Algebra

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2. A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges?

15. A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water.

20. Solve: 5x^2 - 10x = 0

50. (x-1)(x^3 + x^2 + x) =?

Thanks
-MC

  • Algebra -

    2. C1=C2 7.95+.05X=9.95+.03X
    .05X-.03X=9.95-7.95
    X=100 Minutes
    CI=Cost at 1st company
    C2=Cost at 2nd company

  • Algebra -

    15. Rate upstream=30/4=7.5m/hr
    Rate downstream=30/2.5=12m/hr
    Rate in stillwater=(7.5+12)/2=9.75m/hr

  • Algebra -

    50. (x-1)(x^3+x^2+x)=x^4+x^3+x^2-x^3-x^2-x=x^4-x=x(x^3-1)

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