Answer:
see explanation
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y =
← k is the constant of proportionality
To find k use the condition that y = 7, x = 9
k = yx = 7 × 9 = 63, thus
y =
← equation of proportion
When x = 21, then
y =
= 3
Assuming that the order of selection is not important, this is a question of number of ways. In other words, the combination should be computed. That is,
Number of ways of selection 5 flowers = 12C5 = 12!/{5!*(12-5)!} = 12!/{5!*7!} = 792
Therefore, there are 792 ways in which 5 flowers can be selected from the available 12 flowers.
Five hinder and fourty six and two hundred and ten
Answer:
$13564
Step-by-step explanation:



Mary’s taxable income= $68,562
From the table, If taxable income is over $31,850 but not over $77,100
The tax = $4386.25 + 25% of the amount over 31,850
Amount over $31,850=$68,562-$31,850
=$36,712
Therefore:
Mary's tax = $4386.25 + (25% of $36,712)
=$4386.25 +9,178
=$13564.25
=$13564 (to the nearest dollar)
Answer:
attached below
Step-by-step explanation:
Applying the rule of logical equivalences
attached below is a detailed solution ( written as a numbered sequence of statements )