Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
56,000 = P(1 - 0.2238)
P = 56,000 / 0.7761 = 72,148.83
Therefore, the monthly payment is $72,148.83
Answer:
w⁴+5w³+17w²+24w +18
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = w²+3w+9
width = w²+2w+2
Area of the rectangle = (w²+3w+9)(w²+2w+2)
Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)
Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18
Collect the like terms;
Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18
Area of the rectangle = w⁴+5w³+17w²+24w +18
Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18
The picture in the attached figure
step 1we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2
step 2In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a
triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35
hence
the answer isx+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]
Answer: x= 1/2k
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
Acceleration due to gravity is 32.2 ft/s^2
68=32.2t
t=2.11 seconds
h=68t-32.2/2*t^2
h(2.11)=68*2.11-32.2/2*2.11^2
h=71.8 feet