benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 8095 / A young person with no initial capital invests k dollars per year at an annual…

Problem

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

question

A young person with no initial capital invests kk dollars per year at an annual rate of return rr. Assume that investments are made continuously and that the return is compounded continuously. If r=7.5%r=7.5 \%, determine kk so that $1\$ 1 million will be available for retirement in 40 years.
Plain-text mathematical notation (without MathML)
A young person with no initial capital invests k dollars per year at an annual rate of return r. Assume that investments are made continuously and that the return is compounded continuously.
If r=7.5%, determine k so that $1 million will be available for retirement in 40 years.
Original LaTeX notation
A young person with no initial capital invests $k$ dollars per year at an annual rate of return $r$. Assume that investments are made continuously and that the return is compounded continuously.
If $r=7.5 \%$, determine $k$ so that $\$ 1$ million will be available for retirement in 40 years.

category

math

options

  1. 5000 $
  2. 3500 $
  3. $3000
  4. $7000
  5. $5500
  6. $2500
  7. $7500
  8. 3930 $
  9. $6000
  10. 4500 $

src

scibench-diff

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
8095
task_id
985b4c96-77b8-5381-9eca-387dd1f01383
task_key
default--test--8095
task_revision_id
1
config / split
default / test

Official source

initial import