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If the Laffite family deposits $8500 in savings account at 6.75% interest, compounded continuously, how much will be in the account after 25 years

If the Laffite family deposits 8500 in savings account at 675 interest compounded continuously how much will be in the account after 25 years class=

Respuesta :

Answer:

Option b

Step-by-step explanation:

We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years

Then you must use the annual compound interest formula, which is represented by a growing exponential function:

[tex]y = e ^{ht}[/tex]

Where:

h is the interest rate of 0.675

y is the money in the savings account as a function of time

Then substitute the values in the formula and we have:

[tex]y = e ^{0.675(25)}[/tex]

[tex]y = 45,950.57[/tex]