# A kitchen remodeling company determines that the marginal cost, in dollars per foot, of installing x feet of kitchen countertop is given by C'(x) =…

A kitchen remodeling company determines that the marginal cost, in dollars per foot, of installing x feet of kitchen countertop is given by C'(x) =…

A kitchen remodeling company determines that the marginal cost, in dollars per foot, of installing x feet of
kitchen countertop is given by
C'(x)
= 7x^-1/3
.
Find the cost of installing an extra
13 feet of countertop after 30 feet have already been ordered.
this question is using the antiderivative and i as far as solving it to 21/2x^2/3 and then putting into the formula for the problem which is
21/2(43)^2/3-21/2(30)^2/3 which is suppose to equal 27.5 but i got something else what do you think i did wrong ?
The bold is what i got.

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