Answer:
6/3=2
Step-by-step explanation:
its very easy pls give brainliest
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so


9514 1404 393
Answer:
$13,916.24
Step-by-step explanation:
First, we need to find the value of the CD at maturity.
A = P(1 +rt) . . . . simple interest rate r for t years
A = $2500(1 +0.085·3) = $2500×1.255 = $3137.50
__
Now, we can find the value of the account with compound interest.
A = P(1 +r)^t . . . . . rate r compounded annually for t years
A = $3137.50 × 1.18^9 = $13,916.24
The mutual fund was worth $13,916.24 after 9 years.
You are only showing one pair of triangles
Answer:
42.9m
Step-by-step explanation:
The topic is on similar triangle
you are comparing triangle MNP with triangle MAB
side AB is similar to NP
side MA is similar to MN
side MB is similar to MP
now MA = MN - AN
= 67.2 - 32
= 35.2m
MA/MN = MB/MP
35.2/67.2 = x/81.9
cross multiply and solve
x = 42.9m