IDNLearn.com provides a platform for sharing and gaining valuable knowledge. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.
Sagot :
Absolutely! Let's tackle these two questions one at a time and break down the steps in detail.
### Question 8: Finding the cost when the house was built
We know the following:
- The cost of the house today is [tex]$333,200. - The house costs 36% more today than when it was built. We need to find out the price of the house when it was originally built. Let \( C \) be the cost of the house when it was built. The current cost of the house is then given by adding 36% of the original cost to the original cost, which can be mathematically represented as: \[ 333,200 = C + 0.36C \] Simplifying, we have: \[ 333,200 = 1.36C \] To find \( C \), we divide both sides of the equation by 1.36: \[ C = \frac{333,200}{1.36} \] Performing the division, we get: \[ C \approx 245,000 \] So, the cost of the house when it was built was approximately $[/tex]245,000.
### Question 9: Finding the original bill before a 10% deduction
We know the following:
- After a 10% deduction, [tex]$58.50 remains to be paid. We need to find out the original bill before the deduction. Let \( B \) be the original bill. A 10% deduction means that the remaining amount is 90% (or 0.90) of the original bill. This can be mathematically represented as: \[ 0.90B = 58.50 \] To find \( B \), we divide both sides of the equation by 0.90: \[ B = \frac{58.50}{0.90} \] Performing the division, we get: \[ B = 65 \] So, the original bill before the deduction was $[/tex]65.
### Summary:
1. The cost of the house when it was built was approximately [tex]$245,000. 2. The original bill before the 10% deduction was $[/tex]65.
### Question 8: Finding the cost when the house was built
We know the following:
- The cost of the house today is [tex]$333,200. - The house costs 36% more today than when it was built. We need to find out the price of the house when it was originally built. Let \( C \) be the cost of the house when it was built. The current cost of the house is then given by adding 36% of the original cost to the original cost, which can be mathematically represented as: \[ 333,200 = C + 0.36C \] Simplifying, we have: \[ 333,200 = 1.36C \] To find \( C \), we divide both sides of the equation by 1.36: \[ C = \frac{333,200}{1.36} \] Performing the division, we get: \[ C \approx 245,000 \] So, the cost of the house when it was built was approximately $[/tex]245,000.
### Question 9: Finding the original bill before a 10% deduction
We know the following:
- After a 10% deduction, [tex]$58.50 remains to be paid. We need to find out the original bill before the deduction. Let \( B \) be the original bill. A 10% deduction means that the remaining amount is 90% (or 0.90) of the original bill. This can be mathematically represented as: \[ 0.90B = 58.50 \] To find \( B \), we divide both sides of the equation by 0.90: \[ B = \frac{58.50}{0.90} \] Performing the division, we get: \[ B = 65 \] So, the original bill before the deduction was $[/tex]65.
### Summary:
1. The cost of the house when it was built was approximately [tex]$245,000. 2. The original bill before the 10% deduction was $[/tex]65.
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.