Answer:
7 hours
Step-by-step explanation:
Since, the final amount of caffeine formula would be,

Where,
P = Initial value,
r = rate per period,
t = number of periods,
Here, r = 10% = 0.10, t = h, A = 


Taking log both sides,



Hence, after 7 hours the amount of caffeine in a body to reduce by half.
Answer:
x = 7.55
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2 +8^2 = 11^2
x^2 +64 = 121
Subtract 64 from each side
x^2 +64-64 = 121-64
x^2 =57
Take the square root of each side
sqrt(x^2) = sqrt(57)
x = 7.549834435
To the nearest hundredth
x = 7.55
Step-by-step explanation:
11 ÷ 20 = 0.55
0.55 × 100 = 55
so 55%
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Answer:
B.distance = speed × 90
Step-by-step explanation:
We know that distance = rate * time
We know the time is 90 minutes
distance = speed * 90