the number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater
2 answers:
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Answer:
Step-by-step explanation:
The initial amount invested is P0
Say it is compounded periodically either quarterly or monthly or semi annually with interest r%
If for a period interest is r%
Then after first period principal = principal+simple interest
=
where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc
At the end of II period we have
Principal =
So for interest again the process is repeated
Thus we repeat this nt times which result in power with nt
Hence the formula
Step-by-step explanation:
First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:
Let's solve this, to find X:
Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:
To find y, let's rearrange:
And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):
For this case we have the following functions:
The first thing we must do for this case is to subtract both functions.
We have then:
Substituting we have:
Rewriting we have:
Evaluating the obtained function for x = 3 we have:
Answer:
The value of the function evaluated at x = 3 is: