Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
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Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.
3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).
The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.
5/100 = 24/x
5x = 24(100)
5x = 2400
x = 480
ANSWER: 480 cartons
Answer:
1.56%
Step-by-step explanation:
A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.
Alright, the answer is B and I’ll tell you why. Look at the problem and see the order that they write the triangles in. ABC and XYZ, this is telling us that the angles in order are congruent to each other. Hope this helps :)
Answer:
Step-by-step explanation:
Its given:
