Final answer:
The value of the resistor is 8400 ohms.
Step-by-step explanation:
A resistor's value can be determined by decoding the color bands on the resistor. In this case, the color bands are gray, yellow, red, and gold. The gray band represents the first digit, which is 8. The yellow band represents the second digit, which is 4. The red band represents the multiplier, which is 100. Therefore, the resistor's value is 84 x 100 = 8400 ohms.