9514 1404 393
Answer:
D. 5
Step-by-step explanation:
The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...
0 ≤ π/2 +nπ ≤ 16
Dividing by π gives ...
0 ≤ 1/2 +n ≤ 16/π
Subtracting 1/2, we have ...
-1/2 ≤ n ≤ 4.59...
The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...
5 discontinuities in the interval
Answer:
37.67%
Step-by-step explanation:
Suppose initially a price of $ 100
Increasing per month at a rate of 2.7%. Which is equal to 0.027
Now applying the formula:
Vf = Vi * (1 + m) ^ n
where Vf is the final quantity, Vi is the initial value, m is the rate and n is the number of months.
We know that 1 year, is 12 months, since the rate is monthly means, n = 12, we replace:
Vf = 100 * (1 + 0.027) ^ 12
Vf = 137.67
It means price increase in 1 year = 137.67 - 100 = 37.67
Which means that n a year increases to 37.67%
The patient would receive 1/8 because (1/2)(1/4)=1/8
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