Answer:
C. $538,021.66
Step-by-step explanation:
It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,
Amount withdrawn every quarter, P = $4567
Rate of interest, r =
= 0.002525
Time period, n = 35 × 4 = 140
Now, as we know the formula for annuity as,

where P = installments, PV = present value, r = rate of interest and n = time period.
This gives, ![PV=\frac{P \times [1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7BP%20%5Ctimes%20%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
i.e. ![PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7B4567%20%5Ctimes%20%5B1-%281%2B0.002525%29%5E%7B-140%7D%5D%7D%7B0.002525%7D)
i.e. ![PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7B4567%20%5Ctimes%20%5B1-%281.002525%29%5E%7B-140%7D%5D%7D%7B0.002525%7D)
i.e. ![PV=\frac{4567 \times [1-0.7021]}{0.002525}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7B4567%20%5Ctimes%20%5B1-0.7021%5D%7D%7B0.002525%7D)
i.e. 
i.e. 
i.e. 
So, the closest answer to initial value of the account is $538,021.66
Hence, option C is correct.
18 feet 1 feet is equivalent to 12 inches
Answer = B = 376 degrees - 3x
Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)