Five goes into 11, two times. So each friend gets two cookies and 1/5 of the last one. So the answer is 2 and
1/5
Where they intersect is (-1,2) hope this helps
Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
Answer:
lol
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.
