Answer:
1/4
Step-by-step explanation:
2/3 multiply top and bottom of fraction by 2
4/6 is the capacity of the container
1/6 is filled
so 1/4 of the container is filled
<span>|5x − 6| = −41 it has no solutions because module ( abs value) cannot be negative
|7x + 13| = 27 -(7x+13)=27
7x+13=27 -7x-13=27
7x=14 -7x=40
x=2 x=-40/7
check: </span>|7*(-40/7) + 13| = 27 , |-40 + 13| = 27, |-27| = 27 correct<span>
There are no statements, so I cannot choose the correct one</span>
The answer would be 1.25.
Part A: monthly payment
Initial loan after downpayment,
P = 320000-20000= 300,000
Interest rate per month,
i = 0.06/12= 0.005
Number of periods,
n = 30*12= 360
Monthly payment,
A = P*(i*(1+i)^n)/((1+i)^n-1)
= 300000(0.005(1.005)^360)/(1.005^360-1)
= 1798.65
Part B: Equities
Equity after y years
E(y) = what they have paid after deduction of interest
= Future value of monthly payments - cumulated interest of net loan
= A((1+i)^y-1)/i - P((1+i)^y-1)
= 1798.65(1.005^y-1)/.005 - 300000(1.005^y-1)
= (1798.65/.005-300000)(1.005^y-1)
Equity E
for y = 5 years = 60 months
E(60) = (1798.65/.005-300000)(1.005^60-1) = 18846.17
for y = 10 years = 120 months
E(120) = (1798.65/.005-300000)(1.005^120-1) = 45036.91
y = 20 years = 240 months
E(240) = (1798.65/.005-300000)(1.005^240-1) = 132016.53
Check: equity after 30 years
y = 30 years = 360 months
E(360) = (1798.65/.005-300000)(1.005^360-1) = 300000.00 .... correct.
Make a proportion to find the percent:
25/64 = x/100
Multiply 25 and 100, then divide that answer by 64. Then add a percent symbol.
25*100 =2500
2500/64 = 39.0625
39.0625%
