Answer:
Rt = 908.25 [ohm]
Step-by-step explanation:
In order to solve this problem, we must remember that the resistors connected in series are added up arithmetically.
In this case, R2 and R3 are in series therefore.
R₂₃ = 200 + 470
R₂₃ = 670 [ohm]
Now this new resistor (R₂₃) is connected in parallel with the resistor R4. therefore we must use the following arithmetic expression, to add resistances in parallel.
![(1)/(R_(4-23) )= (1)/(R_(4))+(1)/(R_(23) ) \\(1)/(R_(4-23) )=(1)/(1800)+(1)/(670) \\R_(4-23)=488.25[ohm]](https://img.qammunity.org/2021/formulas/physics/high-school/zzkds9u7deor3zmbw3287rxcusnl95eo76.png)
In this way R₁, R₅ and R₄₋₂₃ are connected in series.
Rt = R₁ + R₅ + R₄₋₂₃
Rt = 150 + 270 + 488.25
Rt = 908.25 [ohm]