# Math

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Submitted By melar6
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Math is used everyday – adding the cost of the groceries before checkout, totaling up the monthly bills, estimating the distance and time a car ride is to a place a person has not been. The problems worked this week have showed how math works in the real world. This paper will show how two math problems from chapter five real world applications numbers 35 and 37 worked out.

Number 35

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 labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the nest 10 feet will cost \$125; the next 10 feet will cost \$150, etc. How much will it cost to build a 90-foot tower?

Solving this problem involves the arithmetic sequence. The arithmetic sequence is a sequence of numbers in which each succeeding term differs from the preceding term by the same amount (Bluman, 2011).

n = number of terms altogether n = 9

d = the common differences d = 25

ª1 = first term ª1 = 100

ªn = last term ª2 = ª9

The formula used to solve this problem came from the book page 222.

ªn = ª1 + (n -1)d

ª9 = 100 + (9-1)25

ª9 = 100 + (8)25

ª9 = 100 + 200

ª9 = 300

To solve for ª9 the formula from page 224 was used.

Sn = n(ª1+ªn)2

Sn = 9(100 + 300)2

Sn = 9(400)2

Sn = 36002

Sn = 1800

The price to build the 90-foot tower is \$1800.

Number 37

A person deposited \$500 in saving account that pays 5% annul interest that is compounded yearly. T the end of 10 years, how...

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