Given:
a + bi = 13 + 9i
Equate the real parts:
a = 13
Equate the imaginary parts:
b = 9
Answer:
a =13
b = 9
Answer:
no, not proportional
Step-by-step explanation:
set up a proportion and see if cross-products are equal:
8/3 = 14/6
cross-multiply:
(8)(6) ≠ (14)(3)
48 ≠ 42
Answer:
7
Step-by-step explanation:
This is a right angle triangle.
So, by Pythagoras theorem,
√(32^2+20^2) = x
or √(1024+400) = x
or √1424 = x
or <em>37.74 = x</em>
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.
