Answer:
$2774.47
Explanation:
To find how much Antuan's ending balance will be, we can use the formula for compound interest.
![A=P(1+(r)/(n))^(nt)](https://img.qammunity.org/2020/formulas/mathematics/college/odwy9yjoq1ml90yo07co4wn8vb02eutnfg.png)
The values that we currently have are:
P = 2590
t = 3
n = 4 quarterly
r = 2.3% or 0.023
Now we can plug these values into our formula.
![A=P(1+(r)/(n))^(nt)](https://img.qammunity.org/2020/formulas/mathematics/college/odwy9yjoq1ml90yo07co4wn8vb02eutnfg.png)
![A=2590(1+(0.023)/(4))^(4(3))](https://img.qammunity.org/2020/formulas/mathematics/college/wieg22cf2nbusrmzdxxfggdwaclrxxfpv3.png)
![A=2590(1+0.00575)^(12)](https://img.qammunity.org/2020/formulas/mathematics/college/31pwjmy0i5b6gub9i1q75t6ojf3r1g5h6p.png)
![A=2590(1.00575)^(12)](https://img.qammunity.org/2020/formulas/mathematics/college/3afu2r9bx5r166n5w88fqgip7dzdomw8tf.png)
![A=2774.47](https://img.qammunity.org/2020/formulas/mathematics/college/6x61a4l255bzexzodg4sqlbu8nzsmlvrn1.png)
So Antuan's ending balance will be $2774.47.