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2 years ago

13

You and your friend go out to dinner The cost of your meal is 12.75, your friend's meal is 13.95. You tell your friend that you

will pay for the meal and the tip the waiter gave excellent service so you want to leave 20% tip. How much will you leave for a tip ?

1 answer:

gavmur [86]2 years ago

6 0

answer: 5.34

Step by step explanation 12.75 + 13.95=26.7

20% of 26.7 is 5.34

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$f(t)=\begin{cases}0&\text{for }t$

Recall that

$u(t)=\begin{cases}0&\text{for }t$

Take it one piece at a time. For $t\ge0$ , we can scale $u(t)$ by -5:

$-5u(t)=\begin{cases}0&\text{for }t$

If we shift the argument by 1 and scale by -5, we have

$-5u(t-1)=\begin{cases}0&\text{for }t$

so if we subtract this from $-5u(t)$ , we'll end up with

$-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t$

For the next piece, we can add another scaled and shifted step like

$-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

so that

$-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

For the last piece, we add one more term:

$6u(t-7)=\begin{cases}0&\text{for }t$

and so putting everything together, we get $f(t)$ :

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x=2

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