Kylie is buying a new pair of tennis shoes. The price tag says that the shoes are regularly priced at $68.80. Kylie has a coupon for 20% off.

Part A: How much money will Kylie save if she uses the coupon? Show your
work.

Part B: How much will Kylie pay for the shoes after the discount? Show your
work.

Part A: $13.76 saved. Part B: $55.04

Step-by-step explanation:

Part A: Set a proportion up d/68.8 = 20/100

100·d=100d 68.8·20=1376

100d/100 cancels out

1376/100=13.76 so $13.76 was saved

Part B: 68.80-13.76= 55.04 so $55.04 was what he paid.

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