Light yogurt sales in the United States have been declining eight percent per year since 2016 due to younger consumers choosing to switch to Greek yogurt. In 2016, distributors had $1.2 billion in light yogurt sales. Which equation could be used to represent light yogurt sales (in billions of dollars) in the U. S. 't' years after 2016? * a. y= 1.2(0.92)^t

b. y= 1.2 (8)^t

c y= 1.2(0.08)^t

d. y=1.2(1.08)^t

A.1.2(0.92)^t the answer

17

step-by-step explanation:

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