Answer:
3,432 m²
Step-by-step explanation:
The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)
Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)
✔️Surface area of ½-cylinder = ½[2πr(h + r)]
r = ½(0.4) = 0.2 m
h = 0.6 m
π = 3.14
Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]
= 0.628(0.8)
Surface area of ½-cylinder = 0.5024 m²
✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)
L = 0.6 m
W = 0.4 m
H = 0.55 m
Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)
Surface area of rectangular box = 1.58 m²
✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²
✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)
= 0.5024 + 1.34
= 1.8424
Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912
= 3,432 m²
Answer:
it is (-4,8)
Step-by-step explanation:
∠1 and ∠8 are alternate exterior angles and ∠3 and ∠6 are alternate interior angles
step-by-step explanation:
When the transversal crosses line m and n, alternate angles are the pair of angles formed on the outside of each of the lines and opposite side of the transversal (∠1 and ∠8). However,alternate interior angles will form opposite of the transversal but inside the lines.(∠3 and ∠6 ).
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Keywords : Transversal, angles
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Answer:
value of buyout is $4185.74
Step-by-step explanation:
given data
car worth = $25077
down payment = $3560
monthly payment = $336 = 336 × 6 = $2016 per semi annually
time = 5 year = 10 half yearly
rate = 4.04 %
to find out
value of final buyout
solution
we know here loan amount will be 25077 - 3560 = $21517
and we find present value first by formula that is
present value = 
put here t = 10 and r = 
so
present value = 
present value = 18089.96
so
loan unpaid amount is here
loan unpaid amount = 21517 - 18089.96
loan unpaid amount = $3427.04
so
now we calculate value of buyout
that is express as
amount = principal × 
amount = 3427.04 × 
amount = 4185.74
so value of buyout is $4185.74
