The annual interest rate for jacks savings account increased from 2.8% to 4.1%. describe the change as a relative change in terms of a percentage. the annual interest rate increased by?

The additional 1.3% of increase in the annual interest rate that Jack is receiving in his savings account, from 2.8% to 4.1%, represent an increase of 46.42%.

Step-by-step explanation:

Jacks's savings account annual interest rate before = 2.8%

Jacks's savings account annual interest rate after the increase = 4.1%

Difference of the two rates = 4.1% - 2.8% = 1.3%

How much percentage is that additional 1.3% from the rate before the increase?

(1.3 * 100)/ 2.8 = 130/2.8 = 46.42%

The annual interest rate increased by 46.42% from the previous annual interest rate.

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)