Your dinner at a restaurant vcists $13.65 after you use the coupon for 25% discount. you leave a tip for $3.00. how much was your dinner before the discount?

Sure, let me help you on this one ;)

13.65 is 75% of 18.2

Since 13.65 is 0.75 of X, let us form an equation.

0.75 * X = 13.65

Divide by 0.75 on both sides.

X = 18.2


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The answer is $20.06

Since , we can rewrite the integral as

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

Both integrals are quite immediate: you only need to use the power rule

to get

Now we only need to evaluate the antiderivatives:

So, the final answer is 15.