Estimate the local maximum of...

Option A.

Step-by-step explanation:

The given equation is

     ...(1)

We need to find the local maximum.

Differentiate the given equation w.r.t. x.

      ...(2)

Now, equate y'=0 to find the extrem points.

Differentiate (2) w.r.t. x.

For ,

maximum

For ,

minimum

So, the given equation has local maximum at x=-1/3 and the maximum value is

The local maximum at (-0.33,9.48).

Hence, the correct option is A.

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;