Here are Janet's steps for solving the system below by eliminating x.
1 answer:
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The interest rate is 7.69%
Step-by-step explanation:
Given
Interest = $200
Time = t = 30 months
Time will be converted into years as the rate is applied yearly
So,
1 year = 12 months
30 months = 30/12 years = 2.5 years
Principal amount = $1040
The formula for interest is:
Putting the values
Converting into percentage:
r = 7.6923
Rounding off to nearest hundredth
r = 7.69%
Hence,
The interest rate is 7.69%
Keywords: Interest, percentage
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Answer:
Segments DE and BC have equal slopes, showing that segments DE and BC are parallel
Step-by-step explanation:
Here we have the coordinates as follows
The coordinates of A is (4, 6)
The coordinates of B is (2, -2)
The coordinates of C is (-2, -4)
Therefore, the coordinates of D the midpoint AB is ((4 + 2)/2, (6 - 2)/2) which gives;
The coordinates of D is (3, 2)
Similarly, the coordinates of E the midpoint AC is ((4 - 2)/2, (6 - 4)/2) which gives;
The coordinates of E is (1, 1)
To prove that segment DE is parallel to segment BC, e show that the slopes of the two segments are equal as follows;
Therefore, the slopes of segments DE and BC are equal, which shows that segment DE is parallel to BC.