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3 years ago

Philip saves $8 each month. How many months will it take him to save at least $60?

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

7.5 months for him to save up to 60 ;)

Kay [80]3 years ago

4 0

7.5 months to save up to $60 because 7.5x8=60 but rounding up to the nearest whole it would be 8 months

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The absolute maximum and minimum is $20\; \text{and} -20.$

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We first check the critical points on the interior of the domain using the

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$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

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$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

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