To estimate the total amount of the investment after 32 years, given that the investment increases 1.5 times every 10 years, we can break it down into periods of 10 years.
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After 10 years: \[ 1,500 \times 1.5 = 2,250 \]
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After 20 years: \[ 2,250 \times 1.5 = 3,375 \]
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After 30 years: \[ 3,375 \times 1.5 = 5,062.50 \]
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For the remaining 2 years (from 30 to 32 years), we can assume the growth over that period is minimal compared to the previous intervals and can estimate it based on fractional growth. If we think of the increase being roughly linear over 10 years, for the extra 2 years: \[ \text{Growth rate per year} = \frac{1.5 - 1}{10} = 0.05 \] So, for 2 additional years: \[ \text{Growth factor} \approx 1 + (0.05 \times 2) = 1 + 0.10 = 1.10 \] Now apply this to the amount after 30 years: \[ 5,062.50 \times 1.10 \approx 5,568.75 \]
So, based on these calculations, the total amount after 32 years is approximately $5,568.75. The closest option provided in your list is $5,500.
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