3 is the least common multiple
Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
First we have the following equation:
a - b = 0
We clear one of the variables depending on the other:
a = b
Therefore we have to for the following expression:
a + b
We can substitute one of the variables, obtaining:
a + a = 2a
Equivalently:
b + b = 2b
Answer:
a + b = 2a
or
a + b = 2b
Let the two numbers be x and y
(x+y)-18=2x
x+y-18=2x
x+y-2x=18
-x+y=18_______(1)
(x-y) -32=2y
x-y-32=2y
x-y-2y=32
x-3y=32_______(2)
from eqn (1) y=18+x____(3)
substitute eqn (3) into eqn(2)
x-3{18+x} = 32
x-54-3x=32
-2x=32+54
-2x = 86
x= -43
sub x=-43 into eqn (3)
y=18+(-43) = 18-43 = -25
