You just multiply these two.
3.4 * 5.87х10^12 miles
Vol of small ball = 4/3 pi (2.5)^3
Vol of larger on = 4/3 pi (6.5)^3
Difference = 4//3pi(6.5^3-2.5^3)
= 4/3 pi (259)
= 1085.0
Ending Amount = Beginning Amount * e^k*t
5 grams = 100 grams * e^-.00043 * years
We have to solve the equation for "years"
(You can find the formula here: http://www.1728.org/halflif2.htm
or you can just read the next line
time = natural log (bgng amt / endg amt) / k
time = natural log (100 / 5) / .00043
time = natural log (20) / .00043
time = 2.9957322736 / .00043
time =
<span>
<span>
<span>
6,967</span></span></span><span> years
</span>
We should double-check this.
First, we need the half-life
k = ln(.5) / half-life
half-life = <span>-.693147 / -.00043
half-life = 1,612 years
Now let's see how many half-lives that is:
</span><span>6,967 / 1,612 years = 4.2 half-lives
So basically, after 4 half-lives the mass should go from
100
50 1 half life
25</span><span><span> 2 half lives</span>
12.5 </span><span>3 half lives
</span> 6.25 <span>4 half lives</span>
6.25 is very close to 5 grams so we can assume we have calculated correctly.
Answer:
$170.40
Step-by-step explanation:
cost of policy=$8.52
Groups of $1000=20,00÷1000
=20
20,000 worth=$8.52×20
$170.40