Answer:
$7462 to the nearest dollar.
Step-by-step explanation:
10000 = P(1 + 0.05)^6 where P is the initial investment.
10000 = P * 1.05^6
Taking logs:
log 10000 = log P + 6 log 1.05
log P = log 10000 - 6 log 1.05
log P = 4 - 0.127136 = 3.872864
P = 7462