Answer:
Since the price is given by an exponential function, the decline in price is exponential.
The component will cost $36.8475 in three years.
Step-by-step explanation:
The equation for the price of a component has the following format:

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.
Since the price is given by an exponential function, the decline in price is exponential.
The price of a computer component is decreasing at a rate of 15% per year.
This means that 
Component costs $60 today
So P(0) = 60. Then



What will it cost in three years?
This is P(3).


The component will cost $36.8475 in three years.
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, and in this case:
-m/4=-1
-m=-4
m=4, so the slope of the perpendicular line is 4 so we have thus far:
y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"
3=4(-4)+b
3=-16+b
19=b, so our line is:
y=4x+19
ANSWER

or

We have

Since we cannot factor easily, we complete the square.
Adding 2 to both sides give,

Dividing through by 3 gives

Adding

to both sides gives

The expression on the Left Hand side is a perfect square.




Splitting the plus or minus sign gives

or
Answer:
x = -4 ± 2√3
Step-by-step explanation: