Pls help on #10 will give brainliest
1 answer:
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Answer:
y = sin(x- pi/2)
Step-by-step explanation:
Please see the attached image to see your graphs.
By simple inspection we can see that the sine is shifted pi/2 to the right.
We know this because sines are periodic functions with a period T = 2*pi
We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.
And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.
Step-by-step explanation:
- Natalie has $5000
- She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.
Part a) What type of exponential model is Natalie’s situation?
Answer:
As Natalie's situation implies
- continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.
So, it requires the more generalized version of the principal calculation formula such as:
or
Here,
= interest rate
= number of compounding periods
= time period in years
Part b) Write the model equation for Natalie’s situation?
For continuous compounding the number of compounding periods, , becomes infinitely large.
Therefore, the formula as we discussed above would become:
Part c) How much money will Natalie have after 2 years?
Using the formula
$₂ $
So, Natalie will have $ after 2 years.
Part d) How much money will Natalie have after 2 years?
Using the formula
$₁₀ $
So, Natalie will have $ after 10 years.
Keywords: word problem, interest
Learn more about compound interest from brainly.com/question/6869962
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