Answer:
<em>Answer: C</em>
Step-by-step explanation:
<u>The Cosine Function</u>
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
Thus:
Therefore, the equation of the sinusoid is:
Answer: C
Slope intercept form is : y = mx + b
as shown the line passes through (0,-3) so the y intercept is -3
The line now is y= mx - 3
the line passes through (4,-2) so substitute x=4, y = -2 to y=mx - 3, we have:
-2 = 4m -3 so m= 1/4
Ans: y = 1/4x -3
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Answer:
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Step-by-step explanation:
Answer:
The answer is five
Step-by-step explanation:
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Answer:
= A(t) = 120000(1.06)^t t = 1 year
We just add ^12 to equal 1/12 months.
Then use the notation below.
Step-by-step explanation:
We simply want to write an equivalent form of the same equation that will allow for the time period to be calculated in years.
For one year, t = 1, we want it to grow 6% = 1.06
Yearly Rate of Growth annual equation: = 7200
P(i) 7200/ 120000 x 100% = 6% per year growth rate
the yearly growth factor is 1 + appreciation rate = 1+i =1+0.06= 1.06
So time in years can be added to t
= A(t) = 120000(1.06)^t t = 1 year
The yearly growth factor = 1.06
To equate monthly we add the exponent t*12*1/12 before 120000(1.06)^t
then add 1/12 to replace ^t = monthly, or just keep the t= time
A(t) = 120000(1.06)^12t
