Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
Exponential growth of the form:
F=Ar^t
F=100(1.22)^t
F(5)=100(1.22)^5
F(5)=270.27
F(5)=270 to the nearest frog...
....
1.22=r^12
r=1.22^(1/12)
F=100(1.22^(1/12)^t)
F=100(1.22^(t/12)) now it will produce monthly populations...
Say we did the same as before but instead of 5 years you have 60 months...
F(60)=100(1.22^(60/12))
F(60)=270 to the nearest frog... :P
The answer is 21
252 / 12 = 21
I hope this helped :)
Answer:
5750
710.7
Step-by-step explanation:
Simple interest = principal. * rate * time
Principal (p) = sum of money
1380 = p * 0.12 * 2
1380 = 0.24p
p = 1380 / 0.24
p = 5750 rupees.
The compound interest :
A = P(1 + r/n)^nt
A = final amount
n = number of compounding times per period
t = period
A = 5750(1 + 0.12/2)^2*1
A = 5750(1 + 0.06)^2
A = 5750(1.06)^2
A = 5750 * 1.1236
A = 6460.7
Hence, compound interest is :
Final amount - principal
6460.7 - 5750
= 710.7 rupees
