Gradient is the slope, which is the letter m in the equation.
The point is written as (x1, y1) so replace x1 and y1 in the equation with the numbers in the given point.
A would be y - 1= 2(x-4)
B: y +5 = 5(x-2)
C: y-1= -3(x+1)
D: y -6 = 1/2(x-1)
E: y +1/4 = -2(x-3:4)
F: y+7 = -1/5(x+ 3)
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
Answer:
The percent of net income Maddie gives as rent = 29.97%
Step-by-step explanation:
Given:
Gross monthly income for Maddie = $2200
Percentage of her paycheck withheld = 35%
Amount paid for rent = $400
To find the percent of her net monthly pay that goes to rent.
Solution:
Amount of paycheck withheld as deductions :
⇒ 35% of the gross income
⇒ 35% of $2200
⇒
⇒ $ 770
Net income = <em>Gross income - deductions</em><em> = </em> = $1430
Percentage of net income given as rent is given as :
⇒
⇒
⇒ 27.97% (Answer)
Answer:
Step-by-step explanation: