<u>Answer:</u>
2.5
<u>Step-by-step explanation:</u>
We are given a graph with a positive slope where the value of y increases when the value of x increases.
For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.
We know the formula of the slope = 
Substituting the given values in the formula:
Answer:
i dont know this one
Step-by-step explanation:
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.
Answer:
hello : sin(θ) = 4/25
Step-by-step explanation:
you know : cos²(θ) + sin²(θ) =1 and : cos(θ) = - 3/5
(-3/5)² + sin²(θ) =1
9/25 + sin²(θ) =1
sin²(θ) =1 -9/25
sin²(θ) = 16/25
sin(θ) = 4/25 or sin(θ) = - 4/25
in quadrant 2 : sin(θ) > 0
so : sin(θ) = 4/25
Equation: 6.50x + 21 = 60
Answer: x = 6
