Answer:
49π / 4
Step-by-step explanation:
πr²
pi x radius²
radius = d ÷ 2 = 3.5
49π / 4
☺️
From 4 PM to 6 PM is 2 hours, and it's 15 minutes after 6, so her dance class is 2 hours and 15 minutes long.
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
10.) The realized income each week is $79.87.
Add both payments and tips then deduct the tax deductions (multiply the rates to the gross income per week).
Gross income per week: (4.70 + 3.85) x 13hrs = 111.15
Tax deductibles: 8.50 (FICA) + 13.67 (federal tax) + 9.11 (state tax) = (31.28)
Realized income per week: 111.15 - 31.28 = 79.87
11.) The value of the stocks in its second year is $1,340.75.
Multiply the investment by the percentage increase, then add the result to the investment. You can also use this formula = investment x (1 + %)
First year: 1,050 x (1 + 0.13) = 1,186.50
Second year: 1,186.50 x (1 + 0.13) = 1,340.75
12.) a. The total value of your stocks after 2 years is $2,046. Use <em>investment x (1 - %)</em> in computing the decreases while <em>investment x (1 + %)</em> in computing the gains.
First year: 2,000 x (1 - 0.07) = 1,860
Second year: 1,860 x (1 + 0.10) = 2,046
b. The balance in your savings account after 2 years is $2,150.74. Use this formula = investment x (1 + rate)^number of years
Balance = 2,000 x (1 + 0.037)^2 = 2,150.74
13.) Your question is incomplete.
