At the beginning of the week the balance in your bank account was $298.72. during the week you made a deposit of $425.69. you also made purchases of $29.72, $135.47, and $208.28. when you checked your balance, you saw that the bank deducted a $5.00 service charge from your account. how much is left in your account at the end of the week? a. $47.22 b. $52.22 c. $345.94 d. $350.94

Option C. $345.94

Step-by-step explanation:

The balance of your bank account at the beginning of the week = $298.72

You made a deposit of $425.69, now your balance would be

= $298.72 + $425.69 = $724.41

You also made purchases of 29.72, $135.47 and 208.28

Total purchase = 29.72 + 135.47 + 208.28 = $373.47

Now your balance would be = $724.41 - $373.47 = $350.94

The bank deducted  service charge = $5.00

Now at the end of the week the balance = 350.94 - 5.00 = $345.94

Option C. $345.94 is the answer.

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)