Stuart wishes to have $14,000 to buy a used car three years from now. he plans to accomplish this, through an account with a nominal interest rate of 3% compounded monthly, by depositing $300 at the end of each month during the first year, and q at the end of each month during the second two years. what is the smallest q that will suffice?

The smallest Q that will suffice is 409.86

Explanation:

Since Future value of payments = 14000

300*[(1 + 3%/12)^12 - 1]/3%/12*(1 + 3%/12)^24 + Q*[(1 + 3%/12)^24 - 1]/3%/12 = 14000

Q*[(1 + 3%/12)^24 - 1]/3%/12 = 14000  - 300*[(1 + 3%/12)^12 - 1]/3%/12*(1 + 3%/12)^24

Q = 409.86

Therefore, The smallest Q that will suffice is 409.86

odd consecutive integers are odd integers that follow each other. they have a difference of 2 between every two numbers. if n is an odd integer, then n, n+2, n+4 and n+6 will be odd consecutive integers. the first number in the pattern is always the variable on its own or in this case, "n". examples.