There are two so I'll give you the answer to both! 4,000 and 400
<h3>
Answer: 0</h3>
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Explanation:
The term "variant" means "it changes" or "it moves location".
So "invariant" means it stays fixed in place.
The translation vector
is the same as writing the rule
. It says to shift every (x,y) point 1 unit to the right and 3 units up. The key to this is the "every". There isn't a point left out that the translation doesn't touch. No points stay fixed in place. <u>There are no invariant points</u>.
In contrast, if we were to do a dilation, then the invariant point is the center of the dilation. Everything either shrinks or enlarges with respect to this fixed center point. Another example would be a rotation where the center of rotation stays fixed. Unfortunately, translations do not have this property of having an invariant fixed point.
Answer:

Step-by-step explanation:
We are given the following information:

We will now evaluate values for n =1, 2, 3, 4, 5 and so on.
By forward substitution method:

If we continue in this manner, we can see a general trend and we can say that

This is the solution for given recurrence relation.
Answer:
$41.50
Step-by-step explanation:
multiply $7.15 by 5 for every hour then add the $5.75 to show how it decreased which will give you $41.50 for 6 hours
Answer:
15000(1.003425)^12t ;
4.11%
4.188%
Step-by-step explanation:
Given that:
Loan amount = principal = $15000
Interest rate, r = 4.11% = 0.0411
n = number of times compounded per period, monthly = 12 (number of months in a year)
Total amount, F owed, after t years in college ;
F(t) = P(1 + r/n)^nt
F(t) = 15000(1 + 0.0411/12)^12t
F(t) = 15000(1.003425)^12t
2.) The annual percentage rate is the interest rate without compounding = 4.11%
3.)
The APY
APY = (1 + APR/n)^n - 1
APY = (1 + 0.0411/12)^12 - 1
APY = (1.003425)^12 - 1
APY = 1.04188 - 1
APY = 0.04188
APY = 0.04188 * 100% = 4.188%