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1 answer:
<u>Answer </u><u>:</u>
This figure consists of two rectangles .
<u>Given </u><u>parameters</u><u> </u><u>:</u>
- Area of the entire figure is 106 cm2
- Length of rectangle 1 = 10 cm
- Breadth of rectangle 1 = 7 cm
- Breadth of rectangle 2 = 4cm
<u>To </u><u>figure </u><u>out </u><u>:</u>
- Length of rectangle 2 = x
<u>Solution</u><u> </u><u>:</u>
Area of rectangle 1 ,
- Length × Breadth
- 7 × 10
- 70 cm²
Area of rectangle 2 ,
- Length × Breadth
- x × 4
- 4x cm²
As given in the question the area of full figure is 106 cm² thus ,
- Area of rectangle 1 + Area of rectangle 2 = 106
- 70 + 4x = 106
- 4x = 106 - 70
- 4x = 36
-
- x = 9 cm
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Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
Substituting the known values gives;
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333..