If $240 is invested at an interest rate of 9% per year and is compounded monthly, how much will the investment be worth in 14 ye
2 answers:
Answer:
Option
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
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Period of parent sine function is 2π.
This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2
Thus, our function will be of the form:
Maximum Value = 10
Minimum Value = -4
Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7
Thus, the function will be of the form:
The function has a y-intercept other than zero, this means the function will be of the form:
The y-intercept is 3. This means for x=0, y=3. Using the values, we get:
Thus the equation of the sinusoidal function becomes: