Answer: For 18 months the last term is 18 and the sum is 171. For 24 months the last term is 24 and the sum is 300. For 30 months the last term is 30 and the sum is 465.
Explanation:
For the Rule of 78, for a 12 month period, the last term in the sequence is 12 and the series sums to 78. It is also defined as,
It is an AP with first term 1 and common difference 1.
The formula for sum of n terms is,
Similarly, for 18 months the last term is 18 and its sum is,
Similarly, for 24 months the last term is 24 and its sum is,
Similarly, for 300 months the last term is 30 and its sum is,
Therefore, the last term for 18 month is 18 and its sum is 171. The last term for 24 month is 24 and its sum is 300. The last term for 30 month is 30 and its sum is 465.
-8d-7=0 i think but not sure i guessed
Answer:
The answer would be correctly written as $10.10, and the work would be shown.
Step-by-step explanation:
We know the sale amount is ...
extended price = (quantity)·(price each)
When the price is reduced 8¢, the total amount of the sale is ...
extended price = 2·($5.13 -0.08) = 2·$5.05 = $10.10
Answer:
m=4/5
Step-by-step explanation:
Hope I helped ヾ(^-^)ノ
Use the double angle identity:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Now rewrite
sin(2<em>x</em>) sin(<em>x</em>) + cos(<em>x</em>) = 0
as
2 sin²(<em>x</em>) cos(<em>x</em>) + cos(<em>x</em>) = 0
Factor out cos(<em>x</em>) :
cos(<em>x</em>) (2 sin²(<em>x</em>) + 1) = 0
Consider the two cases,
cos(<em>x</em>) = 0 OR 2 sin²(<em>x</em>) + 1 = 0
Solve for cos(<em>x</em>) and sin²(<em>x</em>) :
cos(<em>x</em>) = 0 OR sin²(<em>x</em>) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(<em>x</em>) = 0
Cosine is zero for odd multiples of <em>π</em>/2, so we have
<em>x</em> = (2<em>n</em> + 1) <em>π</em>/2
where <em>n</em> is any integer.