You and a friend plan to see 2 movies over the weekend. You can choose from 6 comedy, 2 drama, 4 romance, 1 science fiction, or
1 answer:
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9514 1404 393
Answer:
(0, π/4] ∪ (π, 5π/4]
Step-by-step explanation:
Multiplying by 2 gives ...
cot(x) ≥ 1
The cotangent function decreases from ∞ to 1 in the domain (0, π/4], and again in the domain (π, 5π/4]. The solution is the union of these two intervals.
x ∈ (0, π/4] ∪ (π, 5π/4]
_____
(a, b] is interval notation for a < x ≤ b
Answer:
$1,109.62
Step-by-step explanation:
Let's first compute the <em>future value FV.</em>
In order to see the rule of formation, let's see the value (in $) for the first few years
<u>End of year 0</u>
1,000
<u>End of year 1(capital + interest + new deposit)</u>
1,000*(1.09)+10
<u>End of year 2 (capital + interest + new deposit)</u>
(1,000*(1.09)+10)*1.09 +10 =
<u>End of year 3 (capital + interest + new deposit)</u>
and we can see that at the end of year 50, the future value is
The sum
is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to
and the future value is then
The <em>present value PV</em> is
rounded to the nearest hundredth.