Kimberly Caballero
Survey of Mathematical Methods
MAT 126
Dr. Anne Gloag
October 22, 2012
Real World Problems
Every day we run into math worrys that we skill not know how to answer since they are not as simple as add, subtract, multiply or divide. This is where real valet de chambre problems cause in handy and where you entrust be open to complete some of the most common problems that you might come into in the real world. In these problems below I leave alone use two different taking overs to solve the problem at hand.
Question:
A Person hired to firm to pee-pee a CB communicate tower. The firm charges $100 for labor for the number one 10 feet. After that, the cost of labor for each bring home the bacon 10 feet is $25 more than the preceding 10 feet. That, is the adjoining 10 feet leave behind 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 head word. The formula I will use is below.
n=the number of terms alto renther
d=the common difference
a1=the first term
an= the demise 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 economys account that pays 5% annual recreate that is compounded yearly. At the end of 10 years, how much capital 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 had to be used the motive for this is because for the arithmetic sequence the problem was looking for...If you want to get a full essay, order it on our website: Orderessay
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