Answer:
47%
Step-by-step explanation:
We can find the percent of the daily allowance by finding what percent 30 is of 64:
30/64 = 0.468 or approx. 47%
Sorry i needed points but i hope u find the answer u needed
Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]
The range are the possible output values of f(x)
We need to solve f(x) = 3.2x for each value in our domain
f(-4) = 3.2(-4) = -12.8
f(-2) = 3.2(-2) = -6.4
f(0) = 3.2(0) = 0
f(2) = 3.2(2) = 6.4
f(4) = 3.2(4) = 12.8
Answer:
the first one.
Step-by-step explanation:
DJ and decorations are one time flat costs. they are constant. so, together, they are $300.
that is what decreases the profit.
on the other side, $5 per student = 5n in total increases our profit.
so, in total the sum of both (the decreasing amount has a negative sign, if course) :
5n - 300 = 1,500
is the right equation to calculate how many students are needed to make that much profit.
the solution, but the way :
5n - 300 = 1500
5n = 1800
n = 1800/5 = 360 students
