All categories

3 years ago

A furniture store pays a certain amount for a mattress, called the wholesale price.

Mathematics

1 answer:

nata0808 [166]3 years ago

5 0

Answer:

$1600

Step-by-step explanation:

The $800 that the customer paid is 50% of the retail price, so the retail price is twice that amount:

$800/0.50 = $1600

The selling price of the mattress before the discount was $1600.

Additional comment

The wholesale price was $1600/2.25 = $711.11

You might be interested in

Helppp please I have a 25 in math

WARRIOR [948]

Answer:
Can’t see anything , everything is blury

4 0

3 years ago

Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

3 0

3 years ago

Two sides of an isosceles triangle have lengths of 3 and 10. Find the length of the third side.

lora16 [44]

Answer:

The third side must be 10: {3, 10, 10}; {10, 3, 3} is not possible.

Step-by-step explanation:

Everything depends on our understanding of "isosceles."

This term indicates that two sides of a given triangle are equal.

If two sides of an isosceles triangle have lengths of 3 and 10, then:

Either 1) Two sides have length 10 and the third side has length 3. This is certainly possible

2) sides have length 3 and the third side has length 10. This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.

8 0

3 years ago

Teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle Schoo

tekilochka [14]

20 o/o fndjdndbbbbbndndn

5 0

3 years ago

List the following fractions from least to greatest. 1/7, 6/7, 4/7, 3/7. Ignore that I chose an answer, I accidentally clicked i

Mumz [18]

Answer:

Step-by-step explanation:

your answer was right XD its 1/7 3/7 4/7 6/7

7 0

3 years ago