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Math Help - Algebra Questions.

  1. #1
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    Algebra Questions.

    1.)The number missing in the sequence 2,6,12,20,x,42,56 is
    x=30
    2.)Find the seventh term of the pattern 0^0 , 1^1, 2^2, 3^3… in standard form
    im guessing 6^6. But what is standard form?




    3.)The first term of an arithmetic sequence is 33. The common difference is 5. What is the 7^th term in the sequence?
    Is it the seventh term or the 7^th term?


    4.)Kim bought 4 fish. Every month the number of fish she has doubles. After m months she will have F fish, where F = 4x2^m . How many fish will Kim have after 2 months? 16 fish

    5.)Steve wishes to contribute $3,500 to his favorite charities, A and B, in the ratio of 2 to 3. The amount he should contribute to A is : 1,400

    6.)John earns $10 per hour, and Rick earns $ 8 per hour. How long must Rick work in order to earn the same amount of money as John earns in 5 hours?

    7.)Jose, a traveling salesman, wants to buy a cell phone to use while he is on the road. His employer allows him $50.00 a month for this expense. He researches different options. Company A’s rate is a min charge of $15.00 per month and $2.00 per minute of usage. Company B’s rate is $17.00 per month and $1.50 per minute usage.

    a)Write two equations representing each company’s monthly rate in term of minutes.
    b)For his $50.00 per month allowance, how many minutes of usage will he get from each company?
    c)Which company permits more usage and by how many minutes?
    d)Jose contracts with Company B . In March, Jose uses his cell phon for 19 minutes. What was his monthly bill for March?


    Im working on the others now, will edit in a few.




    Mr F edit: From the double post by the OP:

    Here are my answers

    1. 30
    2. 4.6656 x 10^4
    3. 63
    4. 16 fish.
    5. $1400
    6. 6 hours 25 mins
    7. a. Company A: R = $15 + $2(m). Company B: R = $17 + $1.5(m)
    b. Company A: 17.5 minutes. Company B: 22 minutes
    c. Company B by 4 1/2 minutes
    d. $45.5

    Not sure about #3.
    Last edited by mr fantastic; February 23rd 2009 at 01:37 AM. Reason: Why not ...? It will only be the millionth or so time that this post has been edited.
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by NYCKid09 View Post
    1.)The number missing in the sequence 2,6,12,20,x,42,56 is
    x=30.. yes
    2.)Find the seventh term of the pattern 0^0 , 1^1, 2^2, 3^3… in standard form
    im guessing 6^6. But what is standard form?




    3.)The first term of an arithmetic sequence is 33. The common difference is 5. What is the 7^th term in the sequence?
    Is it the seventh term or the 7^th term?
    a_n=a_a + (n-1)d


    4.)Kim bought 4 fish. Every month the number of fish she has doubles. After m months she will have F fish, where F = 4x2^m . How many fish will Kim have after 2 months? 16 fish... you have to compute F=4\cdot 2^2

    5.)Steve wishes to contribute $3,500 to his favorite charities, A and B, in the ratio of 2 to 3. The amount he should contribute to A is : 1,400 yes..

    6.)John earns $10 per hour, and Rick earns $ 8 per hour. How long must Rick work in order to earn the same amount of money as John earns in 5 hours?

    7.)Jose, a traveling salesman, wants to buy a cell phone to use while he is on the road. His employer allows him $50.00 a month for this expense. He researches different options. Company A’s rate is a min charge of $15.00 per month and $2.00 per minute of usage. Company B’s rate is $17.00 per month and $1.50 per minute usage.

    a)Write two equations representing each company’s monthly rate in term of minutes.
    b)For his $50.00 per month allowance, how many minutes of usage will he get from each company?
    c)Which company permits more usage and by how many minutes?
    d)Jose contracts with Company B . In March, Jose uses his cell phon for 19 minutes. What was his monthly bill for March?


    Here are my answers

    1. 30
    2. 4.6656 x 10^4
    3. 63
    4. 16 fish.
    5. $1400
    6. 6 hours 25 mins.. yes
    7. a. Company A: R = $15 + $2(m). Company B: R = $17 + $1.5(m)
    b. Company A: 17.5 minutes. Company B: 22 minutes
    c. Company B by 4 1/2 minutes
    d. $45.5

    item 7.. yes

    Not sure about #3.
    ...
    Last edited by kalagota; February 22nd 2009 at 09:28 PM.
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  3. #3
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    So is the fish problem 20?

    Or 16?
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  4. #4
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    I need confirmation for #3 and 4
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  5. #5
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    Quote Originally Posted by NYCKid09 View Post
    I need confirmation for #3 and 4
    I think if you post less problems per thread, which by the rules is only supposed to be 1, then you will get more help here. I would also suggest seeing this thread for tips on the best way to receive help.
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  6. #6
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    Quote Originally Posted by NYCKid09 View Post
    2.)Find the seventh term of the pattern 0^0 , 1^1, 2^2, 3^3 in standard form
    im guessing 6^6. But what is standard form?

    3.)The first term of an arithmetic sequence is 33. The common difference is 5. What is the 7^th term in the sequence?
    Is it the seventh term or the 7^th term?
    (2) 6^6=46656=4.6656x10^4

    (3)a=33 , d=5

     <br />
T_7=a+(n-1)d , sub appropriately . <br />
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  7. #7
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    Alright, so what about #4?

    Thats really the only thing thats left
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  8. #8
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    you are right .

    4,8,16 .
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  9. #9
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by NYCKid09 View Post
    So is the fish problem 20?

    Or 16?
    16..
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  10. #10
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    Quote Originally Posted by kalagota View Post
    16..
    You know what. I'm just going to close this thread. It is a complete shambles - it contains posts I've moved from a thread where these questions have been double posted, and the OP has made repeated edits to the original post.
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