text: # Math
  
  posted by on .
  
  Can you please explain step by step on how to do each of these two problems below? And then tell me whether it involves an arithmetic sequence or a geometric sequence I also need the work shown out for both problems thank you.
  
  1). A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will cost \$150, etc. How much will it cost to build a 90-foot tower?
  
  2). A person deposited \$500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
  
  • Math - ,
  
  ost = 100 + 125 + 150 + 175 + for 9 terms
  
  This is an arithmetic series
  a = 100
  d = 25
  n = 9
  Sum(9) = (9/2)(2(100) + (9-1)(25))
  = (9/2)(200 + 200) = 1800
  
  2)
  
  amount = 500(1.05)^10 = 814.45
  
  • Math - ,
  
  what is the arithmetic oe 3,5,7,9,and 11
  
  • Math - ,
  
  Mary has been working at the university for 25 years, with an excellent record of service. As a result, the board wants to reward her with a bonus to her retirement package. They are offering her \$75,000 a year for 20 years, starting one year from her retirement date and each year for 19 years after that date. Mary would prefer a one-time payment the day after she retires. What would this amount be if the appropriate interest rate is 7%?
explanation: The document contains multiple math problems and their solutions. It starts with a request to solve two specific problems, one involving the cost of building a tower and the other about compound interest in a savings account. The solutions are provided, and the document also includes an additional question about an arithmetic sequence and a bonus retirement package calculation.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Math
  
  posted by on .
  
  Can you please explain step by step on how to do each of these two problems below? And then tell me whether it involves an arithmetic sequence or a geometric sequence I also need the work shown out for both problems thank you.
  
  1). A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will cost \$150, etc. How much will it cost to build a 90-foot tower?
  
  2). A person deposited \$500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
  
  • Math - ,
  
  ost = 100 + 125 + 150 + 175 + for 9 terms
  
  This is an arithmetic series
  a = 100
  d = 25
  n = 9
  Sum(9) = (9/2)(2(100) + (9-1)(25))
  = (9/2)(200 + 200) = 1800
  
  2)
  
  amount = 500(1.05)^10 = 814.45
  
  • Math - ,
  
  what is the arithmetic oe 3,5,7,9,and 11
  
  • Math - ,
  
  Mary has been working at the university for 25 years, with an excellent record of service. As a result, the board wants to reward her with a bonus to her retirement package. They are offering her \$75,000 a year for 20 years, starting one year from her retirement date and each year for 19 years after that date. Mary would prefer a one-time payment the day after she retires. What would this amount be if the appropriate interest rate is 7%?
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains multiple math problems and their solutions. It starts with a request to solve two specific problems, one involving the cost of building a tower and the other about compound interest in a savings account. The solutions are provided, and the document also includes an additional question about an arithmetic sequence and a bonus retirement package calculation.
  
  Label: multiple-question-and-answer