Math homework help?
Need help ASAP with these problems (would be really helpful if anyone did the other ones in the picture too):
- Fish are known to travel in small groups known ascohorts. On average, the cohorts of a certain species of fish have been observed to have populations that decay asP(t)=P0e−^0.2t, where it is measured in years. What amount of time do we expect to pass in order for a cohort to shrink to 10%of its original size?
- In 1867, the U.S. purchased Alaska from Russia and paid a price of $7.2 million. Alaskahas 586,000 square miles of land. Assuming that the value of land increased continuously at around 3% per year, determine the price of one acre of land in the year 2019 (noting that 1 square mile is equivalent to 640 acres)? Estimate the land value of Alaska in 2019.
- Ian HLv 71 month agoFavorite Answer
P(t)/Po= e^−(0.2t) = 0.1, take reciprocals of both sides
e^(t/5) = 10
t = 5ln(10) ~ 11.51 years
The value of land increased continuously at 3% per year
Let V be the value of the 586,000 square miles after n years
In millions of dollars, V = 7.2*(1.03)^n
2019 is 152 years after 1867
V = 7.2*(1.03)^152 = 643.562 million
Dividing by 640 to find v which is the value of 1 acre in 2019
v is just over $1 million, (actually about $1,005,566)
- RealProLv 71 month ago
You can't take the formula and plug in the numbers ASAP yourself?
0.1P0 = P0 e^(-0.2t)
t = 5ln(10)
f(t) = 7.2 (1.03)^t
Where t is years after 1867 and f(t) is millions $.