Carole works at a bookstore and a restaurant. in a 28-day period, carole worked 1/4 of the days at the bookstore and did not work 1/14of the days. on the remaining days carole worked at the restaurant. how many days did carole work at the restaurant during the 28-day period?

"In a 28-day period, Carole worked 1/4 of the days at the bookstore"

She worked 7 days at the bookstore.

"and did not work 1/14of the days"

She did not work 2 days.

"On the remaining days Carole worked at the restaurant."

The remaining days are 28 - 7 - 2 = 19

19 days

the answer will be

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