A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to r
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Answer:
<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
= The decay constant.
One important parameter related to radioactive decay is the half-life:
If we know the value of the half-life, we can calculate the decay constant:
Carbon-14 has a half-life of 5,730 years, thus:
The equation of the remaining quantity of Carbon-14 is:
We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No
Simplifying:
Taking logarithms:
Solving for t:
Carbon-14 will take 19,035 years to decay to 10 percent.
Answer:
= One-half more than three-fourths of a number
= Three-fourths minus one-half of a number
= three-fourths minus the sum of a number and one-half
Step-by-step explanation:
Suppose x be an unknown number.
∵ 3/4th of a number =
= One-half more than three-fourths of a number
Now, half of a number =
= Three-fourths minus one-half of a number
Sum of a number and one-half =
= three-fourths minus the sum of a number and one-half
Cost of chicken wings at Buffalo Bills = 8 wings for $7
Cost of 1 wing at Buffalo Bills =
Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10
Cost of 1 wing at Buffalo Mild Wings =
Cost of chicken wings at Wingers = 20 wings at $17
Cost of 1 wing at Wingers =
Hence, comparing all the three costs per wing, we can see that Buffalo Mild Wings is serving chicken wings at lowest price of $0.833 per wing.