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serg [7]
2 years ago
12

Last month Albert earned half of what Betty earned, while Betty earned $5000 more than what Calvin earned. If Donna earned twice

what Calvin earned and Albert and Betty together earned $900 more than what Calvin and Donna earned together, how much did each person earn?
Mathematics
1 answer:
irinina [24]2 years ago
5 0

Answer:

Calving earning = 4400

Betty earning = 9400

Albert earning = 4700

Donna = 8800

Step-by-step explanation:

Given that :

Calving earning = c

Betty earning = c + 5000

Albert earning = (c + 5000) /2

Donna = 2c

c + 5000 + (c + 5000) /2 = 900 + c + 2c

c + 5000 + 0.5c + 2500 = 900 + 3c

1.5c + 7500 = 900 + 3c

7500 - 900 = 3c - 1.5c

6600 = 1.5c

c = 6600 / 1.5

c = 4400

Calving earning = c = 4400

Betty earning = 4400 + 5000 = 9400

Albert earning = (4400 + 5000) /2 = 4700

Donna = 2(4400) = 8800

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The margin of error is of 0.73 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

Step-by-step explanation:

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