All categories

3 years ago

Please help us with this and please include work

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

Answer:

h + p ≤ 15

$50h + $500p ≥ $2500

Step-by-step explanation:

The store can ship at most 15 items per day.

The number of items must be 15 or less.

The items are headphones (h) and pianos (p), so, one of the conditions is

h + p ≤ 15

Each headphone is $50, so the money from headphones is $50h.

Each piano is $500, so the money from pianos is $500p.

The total money from headphones and pianos is $50h + $500p.

This money must be at least $2500, that is, it could be $2500 or more .

The second condition is

$50h + $500p ≥ $2500

The two inequalities are

h + p ≤ 15

$50h + $500p ≥ $2500

B and C are <em>wrong</em>, because the store can ship a maximum of 15 items per day.

D is <em>wrong</em>, because the store must make at least $ 2500 per day.

You might be interested in

Cot theta= 0 what is the value

lana [24]

The Answer:<span>a=<span>0<span>2.718282

</span></span></span>

3 0

3 years ago

What is the answer to this problem?

Rufina [12.5K]

It increases then decreases then becomes constant

4 0

3 years ago

Which figure has the same area as the parallelogram shown below? A. A triangle with a base of 4 mm and a height of 20 mm B. A tr

Arisa [49]

<h2>Answer: A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of $80mm^{2}$ , according to the following formula, which works for all rectangles and parallelograms:

$A_{parallelogram}=(b)(h)$ (1)

Where $b$ is the base and $h$ is the height

The<u> area of a triangle</u> is given by the following formula:

$A_{triangle}=\frac{1}{2}(b)(h)$ (2)

So, for option A:

$A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}$

Now, the <u>area of a trapezoid </u>is:

$A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)$ (3)

For option B:

$A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}$

For option C:

$A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}$ >>>>This is the correct option!

For option D:

$A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}$

<h2>Therefore the correct option is C</h2>

5 0

3 years ago

P=$222 r=12% Y=10 A=?

sergey [27]

To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
I = Interest

or you can use

A = P (1+ rt)

Where: P = principal
r = rate in decimal
t = time in years

With your given you can use the second one, without having to use the first.
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12.

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
= $222(1 + (0.12)(10))
= $222(2.2)
= $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
= $488.40 - $222
= $266.40

$266.40 is the added interest to the principal amount.

7 0

3 years ago

12^x-2=20 solve for x

ioda

Your answer is x=1.243927

7 0

3 years ago