Answer:
Step-by-step explanation:
Let x represent the number of attendees that it will take the company to break even.
The company pays a flat fee of $98 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $16 to purchase books and supplies. This means that the total cost that the company would pay for x attendees is
16x + 98
Each attendee will pay $65 for the seminar. This means that the total revenue that the company would generate from x attendees is 65x.
At the break even point,
total cost = total revenue
Therefore,
16x + 90 = 65x
65x - 16x = 98
49x = 98
x = 98/49
x = 2
It will take 2 attendees and the total expenses and revenues is
2 × 65 = $130
Answer:
p = -6.5
Step-by-step explanation:
<u>Given:</u>
<u>Solving for p:</u>
- 18+ 2 (3p – 8) = –37
- 18 + 6p - 16 = -37
- 6p + 2 = -37
- 6p = -37 - 2
- 6p = -39
- p = -39/6
- p = -6.5
Option 2 is correct in the list
8 . You round 31.9 to 32 then divide it by 4 which gives you 8
Answer:
- $8000 at 1%
- $2000 at 10%
Step-by-step explanation:
It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.
__
<h3>setup</h3>
Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...
0.10x +0.01(10000 -x) = 280
<h3>solution</h3>
Simplifying gives ...
0.09x +100 = 280
0.09x = 180 . . . . . . . subtract 100
x = 2000 . . . . . . divide by 0.09
10000 -x = 8000 . . . . amount invested at 1%
<h3>1.</h3>
$8000 should be invested in the 1% account
<h3>2.</h3>
$2000 should be invested in the 10% account
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
