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Math Help - percent increase over years

  1. #1
    Senior Member sfspitfire23's Avatar
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    percent increase over years

    Given y is the cost of an article. If the cost of the article increases by x% every year from 1945 to 1990, then what is the formula for its cost after 45 years?

    A. x {1 + (y/100)} ^ 45
    B. y {1 + (x/100)} ^ 45
    C. y {1 + (45x/100)}
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  2. #2
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    Quote Originally Posted by sfspitfire23 View Post
    Given ‘y’ is the cost of an article. If the cost of the article increases by ‘x%’ every year from 1945 to 1990, then what is the formula for its cost after 45 years?

    A. x {1 + (y/100)} ^ 45
    B. y {1 + (x/100)} ^ 45
    C. y {1 + (45x/100)}
    After 1 year, the cost is y+(x/100)y=y{1+(x/100)}

    After the next year, the cost will be y{1+(x/100)}+y{1+(x/100)}(x/100)=y{1+(x/100)}{1+(x/100)}=y{1+(x/100)}^2

    After "n" years, the cost will be y{1+(x/100)}^n
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