Compound Interest and Logarithmic Functions

Compound Interest and Logarithmic Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Math Sorcerer discusses exponential and logarithmic models, focusing on a compound interest problem. It explains how to calculate the time required for an investment to double at a 4% interest rate compounded semiannually. The tutorial covers the compound interest formula, solving exponential equations using logarithms, and generalizing the formula for any principal amount. The video concludes with a real-world application of these mathematical concepts.

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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Trigonometric functions

Exponential and logarithmic models

Linear equations

Quadratic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial investment amount in the problem discussed?

$2,000

$1,500

$1,000

$500

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How often is the interest compounded in the given problem?

Monthly

Annually

Quarterly

Semiannually

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate compound interest?

A = P(1 + n/r)^(rt)

A = P(1 + r)^t

A = P(1 + r/n)^(nt)

A = P(1 + rt)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula A = P(1 + r/n)^(nt), what does 'P' represent?

Number of times interest is compounded

Interest rate

Accumulated amount

Principal amount

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'r' in the problem?

0.04

4

0.4

0.004

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'n' for semiannual compounding?

4

2

1

12

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