Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have the point (-30,18)
so
x=-30, y=18
Find the value of k
substitute
Simplify
Divide by 6 both numerator and denominator
Answer:
y = -1/3x - 5
Step-by-step explanation:
Use rise over run to find the slope: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-7 + 3) / (6 + 6)
-4 / 12
= -1/3
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
-3 = -1/3(-6) + b
-3 = 2 + b
-5 = b
Plug in the slope and b into y = mx + b
y = -1/3x - 5 is the equation of the line
Answer:
$14,048.62
Step-by-step explanation:
The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%
The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.
So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:
A = P (1 + [ r / n ]) ^ nt
A= amount of the balance after a period of t
P= principal, the initial money deposit( $3,715)
r= rate(9%)
n= number of compound per unit of time(3 times per year)
t= time(15 years)
The calculation will be:
A = P (1 + [ r / n ]) ^ nt
A = 
A = $14,048.62
-1,1,3,5,and 7 in that order