What is the period of the function f(x)=3sin(2x-1)+4
1 answer:
Coefficients, constant doesn't matter in period. only the "argument" or parameters or the angle matters.
if has a period $T$ then $cf(ax+b)+d$ will have period of $\frac Ta$ (nothing matters other than that), $T$ is the fundamental period.
$\sin(x)$ has fundamental period is $2\pi$ so period of $fx)$ will be $\pi$
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Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:
Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.