The number of customers to visit a local small businesses 51,200 and has been continuously declining at a rate of 3.8 each year what is the approximate number of customers that visit the business in 14 years

=30076 customers

Step-by-step explanation:

Number of customer= 51,200

rate of declination=3.8 %= 0.038

We will use the expresion below in calculating the approximate number of customers that visit the business in 14 years.

A=Pe^(rt)

Where P=initial amt,

r=annual rate of growth or decline,

A=amount after t years.

37800=Pe^.017t

51200=Pe^0.038

P= 51200/e^(0.038*14)

But e^(0.038*14)= 1.7023

P= 51200/1.7023

P=30076

Approximate number of customers that visit the business in 14 years≈30076

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)