Answer:
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Step-by-step explanation:
The half life of the substance is 6.92 days.
<h3>What is the Half life ?</h3>
Half life can be defined as the time required to reduce the concentration to half of its initial value.
Here the equation given is

The concentration will reduce to half therefore

so,

ln 0.5 = - 0.1001 * t(1/2)
-0.693 = -.1001 * t(1/2)
t(1/2) = 6.92 days.
Therefore the half life of the substance is 6.92 days.
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Answer:
x = 6
Step-by-step explanation:
3 (2x - 5) = 21
=> 6x - 15 = 21
=> 6x = 21 + 15
=> 6x = 36
=> x = 36 / 6
=> x = 6
OR
3 (2x - 5) = 21
=> 2x - 5 = 21 / 3
=> 2x - 5 = 7
=> 2x = 7 + 5
=> 2x = 12
=> x = 12 / 2
=> x = 6
Hope it helps :)
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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)


(192/16)*4.55*1.43 = 39039/500 =78.078