Answer:
Step-by-step explanation:
Let x represent the amount invested at 3%. Then the total interest earned is ...
0.03x +0.02(25000 -x) = 510
0.01x = 10 . . . . . . . . . . . . subtract 500, collect terms
x = 1000
Mitchell invested $1,000 at 3% and $24,000 at 2%.
Answer:
The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel
Step-by-step explanation:
To prove that DE is parallel to BC, we have;
The slope, m of the lines DE and BC are found from the following equation;

Where;
(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.
Multiply the number of peaches by the number of pounds and add the number of pounds and multiply 1.35 by the number of pounds that you added up