Given an exponential function for compounding interest, A(x) = P(.95)x, what is the rate of change?
2 answers:
Answer:
Option 3
The rate of change is -5%
Step-by-step explanation:
Given : An exponential function for compounding interest,
To find : What is the rate of change?
Solution :
The general form of an exponential function is:
Where, a is the initial amount,
(1+r) is the rate of change,
r is the growth or decay factor
We have given,
Rate of change is
Convert to percent,
Therefore, Option 3 is correct.
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Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.