Answer:
<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>
Step-by-step explanation:
• General quadratic equation:

• sum of roots → 4 + 5 = 9
• product of roots → 4 × 5 = 20
• substitute:

Let's call a child's ticket
and an adult's ticket
. From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket
costs 17,000 and each child's ticket
costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:


Let's solve:


- Find
on its own, which will allow us to substitute it into the first equation

- Substitute in
for 

- Apply the Distributive Property


- Subtract 1972000 from both sides of the equation and multiply both sides by -1

We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
Answer:
Step-by-step explanation:
$8.75
hope it helps
Answer: C 6 units
Step-by-step explanation: Edg
Answer:
.85
Step-by-step explanation:
Compound interest formula

Melanie:

Sebastian:

4824.06-4283.21= .85