Answer:
See below
Step-by-step explanation:
Let's take it part by part:
(3-4)+(11+21)-3
-1+(32)-3
-4+32
28
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Amount withdrawn every quarter, P = $4567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.
Answer:
it would be the same as rowing normal speed because you loose 20% for 5 mi and gain 20% back for 5 mi
Step-by-step explanation:
Answer:
85x
Step-by-step explanation:
Add 4 and 3 . 5 x ( 28 − 4 − 1 * 7 ) Multiply − 1 by 7.
5 x ( 28 − 4 − 7 )
Simplify the expression. Subtract 4 from 28.
5 x ( 24 − 7 )
Subtract 7 from 24.
5 x * 17
Multiply 17 by 5.
85 x
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is

where b is the length side of the square
we have

substitute


therefore

step 2
Find the area of ACIG
The area of rectangle ACIG is equal to

substitute the given values

step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to

we have


substitute

step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to

we have


substitute

step 5
sum the shaded areas

step 6
Divide the area of of the shaded region by the area of ACIG

Simplify
Divide by 5 both numerator and denominator

therefore
The fraction of the area of ACIG represented by the shaped region is 7/18