A collector purchased a rare coin for $100. After the purchase, the coin’s value increased by 10.25% per year for the first x years and 5% per year for the next yy years. The expression 1.1025^x⋅1.05^y, when multiplied by 100, reveals the value of the coin, in dollars, (x+y) years after the coin was purchased. The collector simplified the expression to 1.05x+2y, but he made a mistake. How can the collector correct his mistake?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
A collector purchased a rare coin for $100. After the purchase, the coin’s value increased by 10.25% per year for the first x years and 5% per year for the next yy years. The expression 1.1025^x⋅1.05^y, when multiplied by 100, reveals the value of the coin, in dollars, (x+y) years after the coin was purchased. The collector simplified the expression to 1.05x+2y, but he made a mistake. How can the collector correct his mistake?
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