Answer:
Step-by-step explanation:
<u>Given:</u>
- Deposit amount P = $10000
- Interest rate r = 5.5% or 0.055
- Time t = 2 years
- Number of compounds n = 4
<u>The interest is:</u>
- P*(1 + r/n)^(nt) - P =
- 10000(1 + 0.055/4)^8 - 10000 =
- 11154.42 - 10000 =
- 1154.42
The approximate length of side AB is 14.0. The correct option is B. 14.0 units
<h3>Law of sines </h3>
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (<em>Sum of angles in a triangle</em>)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
Learn more on Law of sines here: brainly.com/question/24138896
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Answer:

Step-by-step explanation:
Given

Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term

Calculate common ration
or 

So, the nth term is:


Answer:
311 I ALREADY TOKK THIS TEST
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/4 + (1/4 - 1/6)
= 3/4 +1/4 - 1/6
The LCM = 12
= {(3×3) + (1×3) - (2×1)}/12
= (9+3-2)/12
= 10/12
= 5/6