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

Who was the first coach to lose the Super Bowl indoors?
Which animal has tracheae but no lungs for respiration? A. cardinal B. grasshopper C. toad D. tuna
PLEASE HELP I GIVE THANKS
Which choice describes how the underlined pronoun is used in the sentence? Who tied for first place in the long jump with Charlotte? direct object subject
PLEASE HELP I GIVE THANKS
who is the person who started a newspaper called the north star
Help! Donovan runs about 2.5 miles each day. In 3 weeks, about how many miles does he run?
7 2\3+ (5 1\6-1 5\9)
Factorise this 72-6x
Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length