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<h3>Given:</h3>
- l= 5 meter
- b= 4 meter
- h= 3 meter
- l= length
- b= breadth
- h= height
The volume of the given rectangular pyramid.
<h3>Solution:</h3>First, multiply the length (5), breadth (4) and height (3).
Now, divide 60 by 3.
<u>Therefore,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>rectangular</u><u> </u><u>pyramid</u><u> </u><u>is</u><u> </u><u>2</u><u>0</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>
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.