P=1560000
APR=5.6%
monthly interest, i=5.6%/12=7/1500 [fractions keep exact values]
R=1+i=1+7/1500
# of periods, n=30 years = 360 periods
monthly payment, A
A=PR^n(i)/(R^n-1)
=1560000*(1+7/1500)^360*(7/1500)/((1+7/1500)^360-1)
=$8955.632
At the end of eight years,
number of periods, n1 = 8*12 = 96
If paid off at the end of 8 years, value of loan then
future value of principal
F1=PR^n1=1560000*(1+7/1500)^96=2439135.635
future value of payments
F2=A(R^n1-1)/i=8955.632*(1+7/1500)^96-1)/(7/1500)=1081485.620
Therefore the balloon payment
= future value of principal (owing) - future value of payments (paid)
=F1-F2
=2439135.635-1081485.620
=1357650.0152
Round to two places after decimal to get final answer.
9514 1404 393
Answer:
143.1 ft
Step-by-step explanation:
Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.
150² = 45² + d²
d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet
The horizontal distance between the man and the boat is about 143.1 feet.
A right isosceles triangle has two 45 degree angles. This means the side lengths are the same, so if one leg is a, the other leg is also a.
The hypotenuse of an isosceles triangle is the length os a leg multiplied by the square root of 2.
The hypotenuse would be: a√2
angle PQS is 71 ( the sum of angle 1 and 2)
25+46=71
