Answer:
The value is [tex]C = 30729\ c[/tex]
Explanation:
From the question we are told that
The power rating of the stove is [tex]P = 4.4 KW = 4.4 *10^{3} \ W[/tex]
The duration of its use everyday is [tex]t_1 = 70 \ minutes = 1.167 \ hours[/tex]
The rating of the light bulbs is [tex]P_2' = 150 W[/tex]
The number is [tex]n = 7[/tex]
The power rating of the total bulb is [tex]P_2 = 7 * 150 = 1050 \ W[/tex]
The duration of its use everyday is [tex]t_2 = 7 hours[/tex]
The power rating of miscellaneous appliance [tex]P_3 = 1.8 \ KW = 1.8 *10^{3} \ W[/tex]
The duration of its use everyday is [tex]t_3 = 1 hour[/tex]
The power rating of hot water [tex]P = 4 KW = 4 *10^{3} \ W[/tex]
The duration of its use everyday is [tex]t_4 = 120 \ minutes = 2 hours[/tex]
Generally the total electrical energy used in 1 month is mathematically represented as
[tex]E = P_1 * t_1 * 30 + P_2 * t_2 * 30 + P_3 * t_3 * 30+ P_4 * t_4 * 30[/tex]
=> [tex]E = 4.4*10^{3} * 1.167 * 30 + 1050 * 7 * 30 + 1.8 *1 * 30+ 4*10^{3} * 2 * 30[/tex]
=> [tex]E = 614598 \ W \cdot h[/tex]
=> [tex]E = 614.6 \ K W \cdot h[/tex]
Generally the monthly electricity bill is mathematically represented as
[tex]C = 614.6 * 50[/tex]
=> [tex]C = 30729\ c[/tex]
