Answer:
B
Step-by-step explanation:
Starting with 7,000, after 0 years there will be no increase so you still have 7,000.
The fist year you increase by 5% of 7,000.
.05x7000=350
You have a 350 increase, add that to the original 7000 to find the actual population after 1 year (domain value 1).
After 1 year: 7350
For year 2 there is an increase of 5% again, only this time we find 5% of 7350 since that was the previous years population.
.05x7350=368
Add that to previous population.
368+7350=7718
At this point so far the yearly populations have been (7000, 7350, 7718)
Answer choice B is the only one to have this progression.
If two angles are equal, then the two angles are obtuse.
Answer:
The Taylor series of f(x) around the point a, can be written as:
Here we have:
f(x) = 4*cos(x)
a = 7*pi
then, let's calculate each part:
f(a) = 4*cos(7*pi) = -4
df/dx = -4*sin(x)
(df/dx)(a) = -4*sin(7*pi) = 0
(d^2f)/(dx^2) = -4*cos(x)
(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4
Here we already can see two things:
the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.
so we only will work with the even powers of the series:
f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....
So we can write it as:
f(x) = ∑fₙ
Such that the n-th term can written as:
I’m pretty sure k=59 degrees since the area of a triangle is 180 so you just subtract the angles you already have to find the other one
Adjusted balance = 622.82 - 45.45 + 78.91 + 16.36 = 672.64
Adjused balance method finance charges = 672.64 x 0.1195/12 = 6.70
Average daily balance = ((622.82 x 3) + (577.37 x 6) + (656.28 x 15) + 672.64 x 6)) / 30 = (1868.46 + 3464.22 + 9844.20 + 4035.84) / 30 = 640.42
Daily balance method finance charges = 640.42 x 0.1195/12 = 6.38
