Answer:
Step-by-step explanation:
Compoud interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. the formula is:
By applying the wanted transformations, we will get the functions:
3) g(x) = 3x
4) g(x) = 5x
<h3>
How to write vertical stretch and compression?</h3>
For a given f(x), we define a vertical stretch of scale factor k as:
g(x) = k*f(x)
While a vertical compression of scale factor k is written as:
g(x) = f(x)/k.
Here our function is y = f(x) = x
3) First, we want to apply a vertical stretch of scale factor of 3, so we will get:
g(x) = 3*f(x) = 3*x
4) Now we want to apply a vertical compression of scale factor of 1/5, then the function will be:
g(x) = 5*f(x) = 5x
If you want to learn more about transformations:
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Answer:
0.009 units in the positive y direction.
Step-by-step explanation:
Vertical shift is simply the value of the constant.
In this case, if you expand the formula by multiplying 0.9 into the parentheses,
y = 0.9 sin [(π/3) - x] + (0.9)(0.01)
y = 0.9 sin [(π/3) - x] + 0.009
Here the value of the constant is 0.009 and it is positive, hence the vertical shift is 0.009 units in the positive y direction.
Answer: log₂ + 1 = n
<u>Step-by-step explanation:</u>
h(n) = 6 * 2ⁿ⁻¹
<u> ÷6 </u> <u>÷6 </u>
= 2ⁿ⁻¹
log₂ = log₂(2ⁿ⁻¹) →→<em>log₂2 cancels out</em>
log₂ = n - 1
log₂ = n