The principal amount, $5500, earns 3.75% interest compounded continuously. a. Write the function that represents the value of the account at any time, t.

b. What will the value be after 6 years?

a)

The function that represents the value of the account at any time, t

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

substituting the values

$

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

could

step-by-step explanation:

u send me a picture of ur work

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363