'roblem 1. A company predicts a yearly profit of Php 120300 in the year 2018 . It predicts that the early profit will rise each year by 59 . Find the total predicted profit for the year 2018 to 2025 iclusive. Round off answer to the nearest whole number.

To find the total predicted profit for the years 2018 to 2025 inclusive, we can use the formula for the sum of an arithmetic series. Given: - The first term (a) = Php 120300 - The common difference (d) = Php 59 - The number of terms (n) = 2025 - 2018 + 1 = 8 The formula for the sum of an arithmetic series is: \[ S_n = \frac{n}{2} \times (2a + (n-1)d) \] Substitute the values into the formula: \[ S_8 = \frac{8}{2} \times (2 \times 120300 + (8-1) \times 59) \] Now, we can calculate the total predicted profit for the years 2018 to 2025 inclusive. Calculate the value by following steps: - step0: Calculate: \(\frac{8}{2}\left(2\times 120300+\left(8-1\right)\times 59\right)\) - step1: Subtract the numbers: \(\frac{8}{2}\left(2\times 120300+7\times 59\right)\) - step2: Multiply the numbers: \(\frac{8}{2}\left(240600+7\times 59\right)\) - step3: Multiply the numbers: \(\frac{8}{2}\left(240600+413\right)\) - step4: Add the numbers: \(\frac{8}{2}\times 241013\) - step5: Divide the terms: \(4\times 241013\) - step6: Multiply the numbers: \(964052\) The total predicted profit for the years 2018 to 2025 inclusive is Php 964052. Rounding off to the nearest whole number, the total predicted profit is Php 964052.