1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.
2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.
3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.
4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).
5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.
First step is to get the average daily balance.
Take the sum of each day's balances.
If a payment has been made, the sign will be negative.
From Days 1 - 5 :
Day 1 = $200
Day 2 = $200
...
Day 5 = $200
That's $200 x 5 days = $1000
From Days 6 - 20 :
Day 6 = $350
Day 7 = $350
...
Days 20 = $350
That's $350 x 15 days = $5250
From Days 21 - 30 :
Day 21 = $150
Day 22 = $150
...
Day 30 = $150
That's $150 x 10 days = $1500
A total of :
$1000 + $5250 + $1500 = $7750
Now divide this total to the number of days to get the ADB or Average Daily Balance.
Next Step is to calculate for the finance charge using the formula :
where ADB is the average daily balance
r is the interest rate per day
d is the number of days or period given
From the problem, APR is 15.5%, it means that we need to divide the APR by 365 days.
So r = 0.155/365 = 0.000425
And we have d = 30 days
The charge will be :
Charge = 258.33 x 0.000425 x 30 = $3.29
The answer is $3.29
Answer: travis can afford the compact car but not the coupe
Step-by-step explanation:
Answer: 24%
Step-by-step explanation:
2610+8120 = The undergraduates and graduates combined.
That is 10730. You are figuring out the probability the student is a graduate when those two graduates are combined, because that is all the data given. So you would do 2610/10730 in your calculator, resulting in 24.324324324%. As it says rounded to the nearest percent in parentheses, it has to round to the whole number, 24%, and .3 rounds down.
