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Heather is selling her house. She initially bought it for $575000$575000. The real estate agent estimates her house value has gone up 15%15% since she bought it. An offer is made on the house for 10%10% less than the real estate agent's estimate.  Determine the price of the offer. Remember to include the $ sign in your answer.

Question

Heather is selling her house. She initially bought it for 575000575000575000. The real estate agent estimates her house value has gone up 15%15% since she bought it. An offer is made on the house for 10%10% less than the real estate agent's estimate.  Determine the price of the offer. Remember to include the $ sign in your answer.

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Solution

Step 1: Calculate the increase in the house value.

The real estate agent estimates that the house value has increased by 15%. To find out how much this is, we multiply the original price of the house by 15/100:

575,00015/100=575,000 * 15/100 = 86,250

Step 2: Add the increase to the original price.

Now we add this increase to the original price of the house to get the estimated value:

575,000+575,000 + 86,250 = $661,250

Step 3: Calculate the offer.

The offer made on the house is 10% less than the real estate agent's estimate. To find out how much this is, we multiply the estimated value by 10/100:

661,25010/100=661,250 * 10/100 = 66,125

Step 4: Subtract the offer from the estimated value.

Finally, we subtract this from the estimated value to get the price of the offer:

661,250661,250 - 66,125 = $595,125

So, the price of the offer is $595,125.

This problem has been solved

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