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The future value of this annuity is $38,578.
Calculation of the future value of this annuity is as follows:
The Future Value of Annuity is
= Annuity × [{(1+rate of interest)^number of years -1} ÷ rate of interest]
= $5,000 × [{(1+0.10)^6 -1} ÷ 0.10]
= $5,000 × (1.771561 -1) ÷ 0.10
= $38,578.05
Therefore we can conclude that the future value of this annuity is $38,578.
Learn more about the future value of this annuity here: brainly.com/question/13369387