Answer:
=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
Complete the square
since a=1 for ax²+bx²+c=0
we can do
take 1/2 of the linear coefient and square it
-6/2=-3, (-3)²=9
add that to both sides
x²-3x+9-25=9
factor perfect square trinomial
(x-3)²-25=9
add 25 to both sides
(x-3)²=34
sqrt both sides, rmember to take positive and negative roots
x-3=+/-√34
add 3
x=3+/-√34
x=3+√34 or 3-√34
Answer:
<h3> y= -3/4x - 4</h3>
Step-by-step explanation:
To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.
Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.
y=-3/4x+b
Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify
-1= 3 + b subtract 3 for both sides
-4=b
substitue -4 for b. Now you have y= -3/4x - 4 this is your answer.
