Answer:
2![\sqrt{34}](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D)
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = ![\sqrt{(4+2)^2+(-6-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%284%2B2%29%5E2%2B%28-6-4%29%5E2%7D)
= ![\sqrt{6^2+(-10)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E2%2B%28-10%29%5E2%7D)
= ![\sqrt{36+100}](https://tex.z-dn.net/?f=%5Csqrt%7B36%2B100%7D)
=
=
=
×
= 2![\sqrt{34}](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D)
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 = ![\frac{amount(1+r)^t - 1}{r (1+r)^t}](https://tex.z-dn.net/?f=%5Cfrac%7Bamount%281%2Br%29%5Et%20-%201%7D%7Br%20%281%2Br%29%5Et%7D)
put here t = 10 and r = ![\frac{4.04}{200}](https://tex.z-dn.net/?f=%5Cfrac%7B4.04%7D%7B200%7D)
so
present value = ![\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}](https://tex.z-dn.net/?f=%5Cfrac%7B2016%281%2B%5Cfrac%7B4.04%7D%7B200%7D%29%5E10%20-%201%7D%7Br%20%281%2B%5Cfrac%7B4.04%7D%7B200%7D%29%5E10%7D)
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 × ![(1+r)^{t}](https://tex.z-dn.net/?f=%281%2Br%29%5E%7Bt%7D)
amount = 3427.04 × ![(1+\frac{4.04}{200})^{10}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7B4.04%7D%7B200%7D%29%5E%7B10%7D)
amount = 4185.74
so value of buyout is $4185.74
Answer:4566878888
Step-by-step explanation:
Answer:
Side length of square (inches): 1 ,2, 4, 7
Perimeter of square (inches). : 4, 8, 16, 28
Step-by-step explanation:
Ratio is 1:4 (S:P).
So:
#:8, #=2. This is because 2/8 and 1/4 both = 0.25.
#:16, #=4. 4/16=0.25
7:#, #=28. 4x7=28, 7/28=0.25
Hope that helps
B dhs.3200
because 10% of 4000=400
20%=800
4000-800=3200