The total salary over the 40-year period can be calculated using the formula for the sum of an infinite geometric sequence.
Let's first find the common ratio for the sequence of salaries. This is calculated by taking the ratio of any two consecutive terms in the sequence. In this case, the ratio of the second term to the first term is 1 + 0.05 = 1.05. This is the common ratio for the sequence of salaries.
Next, we can use the formula for the sum of an infinite geometric sequence, which is:
$S_\infty = \frac{a_1}{1 - r}$
where $S_\infty$ is the sum of the infinite geometric sequence, $a_1$ is the first term in the sequence (in this case, the first year's salary of $35,000), and $r$ is the common ratio (1.05 in this case).
Substituting these values into the formula, we get:
$S_\infty = \frac{35000}{1 - 1.05} = \frac{35000}{-0.05} = -7000000$
This is the sum of an infinite geometric sequence, so we need to multiply it by the number of terms in the sequence (40) to find the total salary over the 40-year period. Multiplying by 40, we get:
$-7000000 * 40 = -2800000000$
Rounding to the nearest cent, the total salary over the 40-year period is $-2800,000,000.00