x^2 - 25)(√(x + 4) + 3)

=   ------------------------------------

     (√(x + 4) - 3)(√(x + 4) + 3)

=   (x + 5)(x - 5)(√(x + 4) + 3)

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

                (x - 5)

= (x + 5)(√(x + 4) + 3).

The limit as this---> 5

is  (5 + 5)(√(5 + 4) + 3)

= 10 * 6

= 60.

Answer:

C,D,E,H 2020 edge

Step-by-step explanation:

I did the assignment

Answer:C D E H

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

7x-7=126

add+7 to 126 and you will get 133

7x/133

x=19

Answer:

x = 19

Step-by-step explanation:

7x - 7 = 126

Add 7 to each side

7x - 7+7 = 126+7

7x = 133

Divide each side by 7 to isolate x

7x/7 = 133/7

x = 19

Answer:

4.1 ; 4.4

Step-by-step explanation:

For min:

x - 4.25 = -0.15

x = 4.1

For max:

x - 4.25 = 0.15

x = 4.4

Answer:

The minimum rainfall expected is 4.1 inches, and the maximum rainfall expected is 4.4 inches.

Step-by-step explanation:

#platofam

Answer:

A = 1

Step-by-step explanation:

[tex] frac. \: \frac{4}{12} = \frac{a}{3} [/tex]

[tex] \frac{ \: \: \: 4 \: \div \: x \: = \: a}{12 \: \div \: x \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: x \: = \: a}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: 4 \: = \: a}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: 4 \: = \: 1}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] a= 1[/tex]

Answer: B

Step-by-step explanation:

Grade must be greater than or equal to 88

Answer:

The answer for this is B

Answer:

14

Step-by-step explanation:

In this case LCM is needed and the LCM of 2and 7 is 14. I hope this helps.

Answer:

the correct one is the quadrilateral with the parallelogram in it the one in the bottom corner under w

Step-by-step explanation:

hope this helps have a great day

Answer:

Part 1) The volume of the storage body is 576 cubic feet

Part 2) To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box

Part 3) Sheila can fit 64 boxes into the truck

Step-by-step explanation:

step 1

Find the volume of the storage body

we know that

The volume of the of the storage body is equal to the volume of two rectangular prism

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

First rectangular prism (top)

[tex]V=(15)(6)(8-6)=180\ ft^3[/tex]

Second rectangular prism (bottom)

[tex]V=(15-4)(6)(6)=396\ ft^3[/tex]

The volume of the storage body is

[tex]V=180+396=576\ ft^3[/tex]

step 2

we know that

To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box

step 3

substitute the given values

[tex]\frac{576}{9}= 64\ boxes[/tex]

therefore

Sheila can fit 64 boxes into the truck

Answer:

8 weeks

Step-by-step explanation:

because you multiply the two books to get the total price then divide by 5 to get how many weeks he has to save 5 dollars

Answer:

.3-.6 ; 0-.6 ; .1-.3 ; 0-.3 ; 0-.1

Step-by-step explanation:

The "points" are:

(0,96.44), (.1,97.6), (.3, 98.57), and (.6, 98.3)

The "rate of change" is the slope. This means that the change from...

0-.1 is (97.6-96.44)/.1 = 1.16/.1= 11.6

0-.3 is (98.57-96.44)/.3 = 2.13/.3 = 7.1

0-.6 is (98.3-96.44)/.6 = 1.86/.6 = 3.1

.1-.3 is (98.57-97.6)/.2 = .97/.2 = 4.85

.3-.6 is (98.3-98.57)/.3 = -.27/.3 = -.9

Answer:

C

Step-by-step explanation:

We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.

3x+4y=8 Equation 1

2x+y=42 Equation 2

Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x

2(3x+4y=8)= 6x+8y=16 Equation 3

3(2x+y=42)= 6x+3y=126 Equation 4

Subtract equation 4 from 3, to eliminate x

6x-6x=0

8y-3y= 5y

16-126= -110

We now have 5y=-110

Divide both sides by 5,

y= -110/5

= -22

Substituting for y in equation 2

2x+(-22)= 42

2x= 42+22

2x=64

x= 64/2

= 32

(x, y)

(32, -22)

Step-by-step explanation:

= -5/8-3/4

= -5-6/8

= -11/8

Answer:-11/8

Step-by-step explanation:

The amount when she is 35 is $8,733.01221.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$4,000 \times (1 + 9.8\%\div 12)^{8\times 12}\\\\= \$4,000 \times (12.098\div 12)^{96}[/tex]

= $8,733.01221

Therefore we can conclude that The amount when she is 35 is $8,733.01221.

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Final answer:

At age 35, Jill's IRA investment, which started with a $4,000 deposit at age 27 and earns 9.8% interest compounded monthly, will be worth approximately $8,159.55.

Explanation:

To determine the future value of Jill's IRA investment, we will use the formula for compound interest, which is A = [tex]P(1 + \(\frac{r}{n}\))^n^t[/tex], where:

P is the principal amount (the initial amount of money)

r is the annual interest rate (decimal)

n is the number of times that interest is compounded per year

t is the time the money is invested for in years

A is the amount of money accumulated after n years, including interest.

In Jill's case, she deposited $4,000 into an IRA at age 27, and we want to find out what it will be worth when she is 35. The annual interest rate is 9.8%, but since it is compounded monthly, we will have to convert this to a monthly rate and adjust the time accordingly

The steps to solve for the amount A are as follows:

Convert the annual interest rate to a decimal: 9.8% = 0.098

Find the monthly interest rate by dividing the annual rate by 12: \[tex](\frac{0.098}{12}\)[/tex]

Calculate the number of years money is invested: 35 - 27 = 8 years

Find the number of times interest is compounded: 12 months/year ×  8 years

Use the compound interest formula to calculate A.

Now, let's do the math:

P = $4,000

r = 0.098 / 12

n = 12

t = 8

A = 4000(1 + [tex]\(\frac{0.098}{12}\))^(12\(\times\)8)[/tex]

Using a calculator we get:

A = $4000(1 + 0.0081667)⁹⁶

A = $4000(1.0081667)⁹⁶

A = $4000 [tex]\(\times\)[/tex] 2.0398873

A ≈ $8,159.55

Therefore, at age 35, Jill's IRA investment will be worth approximately $8,159.55.

[tex]9x +30\geq 30[/tex]

Solution:

Given that,

Translate the sentence into an inequality

The sum of a number times 9 and 30 is at least - 15

Let "c" be the unknown variable

"at least" means "greater than or equal to"

From given,

sum of a number times 9 and 30 = 9x + 30

Which means,

[tex]9x +30\geq 30[/tex]

Thus the given sentence is translated into inequality

The sentence 'The sum of a number times 9 and 30 is at least - 15' can be translated into the inequality

The sentence 'The sum of a number times 9 and 30 is at least - 15' can be translated into an inequality by first recognizing the mathematical operations being described. The phrase 'a number times 9' is multiplication, so let's represent this number with the variable c. Thus, this part is 9c. The word 'sum' represents addition. Finally, 'is at least' indicates that the sum is greater than or equal to a particular value (-15 in this case).

Putting these elements together, we get the inequality

This is the inequality that represents the sentence.

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The value of each trigonometric ratio is

[tex]$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17}, \ \tan A =\frac{15}{8}[/tex]

[tex]$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8}, \ \cot A =\frac{8}{15}[/tex]

Solution:

The given triangle is right triangle.

AC (hypotenuse) = 34, AB (adjacent) = 16, BC (opposite) = 30

To find the trigonometric ratios:

Using trigonometric formulas for right triangle,

[tex]$\sin \theta=\frac{\text { opposite }}{\text { hypotenuse }}[/tex]

[tex]$\sin A=\frac{BC}{AC}[/tex]

[tex]$\sin A=\frac{30}{34}=\frac{15}{17}[/tex]

[tex]$\cos \theta=\frac{\text { adjacent }}{\text { hypotenuse }}[/tex]

[tex]$\cos A=\frac{AB}{AC}[/tex]

[tex]$\cos A=\frac{16}{34}=\frac{8}{17}[/tex]

[tex]$\tan \theta=\frac{\text { opposite }}{\text { adjacent }}[/tex]

[tex]$\tan A=\frac{BC}{AB}[/tex]

[tex]$\tan A=\frac{30}{16}=\frac{15}{8}[/tex]

[tex]$\csc A =\frac{1}{\sin A}[/tex]

[tex]$\csc A =\frac{17}{15}[/tex]

[tex]$\sec A =\frac{1}{\cos A}[/tex]

[tex]$\sec A =\frac{17}{8}[/tex]

[tex]$\cot A =\frac{1}{\tan A}[/tex]

[tex]$\cot A =\frac{8}{15}[/tex]

Hence the value of each trigonometric ratio is

[tex]$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17}, \ \tan A =\frac{15}{8}[/tex]

[tex]$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8}, \ \cot A =\frac{8}{15}[/tex]

Answer:

an angle that is larger than 180 degrees but is smaller than 360 degrees

Answer:

A reflex angle is any angle larger than 180 degrees and smaller than 360 degrees.

Step-by-step explanation:

Angle one is the Angle of incidence, Angle two is the Angle of reflection, and Angle one is equal to Angle two.

Answer:

25.1

Step-by-step explanation:

the formula for the area of a circle is A=3.14(pi)r² or A=3.14(pi)d

r = radius d = diameter

so

a = 3.14d

a= (3.14)(8)

a= (25.12) rounded to the nearest tenth = 25.1

hope this helps

Answer:

None of the above

Step-by-step explanation:

The common ratio 10 means we are starting with 4.5 and multiplying that by 10 each time:

4.5*10=45

45*10=450

450*10=4500

As you can see, this does not match any of the answers

Answer:

hey

Step-by-step explanation:

angle 7x-9 +angle 4x=90°

11x=90+9

11x=99

x= 9°

Answer:

∠CBD = 54°

Step-by-step explanation:

∠ABC = 90°

∠ABD + ∠CBD = ∠ABC

4X + 7X -9 = 90

11X = 90+9

11X = 99

X = 99/11

X=9°

∠CBD = (7X -9)° = 7 * 9 - 9 = 63-9 = 54°

Answer:

The equations that does fit would be 8x+128=200, 8x=72. I don't know your answer choices but these are the equations that does fit so read what I wrote :)

Step-by-step explanation:

The equation would be 8x = 200 but knowing that he has already sold 16T shirts it should be 8x + 16*8 = 200 -> 8x+128 = 200 or 8x = 72. so x would be 9.

Answer:

Mean = 22.5

MAD = 7.5

Step-by-step explanation:

Mean = 135/6

= 22.5

|x-22.5|

= 12.5, 7.5, 2.5, 2.5, 7.5, 12.5

MAD = 45/6 = 7.5

Answer:

14n+5

Step-by-step explanation:

Five more is +5

Product of 14 and a number would be 14n

So combined would be 14n+5

By using the formula (Area = Length x Width) we can rearrange the equation to find the height of the rectangular poster. It comes out to be 4 feet.

To answer your question, we must use the formula for the area of a rectangle, which is Area = Length x Width. Here, the area of the poster is given as 38 square feet and the width is 9.5 feet. The length is what we're trying to find. We can set this up as an equation 38 = Length x 9.5. To find the Length, we divide both sides of the equation by 9.5 resulting in Length = 38 ÷ 9.5. Solving the equation gives us a length of approximately 4 feet. So, the 'height' of the poster would be 4 feet.

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Answer:

Step-by-step explanation:

55