MAT 126 Assignment Week 1 The Real Number System

According to Bluman (2011), “Formal logic uses statements. A statement is a sentence that can be determined to be true or false but not both at the same time”. (Bluman, A.G., 2011 p.134). 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?
For the first 10 feet charge = $100
For the (2nd) 10 feet charge = $125
For the (3rd) 10 feet charge = $150
For the (4th) 10 feet charge = $175
For the (5th) 10 feet charge = $200
For the (6th) 10 feet charge = $225
For the (7th) 10 feet charge = $250
For the (8th) 10 feet charge = $275
For the (9th) 10 feet charge = $300 Therefore, the cost to build a 90-foot tower is the sum of all above (each 10 feet):
100+125+150+175+200+225+250+275+300 =$ 1800. Hence, the cost for a 90-foot tower will be $1800.
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? 5% when converted into a decimal is .05. Dividing 100 into 5 equals 20. After multiplying the decimal (.05) times 500, the answer is 25. Therefore, each year the account will have accumulated $25 in interest. Multiply $25 by 10 (year period) equals $250. At this point, add the initial deposit of $500 + $250 = $750. The answer is at the end of 10 years, there will be $750 in the savings account.
Finally, because these mathematical statements are always going to be true given the scenarios, they are referred to as tautology. (Bluman, 2011)
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Reference:
Bluman, A. G. (2011). Mathematics in our world (1st ed. Ashford University Custom). United States: McGraw-Hill