paigelynnplum6921 paigelynnplum6921
  • 04-06-2020
  • Mathematics
contestada

Dash puts $4125 into an account using compounded continuously. If he keeps the

money in the account for 5 years and now has a total of $4193.89. What is the

interest rate?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 06-06-2020

Answer:

  0.33%

Step-by-step explanation:

The account value when principal P is compounded continuously at annual rate r for t years is given by ...

  A = Pe^(rt)

For the given values, we can solve for r:

  4193.89 = 4125e^(r·5)

We can divide by 4125, take the natural log, then divide by the coefficient of r to find the value of r:

  ln(4193.89/4125)/5 = r ≈ 0.33%

The interest rate is about 0.33%.

Answer Link

Otras preguntas

why was Richard Arkwright important in the industrial revolution?
A wave with a large amplitude has a lot of             a.vibration  b.speed   c.energy
Two long tubes of muscle that lead from the stomach and help absorb food are the _____ and the_________ .
If the edges of a cube add up to 4 feet in length, what is the volume of the cube?
Substitution method 1) 3x + y = 7 4x + 2y = 16 2) 2x + 2y = 4 X - 2y = 0
The mean distance from Saturn to the sun is 9 times greater than the mean distance from Earth to the sun. How long is a Saturn year?
Substitution method 1) 3x + y = 7 4x + 2y = 16 2) 2x + 2y = 4 X - 2y = 0
A wave with a large amplitude has a lot of             a.vibration  b.speed   c.energy
What is 3 square root of 24- 4 square root of 54
How did the people of the French Revolution overthrow the government?