A factory has two types of employees: line workers and managers. • There are 70 line workers that earn $85 per day.
• Managers earn $120 per day.
• The daily pay for the entire factory is $7,390.
How many managers are there?
Α. 14
B. 16
C. 10
D. 12

There are 12 managers.

Step-by-step explanation:

70* 85=5950

7390-5950=1440

1440/120=12

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

s

step-by-step explanation: