All work is shown in picture below.
It is important to notice firs of all that the train with no stop acceleration and them no stop acceleration would have a faster travel between stops. given this is safe to assume that there is a period during while the train is not accelerating nor decelerating. To find the time that is speed is constant
let's assume non-stop accelerating and decelerating and the time lost (subtraction of both) is the time the train had constant speed:
assuming same time accelerating a decelerating we have that the distance is
x = voT + 1/2aT^2 (initiial speed = 0) (0.25 miles = 1320 feets)
1320 = 1/2 (8)(T/2)^2
T/2 = 18.17 seg
T = 36.34 seg
time of constant speed
T = 41 -36.34 = 4.66 seg
maximum speed
v = v0 + aT (initial speed = 0)
v = 8(18.17) (time accelerating)
v = 145.36 feets/sec
distance at full speed
x = v*t
x = 145.36*4.66 = 677.38 feets
Answer:
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$535,528.03
Since the semiannual withdrawals will be made for 35 years, the annuity will have two payments per year.
You may use a financial calculator to calculate the balance that will match the present value of your annuity distributions when you retire. The following are the inputs:
N = 35*2 = 70 semi-annual withdrawals total time
I/Y = 4.5 percent /2 = 2.25 percent semi-annual interest rate
FV = 0 (future value) (use 0 in annuity if not given)
PMT = 15,265; semi-annual payment
Enter the functions to find PV: CPT PV = 535,528.026
As a result, the person will need $535,528.03 in cash.
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I think the answer to y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10 is B. Y=1/2. Y•15; 12/4.
Answer: A
Step-by-step explanation:
This is because diagonals of a rhombus are perpendicular not congruent, ]
Pependicular means at an angle of 90°
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