benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 7752 / Alex needs to borrow 10, 000 from the bank. The bank gives him two options.…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Alex needs to borrow $10,000\$10,\!000 from the bank. The bank gives him two options. 1. A ten-year loan with an annual interest rate of 10%10\% compounded quarterly, with the condition that at the end of 5 years, Alex must make a payment equal to half of what he owes. The other half continues to accrue interest, and at the end of the ten years, Alex will pay off the remaining balance. 2. A ten-year loan with a simple annual interest rate of 12%12\%, with just one lump-sum payment at the end of the ten years. Find the positive difference between the total amounts Alex has to pay back under the two schemes. Round your answer to the nearest dollar.
Plain-text mathematical notation (without MathML)
Alex needs to borrow $10, 000 from the bank. The bank gives him two options. 1. A ten-year loan with an annual interest rate of 10% compounded quarterly, with the condition that at the end of 5 years, Alex must make a payment equal to half of what he owes. The other half continues to accrue interest, and at the end of the ten years, Alex will pay off the remaining balance. 2. A ten-year loan with a simple annual interest rate of 12%, with just one lump-sum payment at the end of the ten years. Find the positive difference between the total amounts Alex has to pay back under the two schemes. Round your answer to the nearest dollar.
Original LaTeX notation
Alex needs to borrow $\$10,\!000$ from the bank. The bank gives him two options. 1. A ten-year loan with an annual interest rate of $10\%$ compounded quarterly, with the condition that at the end of 5 years, Alex must make a payment equal to half of what he owes. The other half continues to accrue interest, and at the end of the ten years, Alex will pay off the remaining balance. 2. A ten-year loan with a simple annual interest rate of $12\%$, with just one lump-sum payment at the end of the ten years. Find the positive difference between the total amounts Alex has to pay back under the two schemes. Round your answer to the nearest dollar.

category

math

options

  1. 381
  2. 383
  3. 384
  4. 382
  5. 385
  6. 16398
  7. 16399
  8. 380
  9. 16400
  10. 16401

src

ori_mmlu-high_school_mathematics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
7752
task_id
45367008-cc4f-5878-b1f6-4773055d774d
task_key
default--test--7752
task_revision_id
1
config / split
default / test

Official source

initial import