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Oxana [17]
3 years ago
11

Amelia worked for 5 hours and 30 minutes. how should she write that on her time card?

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
5 hours and 30 minutes or 5.5 hours
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The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug
ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0
3 years ago
Please help me :)), do not 'troll' with answers, it's graded...
wolverine [178]

The first one, decreasing then increasing

4 0
3 years ago
What is the slope of a line perpendicular to the line is question is 3x-3y=54? fully reduce your answer. (it’s not 1)
neonofarm [45]

Answer:

-1

Step-by-step explanation:

Has to be the opposite

4 0
3 years ago
Read 2 more answers
A parking lot covers 32,420 square feet. What is its area to the nearest thousand feet? Explain how you round the number.
REY [17]
The thousands place (1000) is the fourth number to the left of the decimal, so round that one either up or down based on the number just one spot closer to the decimal, in this case, the hundreds place (100).

so we have 32,420

we can ignore the numbers that are going to become zeros as a result of the rounding . .

32,400

let's round 32,XXX either up or down based on the value in the hundreds place. if that value is 5 or greater, than we round up. if it is less than 5, than we round down.

4 is in the hundreds place, so we round down

32,000 is the answer
8 0
3 years ago
Could some one plz help me with this question
zhuklara [117]

Answer:

A

Step-by-step explanation:

The formula for this type of interest is A=P(1+\frac{r}{n})^{nt}, where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

A=1800(1+\frac{0.025}{2})^{2\cdot 12}=

1800(1.0125)^{24}\approx 2425.23

Now, she invests this into a new account, and you can set up the following equation:

A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=

2425.23(1.0033333)^{84}\approx 3207.40, or option A.

Hope this helps!

3 0
3 years ago
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