Express 11/17 as a decimal.(Round to the nearest thousandths)
1 answer:
You might be interested in
John's payments are
month 1: $100
month 2: $100*(1.1)
month 3: $100*(1.1)²
month 4: $100*(1.1)³
...
The payments form the geometric sequence
a, ar, ar², ..., arⁿ
where
a = $100
r = 1.1
The sum of the first n terms is
Therefore the sum of the first 20 payments is
S₂₀ = [$100(1 - 1.1²⁰)]/(1 - 1.1)
= $5727.50
John makes a total of $5727.50 in the first 20 payments.
month 1: $100
month 2: $100*(1.1)
month 3: $100*(1.1)²
month 4: $100*(1.1)³
...
The payments form the geometric sequence
a, ar, ar², ..., arⁿ
where
a = $100
r = 1.1
The sum of the first n terms is
Therefore the sum of the first 20 payments is
S₂₀ = [$100(1 - 1.1²⁰)]/(1 - 1.1)
= $5727.50
John makes a total of $5727.50 in the first 20 payments.