Hi there
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
So we need to find the monthly payment pmt
Pmt=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 205000
R interest rate 0.056
K compounded monthly 12
N time 30
PMT=205,000÷((1−(1+0.056÷12)^(
−12×30))÷(0.056÷12))
=1,176.86...answer
Hope it helps
183/3: 61mph
The answer would be 61mph.
Answer: the first one is 14 and the second one is 5
Step-by-step explanation:
Answer:
x= 1
y= -3
Step-by-step explanation:
multiply them to get common factor for y or x:
3(7y+10x=-11)
10(4y-3x=-15)
21y+30x=-33
40y-30x=-150 <em>x's cancel out so solve for y</em>
61y = -183
/61 /61
y = -3 <em> insert y into either equation and solve for x</em>
<em />
<em>4(-3) -3x=-15</em>
<em>x = 1</em>
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])