izaiahagustinsalas izaiahagustinsalas
  • 23-01-2021
  • Mathematics
contestada

At what rate should $1,000 be invested compounded
continuously to produce a final balance of $2,000 in
5 years?
A. 0.139%
B. 0.231%
C. 13.863%
D. 23.105%

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 28-01-2021

Answer:

14.9%

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

A is the amount = $2000

P is the principal = $1000

r is the rate

T is the time = 5 years

Substitute the given values into the formula;

2000 = 1000(1+r)^5

2000/1000 = (1+r)^5

2 = (1+r)^5

[tex]\sqrt[5]{2} \\[/tex] = 1 + r

r = 1.149 - 1

r = 0.149%

Hence the required rate is  14.9%

Answer Link

Otras preguntas

2. Why do scientists often use thermoacidophile group of archaebacteria for research?
how to prepare hydrogen gas​
what was one major outcome of the Japanese military leadership's policies during the 1930s?
A scientist observes rock masses that have moved past each other in opposite horizontal directions. Which feature does the scientist observe? plateau syncline s
Please help me thank you xx
Use the formula for nCr to evaluate the given expression. 27C2 = ___ (Type an integer or a simplified fraction.)
The greatest number of Mexican immigrants came to the United States during the 1970s. 1980s. 1990s. 2000s.
BTS army follow me I will follow back I purple u​
Determine the acceleration of a pendulum bob as it passes through an angle of 15 degrees to the right of the equilibrium point.
Mention the achievements of the following Muslim leaders Abu Bakr Al Sedeek Omar Ibn Al Kathab Khalid ibn Al Walid: