Damarius is making some big life decisions! He decides it's time to start saving for his future and deposits $300 each month at 4.1% annual interest, compounded monthly, for 30 years. At the end of 30 years, he has an account balance of $211,966.64. How much of this did Damarius contribute and how much of this is interest?

$108,000

$103,966.64

Step-by-step explanation:

Damarius contributes $300 each month, for 30 years. Therefore, to find the amount he contributed, we multiply those pieces together (12 months in each year).

300⋅12⋅30=$108,000

Therefore, over the 30 years, Damarius contributed $108,000.

If there was $211,966.64 in his account, and he contributed $108,000, then the rest is interest.

$211,966.64−$108,000=$103,966.64

There was $103,966.64 in interest earned on Damarius' account.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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