7. People are migrating from one country or continent to the other in search of a better future. Many factors are being consider
ed in
migration. Suppose x number of Filipinos migrate to Australia, express the following number of people migrating to other continents
(excluding Antarctica).
a. Africa : 20 less than the migration to Australia ( Answer: x - 20 )
b. Asia : 100 more than twice the migration to Australia (2 points)
c. North America : 15 more than 3 times the migration to Australia (2 points)
d. Europe: 10 more than twice the migration to Australia (2 points)
e. South America : 50 more than the migration to Australia (2 points)
f. Find the ratio (using fraction) of the migration to Europe over the migration to North America (Simplify your answer using
factoring) Show your solution. (5 points)
g. If x = 100, which continent has the biggest number of migration? Show your solution from a to e. (7 points)
migration. Suppose x number of Filipinos migrate to Australia, express the following number of people migrating to other continents
(excluding Antarctica).
a. Africa : 20 less than the migration to Australia ( Answer: x - 20 )
b. Asia : 100 more than twice the migration to Australia (2 points)
c. North America : 15 more than 3 times the migration to Australia (2 points)
d. Europe: 10 more than twice the migration to Australia (2 points)
e. South America : 50 more than the migration to Australia (2 points)
f. Find the ratio (using fraction) of the migration to Europe over the migration to North America (Simplify your answer using
factoring) Show your solution. (5 points)
g. If x = 100, which continent has the biggest number of migration? Show your solution from a to e. (7 points)
1 answer:
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Answer:
(a)
(b)
Step-by-step explanation:
Given
--- Volume of tank
--- Brine solution
--- Rate in, in gallon/min
--- Rate out, in gallon/min
Required
Determine A(t)
First, calculate the rate in (R in) and (R out) in lb/min
R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2
So, we have:
The change in the amount of brin e in the tank at time t is given as:
Rewrite:
Multiply through by dt
Make dt stand alone
Express as exponents
Multiply through by 100
Apply initial conditions
Substitute 0 for t in:
Substitute 15 for c in
Factorize:
How long to empty the tank
Set A to 0
Divide through by 1500
Collect Like Terms
Take ln of both sides