"<span>A company will need 40,000 in 6 years for a new addition. To meet the goal, the company deposits money into an account today that pays 4% annual intrest compund quarterly." Let's pretend that the instructions state, "Determine the amount of money that must be deposited upfront so that you will have $40,000 in 6 years."
Use the Compound Amount formula: A = P(1 + r/n)^(nt),
where P is the principal (the amount deposited upfront), r is the interest rate as a decimal fraction, n is the number of compounding periods, and t is the time in years.
Here, $40000 = P(1 + 0.04/4)^(4*6)
$40000
So the upfront $ needed is P = -------------------------
(1+0.01)^24
This comes out to $31502.65 (answer)</span>
<h3>2
Answers: </h3><h3>
Choice B) Shift down</h3><h3>
Choice C) Shift right</h3>
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Explanation:
Start with the point (-2,-4). Let's try to move it to (2, -9)
To do so, we need to shift down and to the right (in either order).
Specifically we shift 4 units to the right to go from x=-2 to x=4
Note how x=-2 moves to x+4 = -2+4 = 2
Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below
y ---> y-5 = -4-5 = -9
So the translation rule is 
Let's see what happens when we apply the translation rule to (2,4)

which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)
We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.
12. hope that helps you with your homework
Answer:

Step-by-step explanation:
here's the solution :-
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Answer:
7,173
x = 7
Step-by-step explanation:
Within the question it gives two examples.
x = 0 corresponds to 2000
x = 1 corresponds to 2001
If you pay close attention the x-value is always the same as the last digits in the year. So with 2007 the last digit is 7, which then leads us to determine that
x = 7
f (x) = -327 (7) + 9462
f (x) = -2289 + 9462 = 7173