A $129.50 stereo is discounted 40%.The next month the sale price is discounted 60%. Is the stereo now free if not what is the sale price? Let’s see if any of you get it my teacher asked me this on Thursday I got it right. Must shows step-by-step explanation

no, it is not free. $31.08 is the sale price

Step-by-step explanation:

1 - .4 = .6 –––––> paying 60% of original price with first discount

129.50 • .6 = $77.70

1 - .6 = .4 ––––––> paying 40% of the discounted price

77.70 • .4 = $31.08 is the sale price

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

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