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Sergio [31]
3 years ago
14

You are at a restaurant and the check comes to a total of $63. If you want to leave an 18% tip, how much total money should you

pay, to the nearest cent?
Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

$74.3 <em>is the total amount.</em>

<em> </em>

Step-by-step explanation:

The first step in this problem is to figure out how much of a tip was left. To find that out, you need to multiply the percentage by the total of the meal.

63 * .18 = 11.34

We know that 11.34 was how much of a tip that was left,

To figure out the total amount that was spent, you would add the total amount and the tip.

63 + 11.34 = 74.34

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The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
on another training ride jana bikes 15 miles in 50 minutes explain how you could find the number of miles she bikes in 1 hour ex
Oksi-84 [34.3K]
So she is going 15 miles every 50 minutes...
5 0
3 years ago
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A building casts a shadow of 30ft.
alexandr402 [8]

Answer:

45

Step-by-step explanation:

3 0
3 years ago
NEED HELP!!!!!<br> Heres the question
Semenov [28]

Answer:

A. 5(-20)

Step-by-step explanation:

Since she repeatedly withdrawals money, the answer would be negative, so you can say that the other answers are definitely wrong.

Hope this helps :)

3 0
3 years ago
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3 years ago
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