Answer:
Step-by-step explanation:
The continuous compound formula is
where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:
which would probably round to just 3848 people.
9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
|a| = -a for a < 0
|a| = a for a ≥ 0
examples:
|-1| = -(-1) = 1; |-4| = -(-4) = 4; |-0.1| = 0.1; |-109| = 109
|7| = 7; |19| = 19; |0| = 0
- |-7 + 4| = - |-3| = - (3) = -3
Answer: -|-7 + 4| = -3
Start with the second expression. That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3). Divide <span>64x^2 + 48x + 9 by that to verify.
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