# Math Essay

490 Words2 Pages
Real World Problems Kimberly Caballero Survey of Mathematical Methods MAT 126 Dr. Anne Gloag October 22, 2012 Real World Problems Every day we run into math problems that we might not know how to answer since they are not as simple as add, subtract, multiply or divide. This is where real world problems come in handy and where you will be able to complete some of the most common problems that you might come into in the real world. In these problems below I will use two different sequences to solve the problem at hand. Question: A Person hired to firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of 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, ect. How much will it cost to build a 90-foot tower? I will use the arithmetic sequence to answer this question. The formula I will use is below. n=the number of terms altogether d=the common difference a1=the first term an= the last term n=9 d=25 a1=100 an=a9 an=a1+(n-1)d a9=100+(9-1)(25) a9=100(8)(25) a9=100+200 a9=300 sn=n(a1+a9)/2 s9=9(100+300)/2 s9=9(400)/2 s9=4.5(400)=1800 So it would cost the firm \$1,800 to build the 90 foot radio tower. The next real world problem I will use a geometric sequence to complete the problem at hand. Question: 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? B+(.05) B(1+.05) B(1.05) n=the number of terms r=the common ratio a1= the first term n=10 r=1.05 a1=500(1.05)=525 for the first year. an=a1(rn-1) a10=525(1.059) a10=525(1.55) a10=814.45 will be the balance of the saving account after 10 years of savings. With each question a different sequence