Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Let's go through each part of the question step-by-step and find the required solutions.
1. Cost of a 7-pound package:
[tex]\[ c = 229 \cdot 7 + 14.33 = 1603 + 14.33 = 1617.33 \][/tex]
So, the cost of a 7-pound package is [tex]$1617.33. 2. Cost of a 13-pound package: \[ c = 229 \cdot 13 + 14.33 = 2977 + 14.33 = 2991.33 \] So, the cost of a 13-pound package is $[/tex]2991.33.
3. Cost of a 14-pound package:
[tex]\[ c = 229 \cdot 14 + 14.33 = 3206 + 14.33 = 3220.33 \][/tex]
So, the cost of a 14-pound package is [tex]$3220.33. 4. Cost of a 15.5-pound package: \[ c = 229 \cdot 15.5 + 14.33 = 3559.5 + 14.33 = 3573.83 \] So, the cost of a 15.5-pound package is $[/tex]3563.83. Given the cost options, we need to choose the approximate cost:
- Option A: [tex]$36 is much lower than $[/tex]3573.83.
- Option B: [tex]$67 is still significantly lower than $[/tex]3573.83.
- Option C: [tex]$50 is in the vicinity of $[/tex]3573.83.
However, since the provided result is not close to any of these options, we identify the closest provided option as [tex]$36. Therefore, the approximate cost of sending a $[/tex]15 \frac{1}{2}[tex]$-pound package is $[/tex]36 (from the given choices).
5. Weight for a given cost of [tex]$17119: We rearrange the formula \( c = 229w + 14.33 \) to solve for \( w \): \[ w = \frac{c - 14.33}{229} \] Substituting \( c = 17119 \): \[ w = \frac{17119 - 14.33}{229} = \frac{17104.67}{229} \approx 74.7 \] When rounded to the nearest pound, the weight is approximately 75 pounds. So, the detailed solutions to the given questions are: 1. A 7-pound package costs $[/tex]1617.33.
2. A 13-pound package costs [tex]$2991.33. 3. A 14-pound package costs $[/tex]3220.33.
4. The approximate cost of sending a [tex]$15 \frac{1}{2}$[/tex]-pound package is [tex]$36. 5. A package that costs $[/tex]17119 to mail weighs about 75 pounds.
1. Cost of a 7-pound package:
[tex]\[ c = 229 \cdot 7 + 14.33 = 1603 + 14.33 = 1617.33 \][/tex]
So, the cost of a 7-pound package is [tex]$1617.33. 2. Cost of a 13-pound package: \[ c = 229 \cdot 13 + 14.33 = 2977 + 14.33 = 2991.33 \] So, the cost of a 13-pound package is $[/tex]2991.33.
3. Cost of a 14-pound package:
[tex]\[ c = 229 \cdot 14 + 14.33 = 3206 + 14.33 = 3220.33 \][/tex]
So, the cost of a 14-pound package is [tex]$3220.33. 4. Cost of a 15.5-pound package: \[ c = 229 \cdot 15.5 + 14.33 = 3559.5 + 14.33 = 3573.83 \] So, the cost of a 15.5-pound package is $[/tex]3563.83. Given the cost options, we need to choose the approximate cost:
- Option A: [tex]$36 is much lower than $[/tex]3573.83.
- Option B: [tex]$67 is still significantly lower than $[/tex]3573.83.
- Option C: [tex]$50 is in the vicinity of $[/tex]3573.83.
However, since the provided result is not close to any of these options, we identify the closest provided option as [tex]$36. Therefore, the approximate cost of sending a $[/tex]15 \frac{1}{2}[tex]$-pound package is $[/tex]36 (from the given choices).
5. Weight for a given cost of [tex]$17119: We rearrange the formula \( c = 229w + 14.33 \) to solve for \( w \): \[ w = \frac{c - 14.33}{229} \] Substituting \( c = 17119 \): \[ w = \frac{17119 - 14.33}{229} = \frac{17104.67}{229} \approx 74.7 \] When rounded to the nearest pound, the weight is approximately 75 pounds. So, the detailed solutions to the given questions are: 1. A 7-pound package costs $[/tex]1617.33.
2. A 13-pound package costs [tex]$2991.33. 3. A 14-pound package costs $[/tex]3220.33.
4. The approximate cost of sending a [tex]$15 \frac{1}{2}$[/tex]-pound package is [tex]$36. 5. A package that costs $[/tex]17119 to mail weighs about 75 pounds.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.