Answer:
(a) $ 30000 + 1500 t
(b) $ 52500
Step-by-step explanation:
Initial profit = # 30,000
Profit increases every year by 5 %.
(a) Let the profit after t year is
P = $ 30,000 + 5% of 30,000 t = $ 30000 + $ 1500 t
(b) t = 15 years
P = $ 30000 + $ 1500 x 15 = $ 52500
About 94.24778. The radius is 3.
It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4 = -12z
Nest, Inners:
9*z = 9z
Finally, the Lasts:
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
3z^2 - 12z + 9z - 36
Last of all, simplify coefficients with like terms and you're good to go:
3z^2 - 3z - 36
Hope this helps!
Answer:

Step-by-step explanation:
Given
Points:


Required
Determine the equation of line that is perpendicular to the given points and that pass through 
First, we need to determine the slope, m of FG

Where
--- 
--- 



The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:


The equation of the line is then calculated as:

Where





Multiply through by 2

Add x to both sides


Hence, the line of the equation is 