Real World Applications 35. A person hired a ?rm to build a CB radio tower. The ?rm charges $100 for labor for the ?rst 10 feet. After that, the comprise of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet impart exist $125, the next 10 feet leave price $150, etc. How much testament it cost to build a 90-foot tower? This business involves arithmetic place since labor cost for each nonparallel 10 ft. remains constant at $25 The arithmetic sequence of the labor costs is 100, 125, 150, 175, 200, 225, 250, 275, three hundred For finding the cost for construct a 90-foot tower, we sum the start-off 9 terms of the above sequence a = 100, d = 25, n = 9 Sn = (n/2)[2a + (n - 1)d] S9 = (9/2)[2 * 100 + (9 - 1)(25)] = 1800 The cost will be $1800 37.
A person deposited $500 in a savings account that pays 5% annual touch on that is compounded yearly. At the end of 10 years, how much notes will be in the savings account? This maths occupation is a geometric sequence and the formula we will rehearse to work on the problem is A = P(1 + r/n)^(nt). Here is how we solve it. P = $500, t = 10 years, r = 5% or 0.05 , n = 1 (annually compound) So we drive to find A (compounded amount) A = 500(1 + 0.05/1)^(1*10) = 500(1.05)^10 = $814.45If you want to view a full essay, arrange it on our website:
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