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vfiekz [6]
3 years ago
7

What is continuous​ compounding? how does the apy for continuous compounding compare to the apy​ for, say, daily​ compounding? e

xplain the formula for continuous compounding?
Mathematics
2 answers:
mart [117]3 years ago
7 0

Answer:

Continuous compounding is the mathematical limit that compound interest can reach.

It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A  every infinitesimally small  instant.

The limit  of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).

Say we invest  $1000  at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-

1000 ( 1 + 0.02/365)^365 = $1020.20

with continuous compounding this will be  

1000 * e^1  =  $2718.28  

Step-by-step explanation:

aliya0001 [1]3 years ago
4 0
Continuous compounding is the mathematical limit that compound interest can reach.

It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A  every infinitesimally small  instant.
The limit  of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).

Say we invest  $1000  at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-

1000 ( 1 + 0.02/365)^365 = $1020.20

with continuous compounding this will be 

1000 * e^1  =  $2718.28  
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2 years ago
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2 years ago
Help please, I need to figure this problem out
yarga [219]

Answer:

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3 years ago
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8 0
2 years ago
The table shows the relationship
Airida [17]

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0

  • Change in weight per day of hibernation = - 0.03
  • Change in weight for 115 days = - 3.45 ounces

A linear model can be created using the data in the table given using a regression calculator or excel ;

The linear model obtained in the form y = m + bx is :

  • y = - 0.03x + 0
  • y = change in weight
  • x = number of days of hibernation
  • Intercept = 0
  • Slope = -0.03

  • The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.

  • Using the regression equation, substitute, the vlaue of x = 115
  • -0.03(115) + 0 = - 3.45

Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.

Learn more :brainly.com/question/18405415

8 0
1 year ago
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