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Continuous Compounding and the Number e

Continuous Compounding and the Number e

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of the number e?

3.14

1.414

2.718

1.618

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula A = P * e^(RT), what does the variable P represent?

The initial deposit

The accumulated amount

The time period

The interest rate

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable R represent in the continuous compounding formula?

The accumulated amount

The initial deposit

The interest rate

The time period

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of continuous compounding, what does the expression e^(RT) represent?

The time period

The interest rate

The growth factor

The initial deposit

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used for continuous compounding?

A = P * (1 + R)^T

A = P * e^(RT)

A = P * (1 + RT)

A = P * e^(R/T)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a $7,400 deposit is compounded continuously at 5% for 6 years, what is the ending balance?

$10,000.00

$8,500.00

$9,000.00

$9,988.96

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should 30 months be converted into years for the continuous compounding formula?

2 years

3 years

2.5 years

1.5 years

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