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3 years ago

7

An furniture salesperson sells a couch for $1,560. She receives a 2.75% commission on the sale of the couch. How much did she ea

rn on the sale?
Round your answer to the nearest cent.

Enter your answer in the box.

2 answers:

rosijanka [135]3 years ago

8 0

Answer:

yes its 42.90

Step-by-step explanation: i took the test:)

dalvyx [7]3 years ago

7 0

Yes, the answer is $42.90!

You might be interested in

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

4 0

3 years ago

Which equation represents a line that passes through (2, –0.5) and has a slope of 3?

Kitty [74]

A slope of 3 means the gradient is 3 so we get y=3x+c as derived from the linear formula. we then sub in x=2 and y=-0.5. this gives us c=-6.5.

The equation would be y=3x-6.5

I think this is right.

4 0

3 years ago

Read 2 more answers

Which real numbers are zeros of the function?

monitta

<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.

6 0

3 years ago

Help me pls and pls show work

EleoNora [17]

Answer:

if you need it as improper then 25/12

Step-by-step explanation:

5 0

3 years ago

ANSWER THIS PLEASE ASAP

Talja [164]

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

$\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69$ Get a common denominator. 24 would work, 48 also.

$48(\frac{x}{2} +\frac{x}{3} +\frac{x}{8} ) = 48(69)$

24x + 16x + 6x = 3372

46x = 3372 x = 72

Proof: calculate the number of each kind of trough

Horses 72/2 = 36, Cows 72/3 = 24 Pigs 72/8 = 9 36+24+9 = 69

part b. 5c + 3k = 92, c + k = 20 Rearrange to get a value for c to substitute.

c = 20-k 5(20-k) +3k =92 Distribute and solve

100 - 5k + 3k = 92 becomes -2k = -8 so k = 4 Substitute into the original

c + 4 = 20 becomes c=20-4, so c = 16

Proof: 5c +3k = 92 Substitute values 5(16) + 3(4) = 92 80 + 12 = 92

6 0

2 years ago