Ms. Ling purchases a new car for $32,000 and finances it with a 6-year simple interest loan at an annual rate of 4.25%. What are
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Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
If 
, then
. So, in the first gap you can write 5 and in the second you can write -4.
Since
, the minimum value of y is when 
. The solution of the last equation is x=-5 and then y=-4 -- these are numbers, which you can write in the third and fourth gaps.
Since
Answer:
<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>Step-by-step explanation:
Annual interest rate is 2.75%. Hence, the monthly interest rate is
The amount will be compounded times.
Every month they deposits $500.
In the first month that deposited $500 will be compounded 240 times.
It will be
In the second month $500 will be deposited again, this time it will be compounded 239 times.
It will give
Hence, the total after 20 years will be