Answer: The answer is [7]
- Chilio
The amount invested in the account that earns 10% interest is $2000.
The amount invested in the account that earns 13% interest is $3000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1
0.1a + 0.13b = 590 equation 2
Where:
- a = amount invested in the account that earns 10% interest
- b = amount invested in the account that earns 13% interest
<h3>How much was invested in the account that earns 13% interest ?</h3>
Multiply equation 1 by 0.1
0.1a + 0.1b = 500 equation 3
Subtract equation 3 from equation 1
90 = 0.03b
Divide both sides by 0,03
b = $3000
<h3>How much was invested in the account that earns 10% interest ?</h3>
Subtract $3000 from $5000: 5000 - 3000 = $2000
To learn more about simultaneous equations, please check: brainly.com/question/25875552
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Answer:
the gcf is 12
Step-by-step explanation:
.............
Answer:
20 deg
Step-by-step explanation:
A 12-hour analog clock face has 12 hour markers in 360 degrees, so the angle between one hour and the the next hour is 30 deg.
At 3:00 the hour hand makes a 90 deg angle with the 12 marker.
At 4:00 the hour hand makes a 120 degree angle with the 12 marker.
At 3:20, the hour hand has gone 20/60 of the way from the 3 marker to the 4 marker, so it has gone 1/3 of the way from 90 degrees to 120 degrees with the 12 marker. 1/3 * 30 + 90 = 100 deg. The hour hand is making a 100-deg angle with the 12 marker.
At 3:20, the minutes hand is at the 4 marker, so it makes a 120-degree angle with the 12 marker.
The angle made by the hands is 120 deg = 10 deg = 20 deg.
As a mixed number would be I think 1 1/4... I think, not sure if I remember correctly.
