This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
2.1 Step 1: Locate the tariff for block 1 in TABLE 1. Block 1 is "1 - 100 KWh" with a cost of "209,70c" per KWh. Step 2: Convert the tariff from cents to rands. Since 1 Rand = 100 cents, divide the cents value by 100. Tariff for block 1 in rands = 209,70 c100 c/R Tariff for block 1 in rands = 2,0970 R The tariff for block 1 in rands is R2,0970. 2.2 Step 1: Identify the previous and current meter readings from ANNEXURE A. Previous Reading (28/02/2023) = 23 901 KWh Current Reading (31/03/2023) = 24 501 KWh Step 2: Calculate the total KWh used (D) by subtracting the previous reading from the current reading. D = Current Reading - Previous Reading D = 24501 KWh - 23901 KWh D = 600 KWh The value of D, the amount in kilowatt (KWh) used in March 2023, is 600 KWh. 2.3 Step 1: Convert the total amount paid from cents to rands. Total amount paid = 101 277.5 cents Total amount paid in Rands = 101277,5 c100 c/R = R1012,775 Step 2: Calculate the cost for each full block of electricity usage based on TABLE 1. • Block 1 (1 - 100 KWh): 100 KWh at 209,70c/KWh (R2,0970/KWh) Cost for Block 1 = 100 KWh × R2,0970/KWh = R209,70 Remaining amount = R1012,775 - R209,70 = R803,075 • Block 2 (101 - 400 KWh): This block covers 300 KWh (400 - 100). Tariff is 245,41c/KWh (R2,4541/KWh). Cost for Block 2 = 300 KWh × R2,4541/KWh = R736,23 Remaining amount = R803,075 - R736,23 = R66,845 • Block 3 (401 - 650 KWh): This block covers 250 KWh (650 - 400). Tariff is 267,38c/KWh (R2,6738/KWh). Since the remaining amount (R66,845) is less than the full cost of Block 3 (R2,6738/KWh × 250 KWh = R668,45), only a portion of Block 3 was used. Step 3: Calculate the KWh used in the final block. KWh used in Block 3 = Remaining amountTariff for Block 3 KWh used in Block 3 = R66,845R2,6738/KWh KWh used in Block 3 = 25 KWh Step 4: Sum the KWh from all blocks to find the total KWh used. Total KWh used = KWh from Block 1 + KWh from Block 2 + KWh from Block 3 Total KWh used = 100 KWh + 300 KWh + 25 KWh Total KWh used = 425 KWh The number of KWh they used for that period is 425 KWh. That's 2 down. 3 left today — send the next one.