danielahchf
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The value of Jon’s stock portfolio is given by the function
v(t) = -3t^2 + 60t + 44
where v is the value of the portfolio in thousands of dollars and t is the time in months. What is the maximum value of Jon’s stock portfolio?

The value of Jons stock portfolio is given by the function vt 3t2 60t 44 where v is the value of the portfolio in thousands of dollars and t is the time in mont class=

Respuesta :

sqdancefan

Answer:

$344,000

Step-by-step explanation:

A graphing calculator shows the vertex of the function to be v(10) = 344, corresponding to a value of $344,000.

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Or, you can put the function in vertex form like this ...

v(t) = -3(t^2 -20t) +44

= -3(t^2 -20t +100) +300 +44 . . . . subtract and add 300

v(t) = -3(t -10)^2 +344 . . . . . . . . . . the vertex is (10, 344)

The maximum value of Jon's stock portfolio is $344,000.

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