The number of days d, he must use the gym to make the membership worthwhile is at least 21 days
Equation
Non members:
Cost of swimming per day = $5
Cost of exercise per day = $9
Total = $5 + $9
= $14
Members:
Yearly fee = $300
Exercise fee per day = $4
Swimming fee = $0
The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14
= 21.42857142857142
Approximately,
21 days
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$990
550 x .80 = 440
$550 + $440 = $990
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
