Respuesta :

alinakincsem

Answer:

A = $12831.8

Step-by-step explanation:

We know that the formula for compound interest is given by:

[tex]A=P(\frac{1+r}{n} )^{nt}[/tex]

where [tex]A[/tex] is unknown which is the amount of investment with interest,

[tex]P=9000[/tex] which is the initial amount,

[tex]r=12/100=0.12[/tex] is the interest rate,

[tex]n=4[/tex] which is the number of compoundings a year; and

[tex]t=3[/tex] which is the number of times that interest is compounded per unit t.

So substituting these values in the above formula to find A:

[tex]A=P(\frac{1+r}{n} )^{nt}[/tex]

[tex]A=9000(\frac{1+0.12}{4} )^{(4.3)}[/tex]

[tex]A = 9000(1 + 0.03)^{12}[/tex]

A = $12831.8

imlittlestar

Answer:

The amount after 3 years = $12381.85

Step-by-step explanation:

Points to remember

Compound interest

A = P[1 +R/n]^nt

Where A - amount

P - principle amount

R = rate of interest

t - number of times compounded yearly

n  number of years

To find the amount

Here,

P = $9000.00, n = 3 years, t = 4, n = 3 and R = 12% = 0.12

A = P[1 +R/n]^nt

 = 9000[1 + 0.12/4]^(3 * 4)

 = 9000[1 + 0.03]^12

 = 12831.85

Therefore the amount after 3 years = $12381.85

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