# Algebra I

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The historical society tells him that furniture similar to his has been appreciating in value at 10% per year for the last 20 years and that his furniture could be worth \$10,000 now.

Is my expression 10,000(1+.1)^x?
If so, I have to find what it costed 20 years ago. Would I just raise the expression to the power of 20, or -20?

• Algebra I -

no

let the amount that it "costed" 20 years ago be x
then x(1.1)^20 = 10000
x = 10000/(1.1^20)

I get 1486.44

you might have seen the formula
Present Value = amount (1+i)^-n
then Present value = 10000(1.1)^-20
= 1486.44

If you know about negative exponents you will realize that the two equations are the same.

• Algebra I -

A new machine was purchased at the beginning of one year for \$200. Each year the machine loses value. It is worth 90% as much as the previous year. What is the value of the machine at the end of the 4th year.

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