To calculate the amount after 4 years with a quarterly compounded interest rate, we can use the formula for compound interest:

A = P (1 + r/n)^(nt)

where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.

Given in the problem:
P = $200
r = 5% = 0.05 (in decimal)
n = 4 (since interest is compounded quarterly)
t = 4 years

Substituting these values into the formula:

A = 200 (1 + 0.05/4)^(4*4)
A = 200 (1 + 0.0125)^(16)
A = 200 * 1.0125^16
A = 200 * 1.217248169

So, the amount after 4 years will be approximately $243.45.

Question

To calculate the amount after 4 years with a quarterly compounded interest rate, we can use the formula for compound interest:

A = P (1 + r/n)^(nt)

where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.

Given in the problem:
P = $200
r = 5% = 0.05 (in decimal)
n = 4 (since interest is compounded quarterly)
t = 4 years

Substituting these values into the formula:

A = 200 (1 + 0.05/4)^(4*4)
A = 200 (1 + 0.0125)^(16)
A = 200 * 1.0125^16
A = 200 * 1.217248169

So, the amount after 4 years will be approximately $243.45.

Knowee AI · Accepted Answer

To calculate the amount after 4 years with a quarterly compounded interest rate, we can use the formula for compound interest:

A = P (1 + r/n)^(nt)

where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.

Given in the problem:
P = $200
r = 5% = 0.05 (in decimal)
n = 4 (since interest is compounded quarterly)
t = 4 years

Substituting these values into the formula:

A = 200 (1 + 0.05/4)^(4*4)
A = 200 (1 + 0.0125)^(16)
A = 200 * 1.0125^16
A = 200 * 1.217248169

So, the amount after 4 years will be approximately $243.45.

So if $200 is invested at an interest rate of 5% compounded quarterly, then the amount after 4 years is

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