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Sagot :
First, let's visualize the number of baseball cards Tom has every year.
Beginning = 150 cards
After 1 year = 150 + 150 (4%) = 150 (1 + 4%) = 156 cards
After 2nd year = 156 (1 + 4%) = 162.24 cards
After 3rd year = 162.24 (1 + 4%) = 168.7296 cards
After 4th year = 168.7296 (1 + 4%) = 175.479 cards
From this, we can see that the formula to get the number of cards in "n" years is this:
1. 1 year: 150(1.04) = 156 cards
2. 2nd year: [(150)(1.04)][1.04] = 162.24 cards
3. 3rd year: {[(150)(1.04)][1.04]}{1.04} = 168.7296 cards
or in general, the formula is:
[tex]a_n=150(1.04)^n[/tex]where "n" is the number of years. The answer is Option C.
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