A trip, including hotel and air, is prices at $319.19 after tax. If the tax rate is 12%, calculate the price before tax that wil
1 answer:
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Answer: Second Option
Step-by-step explanation:
The probability sought is calculated by calculating the quotient between the number of possible ways to select 4 seniors from a group of 4 seniors among the number of ways to select 4 seniors from a group of 10 people.
So:
Where
is the number of ways in which a number r of people can be selected from a group of n people
Then
Check the picture below.
the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.
now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.
if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.
since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at
the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.
now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.
if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.
since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at
Answer:
Step-by-step explanation:
a) The half-life equation is given by:
b) Using the decay equation we have:
we need to find t when
Therefore, it will take 4820 years to decay to half the original amount.
I hope it helps you!