Answer:
Josh is 70% of his fathers height
Step-by-step explanation:
49/70=0.70
0.70 into a percent is 70%
It would be heads 3 and 1/3 of the time and tails 6 and 2/3 coming to an outcome of 10
Step-by-step explanation:
<u>Given</u>
- f(x) = 4x³ + 3x² - 2x - 1
<u>Divide it by the following:</u>
<u>(a) 2x + 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
- 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
- (2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
<u>(b) 2x - 3</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
- (2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
<u>(c) 4x - 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
- (4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
<u>(d) x + 2</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
- (x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
Answer:
C) 5000(0.987783)^t
Step-by-step explanation:
The monthly interest rate is the APR divided by 12, so is 22%/12 ≈ 0.018333.
Each month, the previous balance (B) has interest charges added to it, so the new balance is ...
balance with interest charges = B + (22%)/12×B = 1.018333×B
The minimum payment is 3% of this amount, so the new balance for the next month is ...
balance after payment = (1.018333B)(1 - 0.03) = 0.987783B
Since the balance is multiplied by 0.987783 each month, after t payments, the balance starting with 5000 will be ...
5000×0.987783^t . . . . . . . . . matches choice C
Answer:
D
Step-by-step explanation:
The rectangle is 7 x 4 squares, but each side of the square is 2 units
