I bibrainliest answer ko Po Ang makasagot nito.
1. A radio station offers a total prize of Php 8,500 over ten hours. The prize increases by Php 100 per hour. Find the amount of the first and last prize.
2. Matt and Kathlenn are accomplished architect in Davao City. They are hired to design the theatre with 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on. If the theatre requires 870 seating capacity, how many rows must Matt and Kathlenn use in the design?
With solutions po please and thank you :)
1. A radio station offers a total prize of Php 8,500 over ten hours. The prize increases by Php 100 per hour. Find the amount of the first and last prize.
2. Matt and Kathlenn are accomplished architect in Davao City. They are hired to design the theatre with 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on. If the theatre requires 870 seating capacity, how many rows must Matt and Kathlenn use in the design?
With solutions po please and thank you :)
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Answer:
1.) Php 400.00 and Php 1,300.00
2.) 20 rows
Step-by-step explanation:
1.) Apply the arithmetic series formula.
Now, we can determine the last prize using the arithmetic sequence formula:
2.)
The arithmetic sequence: 15, 18, 21, ... has a common difference of 3. Apply the arithmetic series formula once more.
Solving the quadratic equation, we get -29 and 20, respectively.