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>
0.05n + 0.1d = 3.10
n + d = 44
d = 44 - n
Substituting to the first equation:
0.05n + 0.1(44 - n) = 3.10
0.05n + 4.4 - 0.1n = 3.10
-0.05n = 3.10 - 4.4
n = 26
Obtaining the value of nickels:
26 * 0.05 = 1.3
Therefore, the value of nickels that Bethany has is $1.30
When two parallel lines are intersected by a transversal line, forming the angles that are supplementary
