Answer:
7.5
Step-by-step explanation:
Given;
- Bert earns $35,000 gross annual salary
- Any amounts earned up to $20,000 are taxed at x%
- Any amounts earned beyond $20,000 are taxed at 20%
- Bert pays $4,500 per annum in income tax
To find x
Amount earned beyond $20,000
= $35,000 - $20,000
= $15,000
That is the amount to be taxed at 20%
Therefore,
x% × 20000 + 20% × 15000 = 4500
200x + 3000 = 4500
200x = 4500 - 3000
200x = 1500
x = 1500/200
x = 7.5
The volume of rectangular prism = length x height x width
so sub in the above equation we get
840 = length x 6 x 10
length = 840 /(60 x 10)
length = 14 inches
Answer:
Please see the attached picture for the full solution.
*From the 4th line of the 1st image, you could also expand it using
(a +b)²= a² +2ab +b² and
(a -b)²= a² -2ab +b².
When squaring a fraction, square both the denominator and numerator.
➣(a/b)²= a²/b²
Answer:
Factored form of the expression is ( x+ 8)(x + 6).
Step-by-step explanation:
The given expression is x² + 14x + 48.
We have to convert the expression in factored form
x² + 14x + 48 = x² + 8x +6x + 48
= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)
Therefore the factored form of the expression is (x + 8)(x + 6).
Find the ticket unit cost: divide the total paid, $324, by the number of tickets, x. Then the form of the unit cost is
$324
--------- .
x
This question is highly unusual in that you write "x" as the number of tickets sold, instead of a specific number of tickets. Supposing that you'd sold 100 tickets for $324, then the unit cost would be, much more typically, a numeric ratio:
$324
----------------- = $3.24/ticket
100 tickets
