Noting that 13 + 23 + 33 = 36 is divisible by 9, prove by induction that the sum n) + (n + 1)3 + (n + 2) of three consecutive cubes is always divisible by 9

Noting that 13 + 23 + 33 = 36 is divisible by 9, prove by induction that the sum n) + (n + 1)3 + (n + 2) of three consecutive cubes is always divisible by 9. 3. An investor allocates $25,000 across two assets: Q has a 5% annual return, and R has a 15% annual return. (R must be riskier, but risk is not part of this problem.) If her income from the two assets after one year is $2,000, how much of the $25,000 did she allocate to Q, and how much to R? 4. Solve for x and y if: 53x = 25y+2 and x - 2y = 8.