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A school has three workers: Aku, Brako, and Dagadu, with monthly incomes of GH¢ 5,000.00, GH¢ 6,500.00, and GH¢ 4,200.00 respectively. Calculate their yearly incomes, the difference between Aku's and
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4. (a) In a school, the monthly income of three workers Aku, Brako and Dagadu are GH¢ 5,000.00, GH¢ 6,500.00 and GH¢ 4,200.00 respectively.
- (i) Calculate the yearly income of each worker.
Calculate Aku's yearly income.
$$ \text{Aku's yearly income} = \text{GH¢ } 5,000.00 \times 12 = \text{GH¢ } 60,000.00 $$Calculate Brako's yearly income.
$$ \text{Brako's yearly income} = \text{GH¢ } 6,500.00 \times 12 = \text{GH¢ } 78,000.00 $$Calculate Dagadu's yearly income.
$$ \text{Dagadu's yearly income} = \text{GH¢ } 4,200.00 \times 12 = \text{GH¢ } 50,400.00 $$ * **Aku: $\boxed{\text{GH¢ } 60,000.00}$** * **Brako: $\boxed{\text{GH¢ } 78,000.00}$** * **Dagadu: $\boxed{\text{GH¢ } 50,400.00}$**- (ii) Find the yearly income difference between Aku and Dagadu.
Subtract Dagadu's yearly income from Aku's yearly income.
$$ \text{Difference} = \text{GH¢ } 60,000.00 - \text{GH¢ } 50,400.00 = \text{GH¢ } 9,600.00 $$ * **Difference: $\boxed{\text{GH¢ } 9,600.00}$**- (iii) Find the total yearly income of all the three workers.
Add the yearly incomes of Aku, Brako, and Dagadu.
$$ \text{Total income} = \text{GH¢ } 60,000.00 + \text{GH¢ } 78,000.00 + \text{GH¢ } 50,400.00 = \text{GH¢ } 188,400.00 $$ * **Total income: $\boxed{\text{GH¢ } 188,400.00}$**4. (b) A painter places a ladder against a building at the window. The angle the foot of the ladder makes with the horizontal ground is . If the distance from the foot of the ladder to the base of the building is 5 m.
- (i) Illustrate the information in a diagram;
Draw a right-angled triangle representing the building, the ground, and the ladder.
The building forms the vertical side, the ground forms the horizontal side, and the ladder is the hypotenuse. Let $L$ be the length of the ladder, $
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