Answer:
$524,286 during the course of 18 months.
Step-by-step explanation:
One of the properties of exponents states the following: (a/b)n= an/bn . Therefore, the given expression can also be written as 53/83 . 10. D: The situation describes a geometric series, with a common ratio of 2. The formula for finding the sum of a finite geometric series is Sn=(a1 (1-rn)/(1-r), where Snrepresents the sum of n terms, a1 represents the value of the initial term, r represents the common ratio, and n represents the number of terms. Substituting 2 for a1, 2 for r, and 18 for n gives: S18=2(1-218)/(1-2) or S18=524,286. Thus, he would save $524,286 during the course of 18 months.