<u>Answer:</u>
37th term of given arithmetic sequence = 2.3; d = -2.3 is -80.5.
<u>Solution:</u>
Given that
Need to determine 37th term, when = 2.3, d = -2.3
Means first term of arithmetic sequence = = 2.3 and common difference d = -2.3
<u><em>Formula for nth term of arithmetic sequence is </em></u>
--- equation 1
We need to determine 37th term so n = 37.
On substituting given values in equation (1) we get
Hence 37th term of given arithmetic sequence is -80.5
The cost of each option is given by the total amount required to obtain
the volume of water Janine drinks in a year.
Responses:
Number of bottles of water Janine drinks in a day = 3 bottles
Volume of a bottle = 16.9 ounces
Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5
Volume of water Janine drinks in a year = 18,505.5 ounces
Volume of water = 18,505.5 ounces = 547.273 liters
The cost of 24-packs of 16.9 ounces bottles = $3.29
Number of packs she will buy in a year is therefore;
Cost per year = 45.625 × $3.29 ≈ $150.11
The cost of a reusable bottle = $10
Cost of each option to filter 547.723 liters of water.
Total cost of a faucet mounted filter = $10 + $28 + $33 = $71.00
Total cost using the water filter = $10 + $22 + 2 × $20 = $72
The cost of using the under sink filter = $10 + $130 = $140
Therefore;
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