The monthly membership fee of the gymnasium was $95 three years ago. The fee has had annual increases of 2.8%, 5.5% and 3.3% respectively. The monthly membership fee is now:

Question

BlackTom AI · Accepted Answer

We begin by restating the problem in my own words to ensure understanding: a gym membership fee was $95 three years ago, and it has increased annually by 2.8%, then 5.5%, and then 3.3%. We need the current monthly fee after these successive increases.

First, apply the annual increases sequentially as multiplicative factors:
- After the first year: multiply by 1 + 0.028 = 1.028.
- After the second year: multiply by 1 + 0.055 = 1.055.
- After the third year: multiply by 1 + 0.033 = 1.033.

Thus the overall growth factor from the original price is 1.028 × 1.055 × 1.033.

Compute the product step by step to avoid large rounding errors:
- 1.028 × 1.055 = 1.08454.
- 1.08454 × 1.033 = 1.12032982.

Multiply the original monthly fee by this overall factor to get the current fee:
- 95 × 1.12032982 ≈ 106.4313339.

Rounding to the nearest cent gives approximately $106.43 per month.

Note on the answer options: the provided data includes an answer string 'b. $106.43' but the actual list of answer choices is empty in the given information. If options were present, this computed value would correspond to the option showing about $106.43. The calculation itself follows standard compound growth for percentage increases applied sequentially over years, which is the correct approach for this scenario.

Key concept recap: when percentages are applied in sequence, you multiply by (1 + each rate) for each year, rather than adding the percentages together, because each increase applies to the new, already-inflated amount.

The monthly membership fee of the gymnasium was $95 three years ago. The fee has had annual increases of 2.8%, 5.5% and 3.3% respectively. The monthly membership fee is now:单项选择题

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