In 1626 the dutch bought manhattan island, now part of new york city, for about $26 worth of merchandise suppose that money was invested at an apr of 1.5%. how much would that investment be worth this year?

$10,032 (approx.)

Step-by-step explanation:

You don't say whether this is simple interest or compound interest.  I will assume that you meant compound interest.  I will also approximate the time period as 400 years (1626 through 2026).

The appropriate formula is

A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, and t is the elapsed time in years

Here,

A = $26(1 + 0.015)^400

   = $26(1.015)^400

   = $26(385.8)

   =  $10,032 (approx.)