Answer:
2 is the opposite of-2 and -2 is the opposite of 2
The <em><u>correct answer</u></em> is:
46.6 days
Explanation:
The general form for exponential growth is
, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).
We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:
![A=p(1+0.015)^t](https://tex.z-dn.net/?f=%20A%3Dp%281%2B0.015%29%5Et%20)
We also know we want the total amount, A, to be twice that of the initial amount, p:
![2p = p(1+0.015)^t \\ 2p=p(1.015)^t](https://tex.z-dn.net/?f=%202p%20%3D%20p%281%2B0.015%29%5Et%0A%5C%5C%0A2p%3Dp%281.015%29%5Et%20)
Divide both sides by p:
![\frac{2p}{p}=\frac{p(1.015)^t}{p} \\ \\ 2=1.015^t](https://tex.z-dn.net/?f=%20%5Cfrac%7B2p%7D%7Bp%7D%3D%5Cfrac%7Bp%281.015%29%5Et%7D%7Bp%7D%0A%5C%5C%0A%5C%5C%202%3D1.015%5Et%20)
Using logarithms to solve this,
![\log_{1.015}(2)=t \\ \\46.6=t](https://tex.z-dn.net/?f=%20%5Clog_%7B1.015%7D%282%29%3Dt%0A%5C%5C%0A%5C%5C46.6%3Dt%20)
Answer:
5 ( x + 69)/4
Step-by-step explanation:
Not sure, but the areas of a triangle is BH/2 so the dimensions should be 8 and 6 then 10.
8 x 6 = 48
48/2 = 24
Maybe that can help with the equation
Answer: ![P=0.975^t](https://tex.z-dn.net/?f=P%3D0.975%5Et)
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. ![P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BA%281-0.02%29%5Et%7D%7BA%7D%3D%5Cfrac%7B%280.975%29%5Et%7D%7B1%7D)
Hence, the ratio of remaining since the nuclear accident is ![P=0.975^t](https://tex.z-dn.net/?f=P%3D0.975%5Et)