20,146,974. 78,901,234. 46,123,086.
76,543,218. 54,876,547
45.5%, or 4.55, for 455/1000.
91/200
Answer. Triangle ABD
Explanation: There’s no thinking in this, because you can use your eyes to look for the answer. Not all questions will have this type of question. But they do seem pretty similar to me.
Answer:
See Explanation
Step-by-step explanation:
Given
New function: ![y = 3 \cos(10 (x -\pi))](https://tex.z-dn.net/?f=y%20%3D%203%20%5Ccos%2810%20%28x%20-%5Cpi%29%29)
We can assume the parent function to be:
![y = \cos (x)](https://tex.z-dn.net/?f=y%20%3D%20%5Ccos%20%28x%29)
The new function can be represented as:
![y = A*\cos((\frac{2\pi}{B})(x-c))](https://tex.z-dn.net/?f=y%20%3D%20A%2A%5Ccos%28%28%5Cfrac%7B2%5Cpi%7D%7BB%7D%29%28x-c%29%29)
Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
to ![y = 3 \cos(10 (x -\pi))](https://tex.z-dn.net/?f=y%20%3D%203%20%5Ccos%2810%20%28x%20-%5Cpi%29%29)
![A = 3](https://tex.z-dn.net/?f=A%20%3D%203)
![c = \pi](https://tex.z-dn.net/?f=c%20%3D%20%5Cpi)
![\frac{2\pi}{B} = 10](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7BB%7D%20%3D%2010)
Solve for B
![B = \frac{2\pi}{10}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B10%7D)
Using the calculated values of
This implies that, the following transformations occur on the parent function:
- <em>Vertically stretched by </em>
<em /> - <em>Horizontally compressed by </em>
<em /> - <em>Right shifted by </em>
<em />
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.