Answer:
FV= $70,887.15
Step-by-step explanation:
<u>First, we need to calculate the future value of the $130 deposit for 5 years:</u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
<u>Now, using the following formula, the future value of the investment after 25 years:</u>
<u />
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
y = 4 sin(t/2 + 4π/3) − 2
General form:
y = a sin(2π/T t)
Given a = 4 and T = 4π:
y = 4 sin(2π/(4π) t)
y = 4 sin(t/2)
Add horizontal shift of -4π/3 and vertical shift of -2:
y = 4 sin(t/2 − (-4π/3)) − 2
