Given:
quarterly deposits of 2,000
8 percent compounded quarterly ⇒ 2% per quarter
4 quarters in 15 years = 60 quarters
Future Value = (1 + r) x P [{(1+r)^n - 1} / r]
FV = (1 + 0.02) x 2,000 [{(1 + 0.02)⁶⁰ - 1} / 0.02]
FV = 232, 665.14 Choice B.
Find the diameter of circle using pythagoras
d = √(Δx² + Δy²)
d = √((7-1)² + (-6-2)²)
d = √(6² + (-8)²)
d = √100
d = 10
The diameter is 10
Find the circumference
c = π × d
c = 3.14 × 10
c = 31.4
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
