Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much does she pay?

Answers

Answer 1

Answer:

The cost of the sweater is given by the equation A = $ 40.69

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the sweater be represented as A

Now , the equation will be

The cost of sweater without discount and sales tax = $ 47.99

The discount percentage = 20 %

The cost of sweater after discount = 47.99 - ( 20/100 ) x 47.99

On simplifying the equation , we get

The cost of sweater after discount = 47.99 - 9.598

The cost of sweater after discount = $ 38.392

Now , the percentage of sales tax = 6 %

The cost of sweater after sales tax = 38.392 + ( 6/100 ) x 38.392

On simplifying the equation , we get

The cost of sweater after sales tax = 38.392 + 2.30352

The cost of sweater after sales tax = $ 40.695

Therefore , the value of A is $ 40.69

Hence , the final cost of the sweater is $ 40.69

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Answer 2

Answer: First calculate what the coupon does for Camille
so multiply %20 by the cost or .2(47.99)=9.598 which rounds to 9.60 meaning she still paid $38.39
Then calculate sales tax by multiplying her clearance price by %6 and adding it on the cost
.06(38.39)= 2.3034 which rounds to $2.30 in tax.
Add that onto the clearance price 38.39+2.30=$40.69
So her total cost was $40.69

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Elisha is a photographer and charges a set fee to photograph weddings. This is an example of _____ income.a. capital gains

b. earned

c. hourly

d. passive

Answers

If Elisha is a photographer and charges a set fee to photograph weddings, this is an example of passive income

Passive income

A passive income is an income that is unstable. Most passive incomes are generated from a business or side hustle.

For Elisha, he is into photography and the money he will generate from such will be a passive income.

Hence if Elisha is a photographer and charges a set fee to photograph weddings, this is an example of passive income

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Answer:

Step-by-step explanation:

Earned

a bike rider is traveling at a speed of 15 feet per second write an expression for the distance the rider has traveled after s seconds make a tabel that records the distance for 3.0,5.8,11.1,and 14.0 seconds

Answers

distance = speed x time

distance time
45 ft 3.0 s
87 ft 5.8 s
166.5 ft 11.1 s
210 ft 14.0 s

Final answer:

The expression for the distance traveled by the bike rider can be found using the formula Distance = Speed × Time. The table shows the distances traveled for different values of s.

Explanation:

To find the expression for the distance traveled by the bike rider after s seconds, we use the formula: Distance = Speed × Time. In this case, the speed of the rider is 15 feet per second. So the expression for the distance traveled after s seconds would be: Distance = 15s feet.

To create a table that records the distance for different values of s, we substitute the given values of s into the expression to find the corresponding distance. Here is the table:

After 3.0 seconds, the distance traveled is 15 × 3.0 = 45 feet.
After 5.8 seconds, the distance traveled is 15 × 5.8 = 87 feet.
After 11.1 seconds, the distance traveled is 15 × 11.1 = 166.5 feet.
After 14.0 seconds, the distance traveled is 15 × 14.0 = 210 feet.

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Which algebraic expression is a polynomial with a degree of 5?3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Answers

The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4

Answer:

$2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4$

Step-by-step explanation:

Since, the highest degree in a polynomial is called the degree of the polynomial,

While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.

In $3x^5 + 8x^4y^2 - 9x^3y^3 - 6y^5$ ,

Sum of exponents are 5, 6, 6, 5,

So, degree of the polynomial is 6.

In $2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4$ ,

Sum of exponents are 5, 5, 5, 4,

So, degree of the polynomial is 5.

In $8y^6 + y^5 - 5xy^3 + 7x^2y^2 - x^3y - 6x^4$ ,

Sum of exponents are 6, 5, 4, 4, 4, 4

So, degree of the polynomial is 6.

In $-6xy^5 + 5x^2y^3 - x^3y^2 + 2x^2y^3 -3xy^5$ ,

Sum of exponents are 6, 5, 5, 5, 5

So, degree of the polynomial is 6.

Find the equation of the circle that satisfies the given conditions. Radius 2 and center (4, -7)?

Answers

$The\ equation\ of\ the\ circle:\n\n(x-a)^2+(y-b)^2=r^2\n\nwhere\n\ncenter:(a;\ b)\n\nradius:r$

$Center:(4;-7);\ radius:r=2\n\n(x-4)^2+(y+7)^2=2^2\n\n(x-4)^2+(y+7)^2=4$

Identify the transformation.

Answers

Answer:

C) translation 5 united left, 1 unit up

Step-by-step explanation:

to figure this out you can take one point and translate it into 5 units left and 1 up and it will be in the spot of the new figure, Reflection and rotation are not correct because the figure would be oriented differently, and it is not D because the figure with ' is the new transformation

A Nashville-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer randomly selects which songs to play. The songs themselves are picked randomly, and the same song may be played many times in a row. In the set of songs, 45% are sung by a female singer, 45% are sung by a male singer, and 10% are instrumental with no vocals. What is the probability that a particular set of 3 songs contains exactly 2 female singers and 1 male singer? (Hint: Be aware that there are multiple ways to achieve this pattern of songs.)

Answers

The answer is 27.3375%.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the possibilities of each event are multiplied.

So, we have three events occurring simultaneously:

1. set contains female singer: 45% = 0.45

2. set contains female singer: 45% = 0.45

3. set contains female singer: 45% = 0.45

Also, it should be taken into consideration that there are three set combinations:

female-female-male,

female-male-female,

male-female-female

So, the probability for one set of the song is:

0.45 × 0.45 × 0.45 = 0.091125

Therefore, the probability is multiple ways to achieve this pattern of songs):

3 × 0.091125 = 0.273375 = 27.3375%.