The bakery sells cookies for $(1-i) each. How much will 3 + 3i cookies cost?
what is (1+i)(3+3i) = ?
6i
why adding 1=I Rather then 1-i
To find the cost of 3 + 3i cookies, we need to multiply the number of cookies by the price per cookie.
The price per cookie is $(1-i), which means that each cookie costs 1 - i dollars.
So, to find the cost of 3 + 3i cookies, we need to multiply (3 + 3i) by (1 - i):
(3 + 3i) * (1 - i) = 3 * 1 + 3 * (-i) + 3i * 1 + 3i * (-i) = 3 - 3i + 3i - 3i^2.
Now we simplify:
3 - 3i + 3i - 3i^2 = 3 - 3i + 3i + 3 = 6.
Therefore, 3 + 3i cookies will cost $6.