You have a mortgage of $125,600.00 at a 4.95% APR. You make a payment of $1500.00 each month. What is your principal Balance at
the beginning of the third month?
1 answer:
This sort of problem is most easily worked using a financial calcualtor or app. Attached is the result of using the financial app available on a TI-84 calculator for finding future value. The arguments to the function are ...
... N — number of payments: 3
... I — annual interest rate (%): 4.95
... PV — present value: the value of the loan, 125,600
... PMT — payment amount: -1500. The sign is negative because this is money we're paying out
... P/Y — payments per year: 12 (payment is monthly)
... C/Y — compounding per year: 12 (interest is compounded monthly)
After 3 payments, the balance is $122,642.13.
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Answer:
perimeter of the shaded region = 88 +44+28 =160 cm
Step-by-step explanation:
perimeter of shaded region = length AO + arc OB + arc AB
length AO = radius of bigger circle
radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm
therefore AO = 28 cm
length of arc oB= half of circumference of smaller circle = ×14 = 44 cm
length of arc ab = half of circumference of bigger circle = ×28 =
×28= 88
therefore perimeter of the shaded region = 88 +44+28 =160 cm
area of the shaded region = half of area of bigger circle - half of area of smaller circle
=
=
solving we gen area of shaded region = 924