It takes 16,064 years for the 500g of radium to decay to 5g.
<h3>
How long will it take for 500g of radium to decay to 5g?</h3>
Here we have the decay equation:
Where Q₀ is the initial amount, and k is the decay constant.
We know that:
Q₀ = 500g
k = 0.00043
And we want to find the value of t such that Q(t) = 5g, so we need to solve:
Now we can apply the natural logarithm in both sides:
So it takes 16,064 years for the 500g of radium to decay to 5g.
If you want to learn more about decays:
brainly.com/question/7920039
#SPJ1
We have been given that various circular targets are used by archery students. Daryl is using a target with an area of 36π square inches. We are asked to find the circumference of the target.
To find the circumference of the target, we will use area of circle and circumference of circle formulas.
We know that area of circle is and circumference of circle is , where r represents radius of circle in both formulas.
First of all, we will equate area formula with given area of target and solve for r as:
Now we will take positive square root as:
Therefore, radius of circle is 6.
Now we will substitute in circumference of circle formula.
Therefore, the circumference of target is .
It is a
circle it
...........................
Answer:
C = 20.65 + 0.75M
Step-by-step explanation:
Given in the question that,
standard charge by the rental company = S = 16.95 + 0.60M
insurance charge by the rental company = I = 3.70 + 0.15M
Total charge C = S + I
16.95 + 0.60M + 3.70 + 0.15M = C
20.65 + 0.75M = C
So the equation which represent total charge that includes insurance in terms of M is
<h3>C = 20.65 + 0.75M </h3>