Answer:
12.8 years
Step-by-step explanation:
Put the given numbers into the model and solve for t.
![3P_0=P_0e^{.086t}\\\\3=e^{.086t} \qquad\text{divide by $P_0$}\\\\\ln{3}=.086t \qquad\text{take the natural log}\\\\\dfrac{\ln{3}}{.086}=t\approx 12.77](https://tex.z-dn.net/?f=3P_0%3DP_0e%5E%7B.086t%7D%5C%5C%5C%5C3%3De%5E%7B.086t%7D%20%5Cqquad%5Ctext%7Bdivide%20by%20%24P_0%24%7D%5C%5C%5C%5C%5Cln%7B3%7D%3D.086t%20%5Cqquad%5Ctext%7Btake%20the%20natural%20log%7D%5C%5C%5C%5C%5Cdfrac%7B%5Cln%7B3%7D%7D%7B.086%7D%3Dt%5Capprox%2012.77)
It will take about 12.77 years for the population to triple at the current growth rate.
Answer:
<h2>THE OPTIONS ARE WRONG </h2>
Step-by-step explanation:
<h3>N(S)=9 + 6 = 15</h3><h3>N(R) = 9</h3><h3>N(G) = 6</h3><h3>P(G) = N(G)/N(S) = 6/ 15 = 0.4</h3><h2>___________________________</h2>
<h3>DONE successful </h3>
<h3 />
You can. I am pretty sure
The series is 2^(n-1) where n=1,2,3,4,...,62,63,64
We can adjust the index and write it as 2^n where n=0,1,2,3,4,...,61,62,63
The sum of the geometric series is:
<span> a1*(1 - r^n)/(1-r)
</span><span> where r is the common ratio in this case 2,
</span> a1 is the first term, in this case 1,
and n is the number of term, in this case 64
1*(1- 2^64) / (1-2) = 18446744073709551615
Dividing that by 7000
That's 2635249153387078 pounds or 1317624576693.5 tons
<span>grains of wheat on square 19:
1*(1- 2^19)/(1-2)=</span><span>
<span>524287.</span></span>
Answer:
A) 4216.21621
B) 2646.363
C) 10325.094
Step-by-step explanation:
A) Step 1: Multiply 24 * 65 which = 1560... This then makes the fraction ![\frac{1560}{0.37}](https://tex.z-dn.net/?f=%5Cfrac%7B1560%7D%7B0.37%7D)
Step 2: Divide 1560 / 0.37 which = 4216.21621 (your answer)
B) Step 1: Multiply 71 * 8.2 which = 582.2... This then makes your fraction ![\frac{582.2}{0.22}](https://tex.z-dn.net/?f=%5Cfrac%7B582.2%7D%7B0.22%7D)
Step 2: Divide 582.2 / 0.22 which = 2646.363 (your answer)
C) Step 1: Multiply 49.3* 11.1 which = 547.23... This then makes your fraction
Step 2: Divide 547.23/0.053 which = 10325.094 (your answer)
Should have offered more points, but hey, hope this helps!