Answer:
The processing fee will cost $8.76
Step-by-step explanation:
the price after the discount:
20% = 0.2
100% = 1
1 - 0.2 = 0.8
0.8
$73 • 0.8 = $58.4
cost of processing fee:
15% = 0.15
$58.4 • 0.15 = $8.76
Question:
A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.
If there is more than one element in the set, separate them with commas.
Answer:
Step-by-step explanation:
Given
A roll of a 6 sided number cube
Solving (a): The sample space
This implies that we list out all number on the number cube.
So:
Solving (b): Outcomes greater than 2
This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.
So:
Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
-----------------------------------------------------
x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
--------------------------------------------------------
<u>-1 + 4i</u> = 4 + i
i
--------------------------------------------------------
x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
--------------------------------------------------------
(1 + i) (-3 - 4i)
= 1 - 7i
--------------------------------------------------------
6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
--------------------------------------------------------
7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
--------------------------------------------------------
8.
(7 - i) - (-5 + 6i)
= 12 - 7i
--------------------------------------------------------
9.
(4 - i) (4 + i)
= 17
--------------------------------------------------------
10.
(3 + 8i) (4 - 3i)
= 36 + 23i
9514 1404 393
Answer:
$400
Step-by-step explanation:
If the price after taking 25% off is $300, then $300 is 75% of the original price.
$300 = 0.75p
$300/0.75 = p = $400
The original price was $400.
_____
<em>Check</em>
0.25 × $400 = $100
$400 -100 = $300 . . . . the price after taking 25% off
Answer:
1.375 seconds
Step-by-step explanation:
One mile is equivalent to 5280 feet. Throwing at 30 miles an hour is 0.5 miles each minute, or one mile every 120 seconds(Unfortunately for the pitcher, I don't think the ball would make it to home plate). That means it travels 1/120 miles each second, or 44 feet(5280/120). The ball will reach home plate in 1.375 seconds(60.5/44).
