Step-by-step explanation:
arctan(x) is less than π/2 for x > 0. Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.
g(x) = 13 (π/2) / eˣ
g(x) = 13π/2 · (1/e)ˣ
So g(x) is a geometric series where r = 1/e. Since |r| < 1, the series converges.
Since g(x) converges, the smaller f(x) also converges.
Answer:$2700
Step-by-step explanation: Really depends on the kind of interest, but you would take the initial amount, and multiply it by the APR for the amount of interest, then add the interest to the initial amount.
Yes because 10 times as 5 is population
She will need to cut 26.6 haircuts a month a location A to break even (1200/45 = 26.6) so roughly 27 haircuts to make a profit
She will need to cut 30 haircuts at location B to break even (1800/60 = 30) and 31 hair cuts to see a profit.
She will need to cut 30.67 haircuts at location A and 33 haircuts at location B to make the same profit at either location (Roughly $180).
30.67 x 45 = 1380.15 - 1200 = 180
33 x 60 = 1980 - 1800 = 180
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=
. Hence CM=GC+GM=3*
. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
Hence, we calculate from this that AC^2= 28, hence AC=2*
=BC. Thus, the perimeter of the triangle is 2+4*
.
