Answer:
x=8.94 ; y = 1.58; z=2.02
Step-by-step explanation:
solve 10x+4y+12z = 120 → 5x+2y+6z = 60
8x + 2y +32Z = 160 → 4x+y+16z = 80
To eliminate z multiply first equation by 16 and second equation by 6.
80x+32y+96z = 960
24x+6y+96z = 480
on subtractionwe get 56x+26y = 480
dividing by 2 we get, 28x + 13y = 240
Now we have a given equation 11x + 77y = 220 → x + 7y = 20
solving 28x + 13y = 240 and x + 7y = 20
28x + 13y =240
28x + 216y = 560
subtracting we get, 203y = 320
y = 1.58
x = 8.94
z = 2.02
Answer:
it wont let me write the graph
Step-by-step explanation:
P=1560000
APR=5.6%
monthly interest, i=5.6%/12=7/1500 [fractions keep exact values]
R=1+i=1+7/1500
# of periods, n=30 years = 360 periods
monthly payment, A
A=PR^n(i)/(R^n-1)
=1560000*(1+7/1500)^360*(7/1500)/((1+7/1500)^360-1)
=$8955.632
At the end of eight years,
number of periods, n1 = 8*12 = 96
If paid off at the end of 8 years, value of loan then
future value of principal
F1=PR^n1=1560000*(1+7/1500)^96=2439135.635
future value of payments
F2=A(R^n1-1)/i=8955.632*(1+7/1500)^96-1)/(7/1500)=1081485.620
Therefore the balloon payment
= future value of principal (owing) - future value of payments (paid)
=F1-F2
=2439135.635-1081485.620
=1357650.0152
Round to two places after decimal to get final answer.