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Mathematics 22 Online
OpenStudy (anonymous):

i need some to please help me asap

OpenStudy (lalaly):

help you with wat

OpenStudy (anonymous):

#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 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?"

OpenStudy (anonymous):

im getting 300 as my answer

OpenStudy (anonymous):

if you need me to supply you with the atachment that my instructor gave me i will

OpenStudy (anonymous):

OpenStudy (anonymous):

pross do you think you can help me

OpenStudy (anonymous):

Do u mind me calling you star

OpenStudy (anonymous):

im getting an answer of 1800... i worked it out the long way though im trying to find a way to explain it through sequences

OpenStudy (anonymous):

okay im also going to need to show me the long way cause i was coming up with 300

OpenStudy (anonymous):

ok...so lets try and work through this 10 ft = 100 20 ft= 125 30 ft = 150 40 ft = 175 50 ft= 200 60 ft = 225 70 ft = 250 80 ft = 275 90 = 300 so if you were to add all those up youd get 1800 though its pretty time consuming and im sure there is another way

OpenStudy (anonymous):

the \[an=a1+(n-1)d\] is what they have us using

OpenStudy (anonymous):

actually yeah, i just had a look at the attachement and youre supposed to use series do you know how to use that equation as that would give you 100 + (n-1)25

OpenStudy (anonymous):

Sorry i know that it seems really bad and again im sorry my instructor is being pickie

OpenStudy (anonymous):

yes i do but i have never had to show my work before not even in High school

OpenStudy (anonymous):

brb

OpenStudy (anonymous):

ok im back

OpenStudy (anonymous):

so your formula for the sequence would be 100+25(n-1) and your aritmetic sequence would look something like this 100,125,150.... with a common difference of 25 so since you know that 1st term = 10 ft 2nd term=20 ft etc... that means that the 9th term = 90 feet right? so you then have to use another formula for the sum of terms its something like : Sn = [n(A1+An] / 2 ok?

OpenStudy (anonymous):

sn=n\[Sn=n(a1+a18) divided by 2\]

OpenStudy (anonymous):

yes where Sn = the sum of terms (or in this case the total amount paid)

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

so youll need A1 = 100 and An = 9 because the 9th term is the 90 feet one right but we dont have An...so we put 9 back into the first eq to find the value of the 9th term and get...100+25(9-1) =300

OpenStudy (anonymous):

once you are done showing me can you show me what it should look like when im done writing it all out

OpenStudy (anonymous):

i know that im being a pain but i have never had to show my work

OpenStudy (anonymous):

would you like me to send the attachment that im looking at?

OpenStudy (anonymous):

:D ...ok anyways...to keep it short... you have A1 = 100 and An = 300 and n =9 so put it back into the 2nd eq to get the total which would be: ---> 9(100+300) divided by 2 = 1800...thats your answer :)

OpenStudy (anonymous):

its cool...ive already got the attachment...the one at the top right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so...to answer your questions... 1)show the sequence: the sequence is:---> 100 + (n-1)25 and 2) the cost to build the tower is : $1800

OpenStudy (anonymous):

so the sequence is: arithmetic

OpenStudy (anonymous):

yep :) and for the working just put in the equations that you used and show how you substituted the values

OpenStudy (anonymous):

i have never done that

OpenStudy (anonymous):

i have always done it in my head

OpenStudy (anonymous):

you see why im having trouble

OpenStudy (anonymous):

right... 1) show the sequence: 100,125,150...etc 2) show that the common diff is 25 3) then show how you used the formula: a1+(n-1)d by substituting the values 4) show how to you got An by substituting n for 9 5) then show how you used the formula: n(a1+An) / 2 and show that you got the total cost as 1800 that should be sufficient :)

OpenStudy (anonymous):

STEPS/CALCULTATIONS YOU PERFORMED TO REACH THE ANSWER:

OpenStudy (anonymous):

yep, those are the above...i think they should be ok

OpenStudy (anonymous):

they are asking for the steps showing how i ended up with 1800

OpenStudy (anonymous):

they want the math

OpenStudy (anonymous):

and that was what i was showing you with all those equations and all...tell you what, if you really know...just try and work through it and use the equations as a guideline

OpenStudy (anonymous):

or you could also check out this site http://regentsprep.org/Regents/math/algtrig/ATP2/ArithSeq.htm

OpenStudy (anonymous):

Misti are you still needing help with this?

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