Find the area of the composite figure
1 answer:
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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.
Answer:
v = 12 km/h
Step-by-step explanation:
To find how much she should increase the speed first we need to find the distance traveled:
Where:
d: is the distance traveled =?
v: is the velocity = 8 km/h
t: is the time = 15 min (9:00 to 9:15)
Now, we can find the speed:
Therefore, she should increase the speed to 12 km/h to reach the office at 9:10 am.
I hope it helps you!