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3 years ago

A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 5%, what is the total price of the CD, including tax?

Mathematics

1 answer:

dybincka [34]3 years ago

5 0

Answer:

The total price of the CD is $14.18

Step-by-step explanation:

Percentages

We can compute additive or subtractive percentages by using these formulas. If we have a number X and want to increase it by Y%, then the increase is xY/100. Thus the new value for the number is x+xY/100 or equivalently

$X(1+Y/100)$

If we want to decrease by Z%, the new value is

$X(1-Z/100)$

The regular price for a CD is X=$15. The CD is Z=10% off, so the sale price is

$15(1-10/100)=\$13.5$

But we have to add the tax of Y=5%, so the final value is

$13.5(1+5/100)=\$14.18$

The total price of the CD is $14.18

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3. What amount of money is necessary to be invested at 5% simple interest to yield $320 in interest after 4 years?

Simora [160]

Answer:

$Amount = \$1920$

Step-by-step explanation:

Given

$Interest =\$320$

$Rate = 5\%$

$Years = 4$

Required

Determine the invested amount

First, we need to determine the Principal

This is calculated as:

$Interest = Principal * Rate * Time$

Solve for Principal

$Principal = \frac{Interest}{Rate * Time}$

$Principal = \frac{\$320}{0.05 * 4}$

$Principal = \frac{\$320}{0.2}$

$Principal = \$1600$

Add the principal to the interest

$Amount = Principal + Interest$

$Amount = \$1600 + \$320$

$Amount = \$1920$

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3 years ago

What is the value of x in the linear equation below? 5 + ax - 8x + 11 - bx

ivanzaharov [21]

Nothing can be further done with the linear equation

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4 years ago

The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first

Ivan

Sum of n terms in a geometric progression is given by Sn = a1 (1 - r^n) / (1 -r)

3( 1 - 4^6) / (1-4)

= 4,095

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3 years ago

A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it’s width. The total area of th

steposvetlana [31]

The width of the rug is 3 inches

Step-by-step explanation:

A knitter wants to make a rug for a dollhouse

The length of the rug will be 2 inches more than it’s width
The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
The desired area of the rug is 15 square inches

We need to find the width of the rug

∵ The area of the rug is A(w) = w(2 + w)

- Simplify the right hand side

∴ A(w) = 2w + w²

∵ The desired area of the rug is 15 square inches

- Equate A(w) by 15

∴ 2w + w² = 15

- Subtract 15 from both sides

∴ 2w + w² - 15 = 0

- Its a quadratic equation arrange its terms from the greatest power of x

∴ w² + 2w - 15 = 0

Factorize it into two binomial factors

∵ w² = w × w

∵ 15 = 3 × 5

∵ 5w - 3w = 2w

∴ w² + 2w - 15 = (w -3)(w + 5)

∴ (w - 3)(w + 5) = 0

- Equate each factor by 0

∴ w - 3 = 0 OR w + 5 = 0

∵ w - 3 = 0

- Add 3 to both sides

∴ w = 3

∵ w + 5 = 0

- Subtract 5 from both sides

∴ w = -5 ⇒ rejected because no dimension with -ve value

∴ w = 3 only

The width of the rug is 3 inches

Learn more:

You can learn more about the quadratic equation in brainly.com/question/9328925

#LearnwithBrainly

8 0

3 years ago

Jessica made 124 cookies. She put the cookies into three boxes, A, B and C.

Oxana [17]

There are 78 cookies in box C, 26 cookies in box B and 10 cookies in box A.

let the number of cookies in first box be represented mathematically as B-16

the number of cookies in second box be represented as B

the number of cookies in third box be represented as 3B

Since there are 124 cookies we can make an equation such that it becomes

B-16 +B +3B =124

Solving for B, we have

5B -16 =124

5B =124 +16

5B =130

B=130/5

B=26

Therefore Box A contains B-16 =26-16 =10 cookies

Box C contains 3B =3 X 26=78 cookies

See similar question here: brainly.com/question/23505776

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2 years ago