Calculate the amount of money you'll have at the end of the indicated time period, assuming that you earn simple interest. You
1 answer:
Answer:
The amount of money you'll have at the end of the years is 6460 dollars
Step-by-step explanation:
The total principal sum of money deposited = dollars
The annual rate of interest is %
The time period for which the amount is invested years
As we know
where A is the amount after 20 years
P is the principal sum of money
r is the rate of interest and
t is time period in years
Substituting the given values in above equation, we get -
dollars
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Answer:
N(1)=50 is a minimum
N(15)=4391.7 is a maximum
Step-by-step explanation:
<u>Extrema values of functions </u>
If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.
We are given a function (corrected)
(a)
First, we take its derivative
Solve N'(t)=0
Simplifying
Solving for t
Only t=1 belongs to the valid interval
Taking the second derivative
Which is always positive, so t=1 is a minimum
(b)
N(1)=50 is a minimum
(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15
(d)
N(15)=4391.7 is a maximum