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First, multiply $3 by 4 to get $12 spent on cookies. Then, you multiply $12 by 2 to know that the pies cost $24. You then divide the $24 by 3 to get $6 per pie. Meaning, each pie had cost $6. You add the $12 and $24 together to get $36. Finally, you subtract $36 from $40 to know that she only has $4 left.
Answer:
The amount at the end of second quarter is $1842.704
Step-by-step explanation:
Given as :
The principal in saving account = $1640
The rate of interest = 6 % compounded quarterly
The time period = 6 months
Now,<u> from compounded method</u>
The amount at the end of first quarter =
= principal + 6 % of principal
I.e
= $1640 + 6 % × $1640
Or,
= $1640 + $ 98.4
∴
= $1738.4
Again ,
The amount at the end of second quarter =
=
+ 6 % of
I.e
= $1738.4 + 6 % × $1738.4
Or,
= $1738.4 + $104.304
∴
= $1842.704
So, The amount at the end of second quarter =
= $1842.704
Hence , The amount at the end of second quarter is $1842.704 Answer
For the function to be differentiable, its derivative has to exist everywhere, which means the derivative itself must be continuous. Differentiating gives

The question mark is a placeholder, and if the derivative is to be continuous, then the question mark will have the same value as the limit as

from either side.


So the derivative will be continuous as long as

For the function to be differentiable everywhere, we need to require that

is itself continuous, which means the following limits should be the same:



So, the function should be

with derivative
20.00
I hope this helps :)