Answer:
see explanation
Step-by-step explanation:
If the triangle is right then the square of the longest side (hypotenuse) will equal the sum of the squares of the other 2 sides.
longest side is x² + 1, then
(x² + 1)² = + 2x² + 1
The sum of the square of the other 2 sides
(x² - 1)² + (2x)²
= - 2x² + 1 + 4x² =
+ 2x² + 1
Hence triangle is right
Answer:
The amount invested at 4% per year was $3,000
The amount invested at 4.5% per year was $6,000
The amount invested at 2.5% per year was $1,000
Step-by-step explanation:
Let
x -----> the amount invested at 4% per year
2x ----> the amount invested at 4.5% per year
10,000-3x -----> the amount invested at 2.5% per year
we know that
The interest earned by the amount invested at 4% per year plus the interest earned by the amount invested at 4.5% per year plus the interest earned by the amount invested at 2.5% per year must be equal to $415
so
Solve for x
therefore
The amount invested at 4% per year was $3,000
The amount invested at 4.5% per year was $6,000
The amount invested at 2.5% per year was $1,000