Aslushy representative convinces you to lease a machine for $200 per month. you discover that you are selling $900 per month of slushies at a margin of 30%. are you making money on the machine?

Yes, you are making a profit.

Step-by-step explanation:

Let x represent the number of months.  Leasing a machine at $200 per month would give us the expression -200x (negative since we pay the money).

We sell $900 per month of slushies, and our profit margin is 30%.  This means we make 30% profit on the slushies; this gives us the expression 0.3(900x).

Adding these together, we have

-200x+0.3(900x) = -200x+270x = 70x

We earn $70 per month on the machine.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: the answer is fre sha voca do

step-by-step explanation: