In January of $2023,$ Lucy contracted a student loan of $$15,000$ to be repaid over $5$ years at a rate of $6\%,$ compounded monthly. Payments are monthly. In addition, she incurred eligible moving expenses of $$1,000,$ paid tuition of $$5,000$ and earned gross employment income of $$22,300$ in $2022.$ What are her total tax deductions? Round to the nearest dollar.

Select one:

a$.$

$$6,828$

b$.$

$$1,828$

c$.$

$$1,000$

d$.$

$$6,000$