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OverLord2011 [107]
3 years ago
8

there is an invitation fee to join the pine river country club, as well as monthly dues. the total cost after 7 months membershi

p will be $3,125, and after 1.5 years, $4,060. Find both the intuition fee and monthly dues
Mathematics
1 answer:
Bumek [7]3 years ago
4 0
1.5 year is also 17 months. so 4060-3125=935 which equals 10 months, then 935÷10=93.5 which gives us the monthly dues. Then 93.5×7=654.5 which gives us the total of monthly dues for 7 months without the intuition fee. Then 3125-654.5=2470.5 that gives us the intuition fee.

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
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Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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Step-by-step explanation:

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Answer

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