Notice: This page requires JavaScript to function properly.
Please enable JavaScript in your browser settings or update your browser.
Lernen Challenge: Predicting Savings Growth | Sets and Series
Mathematics for Data Science

bookChallenge: Predicting Savings Growth

Aufgabe

Swipe to start coding

A financial advisor helps his clients predict their future savings based on monthly deposits and interest rates. You are given the savings growth function, modeled as a geometric series:

A=P(1+rn)ntA = P \left( 1 + \frac{r}{n} \right)^{nt}

Where:

  • AA - total amount after interest;
  • PP - principle (Initial deposit);
  • rr - annual interest rate;
  • nn - number of times interest compounds annually;
  • tt - time in years.

  1. Calculate the total savings after 20 years, given the following:
    • Initial deposit P=10000P = 10000;
    • Interest rate r=8%r = 8 \% (0.08 as decimal);
    • Compounded monthly n=12n = 12;
    • Time 20 years t=20t = 20.
  2. Determine how much interest contributes to the total savings.

Lösung

War alles klar?

Wie können wir es verbessern?

Danke für Ihr Feedback!

Abschnitt 2. Kapitel 6
single

single

Fragen Sie AI

expand

Fragen Sie AI

ChatGPT

Fragen Sie alles oder probieren Sie eine der vorgeschlagenen Fragen, um unser Gespräch zu beginnen

close

Awesome!

Completion rate improved to 1.89

bookChallenge: Predicting Savings Growth

Swipe um das Menü anzuzeigen

Aufgabe

Swipe to start coding

A financial advisor helps his clients predict their future savings based on monthly deposits and interest rates. You are given the savings growth function, modeled as a geometric series:

A=P(1+rn)ntA = P \left( 1 + \frac{r}{n} \right)^{nt}

Where:

  • AA - total amount after interest;
  • PP - principle (Initial deposit);
  • rr - annual interest rate;
  • nn - number of times interest compounds annually;
  • tt - time in years.

  1. Calculate the total savings after 20 years, given the following:
    • Initial deposit P=10000P = 10000;
    • Interest rate r=8%r = 8 \% (0.08 as decimal);
    • Compounded monthly n=12n = 12;
    • Time 20 years t=20t = 20.
  2. Determine how much interest contributes to the total savings.

Lösung

Switch to desktopWechseln Sie zum Desktop, um in der realen Welt zu übenFahren Sie dort fort, wo Sie sind, indem Sie eine der folgenden Optionen verwenden
War alles klar?

Wie können wir es verbessern?

Danke für Ihr Feedback!

close

Awesome!

Completion rate improved to 1.89
Abschnitt 2. Kapitel 6
single

single

some-alt