81.7 ounces or 5.11 pounds, work is shown above if you need to show your work.
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years
CHECK
y = 158,000(1.06)^4
y = 199,471.36
Answer:
At least 13 chocolates must be removed
Step-by-step explanation:
If there are three flavors, the probability of drawing 1 would be: 1
1/3 = 0.333
Which means, that every 3 attempts, theoretically you should do 1 of each, but how they ask for 5 chocolates of each would be:
3 * 5 = 15
At least 15 chocolates must be extracted to theoretically guarantee 5 chocolates each, but how we are interested in knowing is that a single flavor has 5 chocolates, so we discard the last two chocolates that represent the other two flavors
Therefore, for there to be safely 5 chocolates of the same flavor, at least 13 chocolates must be removed.