Answer:
82 degrees
Step-by-step explanation:
Hope this helps! ^^
The total amount Ernest owes the bank after 9 months is $1,225.00
How many months of interest would be paid?
The fact the loan was taken for nine months means that the borrower, Ernest needs to pay interest for nine months, in other words, we would time-apportion the annual interest of 30% to determine the 9-month interest as shown below:
9-month interest rate=30%*9/12
9-month interest rate=22.50%
The amount Ernest is owing the bank is the principal borrowed plus the interest for 9 months as computed below:
total amount owed after 9 months=$1000*(1+22.50%)
total amount owed after 9 months=$1000*1.2250
total amount owed after 9 months=$1,225.00
Find out more about borrowing on:brainly.com/question/28188613
#SPJ1
Step-by-step explanation:
hear is answer in attachment
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)
