(5, -1)(10, 2) are solutions to this equation
Answer:
32.5 miles on the 7th day
Step-by-step explanation:
1, 1.5, 2.5, 4.5
We need to determine the pattern
We are adding .5 + 1/4(2^n)
Lets check
n=1 .5+ 1/4(2) = .5+ .5 =1
n =2 .5 + 1/4*2^2 = .5 +1 = 1.5
n=3 .5 + 1/4 ( 2^3) = .5 + 8/4 = 2.5
n=4 .5 + 1/4 (2^4) = .5 + 16/4 = 4.5
n = 5 .5 + 1/4 (2^5) = .5 +32/4 = 8.5
n = 6 .5 + 1/4 (2^6) = .5 + 64/4 =16.5
n=7 .5 + 1/4(2^7)= .5 + 1/4(128) = 32.5
They bike 32.5 miles
Answer:
The calculated dollar-weighted rate of return, Y = -25%.
Step-by-step explanation:
The time-weighted rate of return is 0%
Therefore, (12/10)*( X/(12 + X)) = 1
12X = 120 + 10X -> X = 60
The dollar-weighted rate of return,Y is calculated below as:
Y = (X-(10 + X))/(1*10+X/2)
Y = (60-(10+60))/(1*10+60/2)
Y = (60 - 70)/(10+30)
Y= -10/40
Y = -25%
Therefore, the calculated dollar-weighted rate of return, Y = -25%.
Answer:
y=1/6 · ln |x|+c .
Step-by-step explanation:
From Exercise we have the differential equation
4xy dx= (4y6x²) dy.
We calculate the given differential equation, we get
4xy dx= (4y6x²) dy
xy dx=6yx² dy
6 dy=1/x dx
∫ 6 dy=∫ 1/x dx
6y=ln |x|+c
y=1/6 · ln |x|+c
Therefore, we get that the solution of the given differential equation is
y=1/6 · ln |x|+c .