3) Differentiate with respect to x: a) (x²-3x+5)(2x-7)
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The budget is $44000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be
This value of will be the 100% before the 6% commission is calculated of it.
6% of is 25500
1% of is 25500 ÷ 6 = $4250
100% of is 4250 × 100 = $425,000
So, the maximum value of the home is $425,000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be
This value of
6% of
1% of
100% of
So, the maximum value of the home is $425,000
The simplest interpretation would go a little something like this:
We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with
Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have
So, the inequality representing this situation would be
And that would probably be fine for this problem.
<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with
Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have
So, the inequality representing this situation would be
And that would probably be fine for this problem.
<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?