Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000
Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer
Answer:
37x, 12
Step-by-step explanation:
Given:
The sum of three numbers is 12 .
The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 .
The difference between 7 times the first number and the second number is 25.
To find:
The three number.
Solution:
Let the three numbers are x, y and z respectively.
According to the question,
...(i)
...(ii)
...(iii)
From (iii), we get


Put
value in (i).



...(iv)
Put
value in (ii).



...(v)
Now, Multiply equation (iv) by 4 and subtract the result from (v).




Put x=4 in (iv).




Put x=4 in
.



Therefore, the three numbers are 4, 3 and 5 respectively.