Translate the problem to a system of equations; then solve using the elimination method.Roberto invested some money at an APR of 8 percent, and then invested $3000 more than twice this amount at an APR of 9 percent. His total annual income from the two investments was $3650. How much was invested at 9 percent?

A. $26,000
B. $29,000
C. $9000
D. $2900


Answer: B

Mathematics

You might also like to view...

Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = x2 - 12x + 36

A. vertex: (6, 36)
axis of symmetry: x = 6
x-intercept: none; y-intercept: 72
domain: (-?, ?); range: [36, ?)

B. vertex: (-6, 0)
axis of symmetry: x = -6
x-intercept: -6; y-intercept: 36
domain: (-?, ?); range: [0, ?)
 
C. vertex: (6, 0)
axis of symmetry: x = 6
x-intercept: 6; y-intercept: 36
domain: (-?, ?); range: [0, ?)
 
D. vertex: (-6, 36)
axis of symmetry: x = -6
x-intercept: none; y-intercept: 72
domain: (-?, ?); range: [36, ?)
 

Mathematics

Convert from binary form to the indicated base.11010100100two to base eight

A. 2111eight B. 3244eight C. 16888eight D. 4222eight

Mathematics

In the following question(s), FN represents the Nth Fibonacci number.F2001/F2000 rounded to three decimal places gives

A. 1.001. B. 1.618. C. 0.618. D. 1.414. E. none of these

Mathematics

The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.2, 8, 32, 128, 512, . . .

A. Geometric, r = 4
B. Geometric, r = 
C. Arithmetic, d = 4
D. Neither

Mathematics