1. X= - 1 5y/7
2. X= 2y/9 - 1
I hope this helps. :)
Given:
Principal = $1290
Rate of simple interest = 4%
Time = 9 months
To find:
The interest and total saving in the account altogether.
Solution:
The formula for simple interest is
...(i)
where, P is principal, r is rate of interest and t is time in years.
We know that,
Putting P=1290, r=4 and t=0.75 in (i), we get
So, the simple interest is $38.70.
Total savings is
Therefore, the total amount in the account altogether is $1328.70.
The probability is the probality of being designated a a management trainee (i.e. 30%) * the probability of not be appointed to a management posittion (i.e. 25%, which comes from 20% to be assigned to nonmanagerial position + 5% of being fired).
Result: 30% * 25% = 7.5%.
Answer: 7.5%.
Area = length x width
264 = length x 11
/11 /11
24 = length
ANSWER: 24 yards = length
PLEASE RATE AS THE BRAINLIEST ANSWER! THANK YOU! :)
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
