Nicole deposited $4400 in a savings account earning 6% compounded monthly. If she makes no other deposits or withdrawals, how much will she have in her account in two years? Group of answer choices $4959.50 $4928.00 $9342.76 $9328.00

Respuesta :

Answer: $4959.50

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 4400

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 2 years

Therefore,.

A = 4400(1+0.06/12)^2 × 12

A = 4400(1+0.005)^24

A = 4400(1.005)^24

A = $4959.5

Nicole have in her account in two years is $4959.5

We have given that,

P = 4400

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 2 years

What is the formula for compound interest?

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

Where,A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

Therefore by using formula

[tex]A = 4400(1+0.06/12)^{2 ( 12)}\\\\A = 4400(1+0.005)^{24}\\\\A = 4400(1.005)^{24}[/tex]

A = $4959.5

she have in her account in two years is  $4959.5

To learn more about the compound interest visit:

https://brainly.com/question/24924853