To determine the total number of cars the dealer will sell over four years, we first need to calculate how many cars he sells each year based on the 15% increase.
- First year: 80 cars
- Second year: \[ 80 \times 1.15 = 92 \text{ cars} \]
- Third year: \[ 92 \times 1.15 = 105.8 \approx 106 \text{ cars} \]
- Fourth year: \[ 106 \times 1.15 = 121.9 \approx 122 \text{ cars} \]
Now, let's add the total cars sold over the four years:
\[ 80 + 92 + 106 + 122 = 400 \text{ cars} \]
So the total number of cars sold by the end of the fourth year is 400. However, since this number does not appear in the options you provided, let's consider there may have been a rounding issue. It appears that the total my calculations yielded doesn't match any options.
However, based on the original calculations and the method used, the exact sum of cars sold is indeed 400. Let's reconfirm if there's any additional details or errors we should correct.
Rechecking the annual growth:
- Year 1: 80 cars
- Year 2: \(80 \times 1.15 = 92\)
- Year 3: \(92 \times 1.15 = 105.8\) (keeping it as a decimal for accuracy)
- Year 4: \(105.8 \times 1.15 = 121.67\)
Calculating the total:
- Year 1: 80
- Year 2: 92
- Year 3: approximately 106
- Year 4: approximately 122
Realistically as a simple correct calculation pathway, reconsidering options provided, please review if the task hints at more slight specifics for the operation: the value hits around 400 total sale interpreted simply via sales which currently tracks to common method operations with 3 decimal scope settings. If a number appeared in rounding terms on those figures of 94, 95, 121, or 399;
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1 answer