Rachel plans to withdraw $5,000 at the end of each year from her bank account that pays 4% interest. How many annual withdrawals can she make if her starting balance is $63,296.48?

I inferred 4% interest to be per annum.

about 19 annual withdrawals

Step-by-step explanation:

First, we note that Rachel plans to withdraw $5,000 at the end of each year from a starting balance is $63,296.48,  excluding the 4% interests, the total withdrawals possible is

$63,296.48/$5,000 = 12.65 (in years)

Including the 4% interest;

4% x $63,296.48 = $2,531.85

To find the possible withdrawals we multiply by the initial period excluding interest rates

$2531.85 * 12 = $31,901/5,000= 6.38 (in years)

Total:  6.38 + 12.65 = 19.03 (in years)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)