Present value of annuity PV = P(1 - (1 + r/t)^-nt) / (r/t)
where: p is the monthly payment, r is the APR = 14.12% = 0.1412, t is the number of payments in one year = 12, n is the number of years = 2.
1,120.87 = P(1 - (1 + 0.1412/12)^(-2 x 12)) / (0.1412 / 12)
0.1412(1120.87) = 12P(1 - (1 + 0.1412/12)^-24)
P = 0.1412(1120.87) / 12(1 - (1 + 0.1412/12)^-24) = $53.88
Minimum monthly payment = 3.15% of 1120.87(1 + 0.1412/12) = 0.0315 x 1120.87(1 + 0.1412/12) = $35.72
Therefore, his first payment will be greater than the minimum payment by 53.88 - 35.72 = $18.16
Use distance formula
=√(3-3)^2 +(-4-4)^2
=√64
=8
Answer:
The correct choices are; B,C,E, and F.
Step-by-step explanation:
The given equation is;
We solve for m to obtain:
We also solve the remaining equations to see which ones give the same result.
A:
B:
C:
D:
E:
F:
The equivalent equations are; B,C,E, and F.
B is slowly and A is filling more quickly because the amount of water increases during a smaller period of time.