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Suppose $$17,000$ is invested in an account that earns $4.1%$ interest. (a) Write an equation for a function $V$ that gives the value of the account after $t$ years if interest is compounded monthly. $V(t)=$ (b) Compute $V_{′}(2.5)$. (Round your answer to two decimal places.) $$$ per year Interpret your answer. After 2.5 years, the value of the account is increasing at a rate of $$$ per year.

Given,

and

a) We have to write out the equation for a function for compounded monthly