The growth rate is 25%
Initial population, P = 6
Growth rate, r = 25% = 25/100 = 0.25
Number of years, t = 10
Final population, A = ?
A = P * (1 + r) ^t
= 6 * (1 + 0.25) ^10
= 6 * 1.25^10
= 6 * 9.31
= 55.86
Approximately 56
Therefore, approximately 56 rabbits can be expected to exist after 10 years
8) x represents the number of pounds of peanuts, and y represents the number of pounds of raisins
9)
Solve:
x+2y=9
-2y -2y
x=9-2y
2(9-2y) + 3y=14
18-4y+3y=14
-18 -18
-y=-4
y=4
x+2(4)=9
x+8=9
x=1
392 boots. If you divide everything into "sets" of an unknown amount, there are 5 more "sets" of boots than sandals, also known as the 245 boots. So if you divide 245 by 5, you'll get the number of items in a "set". Then just multiply by 8 from the 8:3 ratio. If you check it, it will come out to 392 boots to 147 sandals, which I think is ridiculous since sandals are supposed to come in pairs so you should never have a odd number. But anyway, 392 - 147 = 245
What you do is you combine like terms... so in your instance it is using m.
9m+2= 3m-10
-3m -3m
3m + 2 =-10
+10 +10
3m= 12
m= 4
