Answer: You need to purchase $280 dollars of merchandise to pay the same amount under both plans.
Step-by-step explanation:
Hi, to answer this question we have to write equations for each plan's cost.
The cost of plan a (A) is equal to the annual fee (72) plus y 75% (75/100= 0.75) of the listed price(x)
A =72 + 0.75 x
Same process for the cost of plan B (B)
B= 30+ 0.90 x
If both costs are equal
A=B
So:
72 + 0.75 x = 30+ 0.90 x
Solving for x:
72-30 = 0.9x-0.75x
42 = 0.15x
42/0.15 =x
x= $280
You need to purchase $280 dollars of merchandise to pay the same amount under both plans
![\large \mathfrak{Solution : }](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cmathfrak%7BSolution%20%3A%20%7D)
let's plug in the value of y :
Answer~
12,000
Problem~
1,000x12=12,000
The original price of concert tickets before the addition of service fee is 42.93
<h3>Percentage</h3>
- Amount spent on tickets including service fee = 45.50
- Percentage if service fee = 6%
- Original cost before service fee = x
45.50 = x + (6% of x)
45.50 = x + (0.06 × x)
45.50 = x + 0.06x
45.50 = 1.06x
x = 45.50/1.06
x = 42.9245283018867
Approximately,
x = 42.93
Learn more about percentage:
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Answer:
equilateral triangle is a triangle in which all 3 sides have the same length