Math Problem Statement

I invested 1000 dollar on crypto coin and selled all coin for 5% profit and re invested all amount in other coin and selled all for 5% profit and repeated this for 142 time how much is i get

Solution

To calculate the final amount after 142 repetitions of reinvesting with a 5% profit each time, we can use the formula for compound interest. Here's the formula:

A=P×(1+r)nA = P \times (1 + r)^n

Where:

  • AA is the final amount,
  • PP is the initial principal (1000 dollars),
  • rr is the rate of profit per transaction (5% or 0.05),
  • nn is the number of transactions (142).

Now, let me calculate the final amount for you.After 142 repetitions of reinvesting with a 5% profit each time, your final amount would be approximately 1,020,658.53 dollars.

Would you like more details or have any questions about the calculation? Here are five questions related to this topic:

  1. How does compound interest differ from simple interest in investments?
  2. What factors could affect real-world investment growth compared to theoretical models?
  3. How would a different profit percentage affect the final amount?
  4. Can the same formula be applied to investments with losses?
  5. What is the effect of increasing the frequency of reinvestments?

Tip: Understanding the power of compounding can help you make more informed investment decisions over time. Even small percentages can lead to large growth over many iterations!

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Math Problem Analysis

Mathematical Concepts

Compound Interest
Exponential Growth

Formulas

A = P × (1 + r)^n

Theorems

Compound Interest Theorem

Suitable Grade Level

Grades 9-12