Alright, let's solve this step-by-step to determine how many points come from the length of credit history and new credit and inquiries, given a borrower's credit score of 675.
### Step 1: Identify Percentages
From the table, we note the following percentages:
- Length of Credit History: [tex]\(15\%\)[/tex]
- New Credit and Inquiries: [tex]\(10\%\)[/tex]
### Step 2: Convert Percentages to Decimal Form
To use these percentages in our calculations, convert them to decimal form:
- Length of Credit History: [tex]\(15\% = 0.15\)[/tex]
- New Credit and Inquiries: [tex]\(10\% = 0.10\)[/tex]
### Step 3: Calculate Points from Length of Credit History
To find the points contributed by the length of credit history, multiply the borrower's credit score by the decimal form of the percentage:
[tex]\[ \text{Length of Credit History Points} = 675 \times 0.15 \][/tex]
### Step 4: Calculate Points from New Credit and Inquiries
Similarly, to find the points contributed by new credit and inquiries, multiply the borrower's credit score by the decimal form of the percentage:
[tex]\[ \text{New Credit and Inquiries Points} = 675 \times 0.10 \][/tex]
### Step 5: Provide Final Calculations
Without performing the multiplications here explicitly, the final results are:
- Length of Credit History Points: [tex]\(101.25\)[/tex]
- New Credit and Inquiries Points: [tex]\(67.5\)[/tex]
### Conclusion
The total points coming from the length of credit history and new credit and inquiries are [tex]\(101.25\)[/tex] and [tex]\(67.5\)[/tex] respectively. Therefore, the answer to the question "How many points come from length of credit history and new credit and inquiries?" is:
[tex]\[ \boxed{168.75} \][/tex]
