Write an expression that is equivalent to 4.5 raise to the power of 5

The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was

arlik [135]

Answer: $163.85

Explanation:

1) Data:

Purchase price: $ 113.00

mark up: 45%

2) Formula

selling price = purchase price + mark up

mark up = % * purchase price

3) Solution

mark up = 45% * $ 113.00 = 0.45 * $ 113.00 = $50.85

selling price = $ 113.00 + $ 50.85 = $ 163.85

Answer: $ 163.85

5 0

4 years ago

Read 2 more answers

One month Tammy rented 2 movies and 3 video games for a total of $25. The next month she rented 4 movies and 8 video games for a

mojhsa [17]

Answer:

cost of each video game = $5.50

cost of each movie = $4.25.

Step-by-step explanation:

Let m represent cost per movie

g represents cost per video game.

Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:

First month:

$2m + 3g = 25$ => equation 1

Second month:

$4m + 8g = 61$ => equation 2

Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:

4 × $2m + 3g = 25$

2 × $4m + 8g = 61$

$8m + 12g = 100$ => equation 3

$8m + 16g = 122$ => equation 4

Subtract equation 4 from equation 3

You'd have:

- 4g = - 22

Divide both sides by -4

g = 5.5

Thus, the cost of each video game = $5.50.

Substitute g = 5.5 in equation 1 and solve for m.

$2m + 3g = 25$

$2m + 3(5.5) = 25$

$2m + 16.5 = 25$

Subtract 16.5 from each side

$2m = 25 - 16.5$

$2m = 8.5$

Divide both sides by 2

$m = 4.25$

Thus, cost of each movie = $4.25.

5 0

3 years ago

consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is

Sedaia [141]

Answer:

All three operations lead to polynomials.

See explanations below.

Step-by-step explanation:

Polynomial a = $3x^2(x-1)=3x^3-3x^2$

Polynomial b = $-3x^3+4x^2-2x+1$

Therefore:

a + b = $3x^3-3x^2+(-3x^3+4x^2-2x+1)=\\=3x^3-3x^2-3x^3+4x^2-2x+1=\\=x^2-2x+1$

where we have combined all like terms. This is clearly another polynomial (of grade 2)

a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol): $3x^3-3x^2-(-3x^3+4x^2-2x+1)=\\3x^3-3x^2+3x^3-4x^2+2x-1=\\6x^3-7x^2+2x-1$

which is clearly another polynomial (but of grade 3)

a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)

$(3x^3-3x^2)*(-3x^3+4x^2-2x+1)=\\-9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2=\\-9x^6+21x^5-18x^4+9x^3-3x^2$ which is indeed another polynomial (this time of grade 6)