Make x the subject of the formula y=3x-5
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Answer:
8978 grams
Step-by-step explanation:
The equation to find the half-life is:
N(t) = amount after the time <em>t</em>
= initial amount of substance
t = time
It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.
or more simply
= time of the half-life
We know that = 35,912, t = 14,680, and
=7,340
Plug these into the equation:
Using a calculator we get:
N(t) = 8978
Therefore, after 14,680 years 8,978 grams of thorium will be left.
Hope this helps!! Ask questions if you need!!
The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:
![PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]](https://tex.z-dn.net/?f=PV%3DP%20%5Cleft%5B%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%20%5Cright%5D)
Given that <span>Estes Park Corp. pays a constant dividend of P = $6.95 on its stock. The company will maintain this dividend for the next n = 12 years and will then cease paying dividends forever. If the required return on this stock is r = 10 % = 0.1.
Thus, the current share price is given by:
![Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\ \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\ \\ =6.95(6.813)=\bold{\$47.36}](https://tex.z-dn.net/?f=Current%20%5C%20share%20%5C%20price%3D6.95%20%5Cleft%5B%5Cfrac%7B1-%281%2B0.1%29%5E%7B-12%7D%7D%7B0.1%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%20%3D6.95%5Cleft%5B%5Cfrac%7B1-%281.1%29%5E%7B-12%7D%7D%7B0.1%7D%20%5Cright%5D%20%3D6.95%5Cleft%28%5Cfrac%7B1-0.3186%7D%7B0.1%7D%20%5Cright%29%3D6.95%5Cleft%28%5Cfrac%7B0.6814%7D%7B0.1%7D%20%5Cright%29%20%5C%5C%20%20%5C%5C%20%3D6.95%286.813%29%3D%5Cbold%7B%5C%2447.36%7D)
Therefore, the current share price is $47.36
</span>
Given that <span>Estes Park Corp. pays a constant dividend of P = $6.95 on its stock. The company will maintain this dividend for the next n = 12 years and will then cease paying dividends forever. If the required return on this stock is r = 10 % = 0.1.
Thus, the current share price is given by:
Therefore, the current share price is $47.36
</span>