bntljaquan5545 bntljaquan5545
  • 23-04-2021
  • Mathematics
contestada

Daniel deposits $8,000 into a continuously compounding interest account. After 18 years there is $13,006.40 in the account. What was the interest rate?

Respuesta :

adioabiola
adioabiola adioabiola
  • 25-04-2021

Answer:

r = 2.7%

Step-by-step explanation:

Interest rate compounded continuously

r = ln(A/P) / t

Where,

r = interest rate

A = future value

P = principal

t = time

r = ln(A/P) / t

r = ln(13,006.40/8,000) / 18

= ln(1.6258) / 18

= 0.4860000023303 / 18

= 0.0270000001294

Approximately

r = 0.027

Convert value of r to percentage

r = 0.27 × 100

r = 2.7%

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