The parent function is:
The transformed function is:
If we compare the above simplified function with the parent function we can note the following transformations:
1) Multiplication by 1/2Multiplying the function by a number indicates dilation. Since the number is between 0 and 1, the function is being compressed in vertical direction by a factor of 2.
2) Subtraction of 5 from x.Subtracting a number from x indicates a horizontal shift towards right. This means the parent function is transformed 5 units to right.
3) Subtraction of 3 from the function.Subtracting a number from the function indicates a downward shift. This means the parent function is transformed 3 units down.
The above 3 transformations are done on y = 1/x to get the new function.
He needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
<h3>What is Interest ?</h3>
Interest is the amount of money received , when a certain lump sum amount is deposited.
It is given that the person is receiving ,
Interest = $5000 ,
after six months , every six month
Time Period = 10 years
Interest Rate = 4%
Compounded Semiannual
Let the principal amount be $x
Compound Interest is given by
Amount = P[ 1 + r/n]ⁿˣ
Here x is the time period
Therefore the Amount = x{ 1 +0.04/2}²⁰
x + 5000 *20 = x{ 1 +0.04/2}²⁰
x + 100000 = 1.486 x
x = $205783
Therefore he needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
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Answer:
answer is <em><u>D</u></em><em><u> </u></em>..................
The ordered pair of a unit circle is represented as:
The point where the terminal side of intersect with the unit circle is: 240
The given parameter can be represented as:
This means that:
Let the angle between the x-axis and the terminal side be
So, we have:
Using
The equation becomes
Apply cosine formula
Divide both sides by -1
Take arccos of both sides
Recall that:
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we are given
displacement is
now, we are given
rigonometric function appearing in an equation must be dimensionless
so,
must be dimensionless
so, unit of x and unit of 'a' must be same
so, unit of 'a' will be unit of displacment
and unit of displacemet is metre(m)
so, unit of 'a' will be metre(m).............Answer