Answer: a) 8.779 years
b) 8.664 years
<u>Step-by-step explanation:</u>
a)

- A: accumulated amount (balance)
- P: principal amount (original/initial investment)
- r: interest rate (convert to a decimal)
- n: number of times compounded per year
- t: number of years
Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

b)


Answer:
4.88
Step-by-step explanation:
sinA=opposite/adjacent
sin24=x/12
12(0.40673664307)=x
x=4.88083971691
Step-by-step explanation:

- Line a & b are parallel
- m ∠ 8 = 150 °


[ Sum of co-interior angles ]
⤑ 
⤑ 
⤑ 

Hope I helped ! ♡
Have a wonderful day / night ! ツ
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The double angle formula for the sine is

The right hand side is exactly your expression, where 
So, rewriting the expression from right to left, we have
