In order to answer this you’d have to find how much does a membership cost monthly first !
Answer:
A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.
B) 3.39% per year
C) $182,000
Step-by-step explanation:
A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.
165000 = 100000(1 +r)^15
1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root
1.03394855265 -1 = r ≈ 0.0339
The value was multiplied by about 1.0339 each year.
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B) The value increased by about 3.39% per year.
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C) S = $100,000(1.03394855265)^18 ≈ $182,000
Easy
5th degree means highest power is 5 so must have x^5
trinomial means 3 terms
A. trinomial, highes power is 5, check
b. trinomial, highest power is 3, nope
c. not a trinomial, highest power is 3, nope
d. not a trinoial, highest power is 5, nope
answer is A
Answer:
The family of possible values for
are:
![(-\infty, -4) \,\cup \,(7, +\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-4%29%20%5C%2C%5Ccup%20%5C%2C%287%2C%20%2B%5Cinfty%29)
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors
and ![\vec{b}](https://tex.z-dn.net/?f=%5Cvec%7Bb%7D)
If
is acute, then the cosine function is bounded between 0 a 1 and if we know that
and
, then the possible values for
are:
Minimum (
)
![\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0](https://tex.z-dn.net/?f=%5Cfrac%7Bp%5E%7B2%7D-3%5Ccdot%20p%20-28%7D%7B%5Csqrt%7Bp%5E%7B2%7D%2B58%7D%5Ccdot%20%5Csqrt%7B2%5Ccdot%20p%5E%7B2%7D%2B16%7D%7D%20%3E%200)
Maximum (
)
![\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1](https://tex.z-dn.net/?f=%5Cfrac%7Bp%5E%7B2%7D-3%5Ccdot%20p%20-28%7D%7B%5Csqrt%7Bp%5E%7B2%7D%2B58%7D%5Ccdot%20%5Csqrt%7B2%5Ccdot%20p%5E%7B2%7D%2B16%7D%7D%20%3C%201)
With the help of a graphing tool we get the family of possible values for
are:
![(-\infty, -4) \,\cup \,(7, +\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-4%29%20%5C%2C%5Ccup%20%5C%2C%287%2C%20%2B%5Cinfty%29)