Answer: $9,000 is invested in the 5% bond, and $24,000 is invested in the 6.5% bond.
Step-by-step explanation: x + y = 33,000 (the full sum contributed)
We too know that the yearly intrigued earned is $2,010.00, which is the whole of the intrigued earned from each bond. Utilizing the equation for basic intrigued:
intrigued = principal x rate x time
ready to calculate the intrigued earned from each bond:
0.05x (for the 5% bond)
0.065y (for the 6.5% bond)
So we have another condition:
0.05x + 0.065y = 2,010
Presently we have two conditions with two factors, which we are able illuminate utilizing substitution or end.
Let's utilize substitution:
x + y = 33,000 --> y = 33,000 - x
0.05x + 0.065y = 2,010 --> 0.05x + 0.065(33,000 - x) = 2,010
Streamlining:
0.05x + 2,145 - 0.065x = 2,010
-0.015x = -135
x = 9,000
So the sum contributed within the 5% bond is $9,000, and the sum contributed within the 6.5% bond is:
y = 33,000 - x = 33,000 - 9,000 = $24,000