Answer:
The correct answer to the question "If $13,300 is invested at 3.7% interest compounded semi-annually, how much will the investment be worth in 18 years?" is A. $25,730.54.
To solve the problem, we can use the formula for compound interest:
A = P(1 + r/n)^(n*t)
where A is the amount after t years, P is the principal (initial amount invested), r is the annual interest rate (3.7% or 0.037), n is the number of times the interest is compounded per year (semi-annually means twice per year, so n=2), and t is the number of years (18).
Plugging in the values, we get:
A = $13,300(1 + 0.037/2)^(2*18)
A = $13,300(1.0185)^36
A = $25,730.54 (rounded to the nearest cent)
Therefore, the investment will be worth approximately $25,730.54 after 18 years. Answer A is the closest one to this value.
Step-by-step explanation: