Answer:
268 mg
Step-by-step explanation:
Let A₀ = the original amount of caffeine
The amount remaining after one half-life is ½A₀.
After two half-lives, the amount remaining is ½ ×½A₀ = (½)²A₀.
After three half-lives, the amount remaining is ½ ×(½)²A₀ = (½)³A₀.
We can write a general formula for the amount remaining:
A =A₀(½)ⁿ
where n is the number of half-lives
.
n = t/t_½
Data:
A₀ = 800 mg
t₁ = 10 a.m.
t₂ = 7 p.m.
t_½ = 5.7 h
Calculations:
(a) Calculate t
t = t₂ - t₁ = 7 p.m. - 10 a.m. = 19:00 - 10:00 = 9:00 = 9.00 h
(b) Calculate n
n = 9.00/5.7 = 1.58
(b) Calculate A
A = 800 × (½)^1.58 = 800 × 0.334 = 268 mg
You will still have 268 mg of caffeine in your body at 10 p.m.
Answer: 1/27
Step-by-step explanation:
Step-by-step explanation:
5x-16 = 3 (10+x)
=> x= 23
Assuming c says 1/3x=21, that's the right answer. if you read too quickly you might rush into thinking x=7, but if course it is 63.
Based on the fact that Duffs Co. dividends grow at 24% for three years and then 6%, the current share price of the company is $63.29.
<h3>What is Duffs Co. current price?</h3>
First, find the price of the stock in year 3 when the stock grows at 6%:
= (1.90 x 1.24³ x 1.06) / (0.11 - 0.06)
= $76.79
This amount is the terminal value. You are to take the present value of this amount along with the present value of the dividends up to year 3:
= ((1.90 x 1.24) / 1.11) + ((1.90 x 1.24²) / 1.11²) + ((1.90 x 1.24³) / 1.11³) + 76.79 / 1.11³
= $63.29
Find out more on solving for current share price at brainly.com/question/15798462
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