First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at 
, the equation will contain a 
term.
If we start with 
we have a parabola, concave down, with vertex at and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have
Now we only have to fix the fact that this parabola doesn't land at 
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want
such that:
Plugging these values gets us
As you can see in the attached figure, the parabola we get satisfies all the requests.
So first you need to by the chain saw and the chipper for $380. It should only take you about 9 hours to assemble it. And lets say that the 31 hours you were looking for the best of the best chain saw and chipper.
Answer:
n^23
Step-by-step explanation:
n^3 · n^20 = n^23
we have M is durectly porpotional to r^2
so M=(k)r^2
and when r=2, m=14
so 14=(k)(2)^2
k=14/4 =7/2
so when r=12
m= (7/2)(12)^2 =(7/2)(144) = 504
9514 1404 393
Answer:
- interest: $63
- balance: $9063
Step-by-step explanation:
After 6 months, the interest accrued is ...
I = Prt
I = $9000·0.014·(6/12) = $63
This is added to the principal to get the balance at that point in time.
$9000 +63 = $9063
__
The interest earned in the first 6 months is $63. The balance after 6 months is $9063.
_____
The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...
A = P(1 +r/n)^(nt)
where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...
A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063
, we have
