To find the total amount of the investment after 6 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the total amount after 6 years
P = the principal amount (the initial investment), which is 15000 in this case
r = the annual interest rate, which is 4.2% expressed as a decimal (0.042)
n = the number of times the interest is compounded per year, which is usually 12 for monthly compounding, 4 for quarterly compounding, and 1 for annual compounding
t = the number of years, which is 6 in this case
Plugging in the values, we get:
A = 15000(1 + 0.042/1)^(1*6)
A = 15000(1.042)^6
A = 15000(1.284)
A = 19260
Therefore, the total amount of the investment after 6 years is $19,260.