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TEA [102]
3 years ago
5

If you go out to eat with friends and your meal was $ 72.50 , there is 6.75 % sales tax and you should tip the waiter 15 % . How

much should each person pay ?
Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

divide this amount ($88.26875) by the number of people

Step-by-step explanation:

6.75% of $72.50 is 4.89375

15% of $72.50 is 10.875

72.50 + 4.89375 + 10.875 = 88.26875

divide this amount (88.26875) by the number of people

You might be interested in
2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.
likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4  + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

y = ^+_- \sqrt{-x^2+4x+4} -5

Thus

f(x) = \sqrt{-x^2+4x+4} - 5

g(x) = -\sqrt{-x^2+4x+4} - 5

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0

The quadratic has roots

\frac{52 ^+_-\sqrt{1664}}{26}

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0
3 years ago
Solve: -1/4 (2x + 8) = -6​
vredina [299]

Answer:

x = 8

Step-by-step explanation:

-1/4 (2x + 8) = -6​

Multiply both sides by -4.

2x + 8 = 24

Subtract 8 from both sides.

2x = 16

Divide both sides by 2.

x = 8

3 0
3 years ago
HELLPPPPP! PLEASEEEE
Sindrei [870]
It is the second answer
4 0
3 years ago
Read 2 more answers
Can anyone help me please
Eddi Din [679]

Answer:

this pattern is ver simple very easy

4 0
2 years ago
Help me!!! Please and thank you!!!
Novay_Z [31]

Answer:

Third option is correct: 1 / (t+4)^2

Step-by-step explanation:

This equation can be written as the following:

(t+3)/(t+4)*(1/t^2+7t+12)

We know this because of the division of fractions. For example:

(1/y)/(1/x) = (1/y)*(x/1)

Now that we know this, we can advance.

Now we have to try to factor (t^2+7t+12)

We can make this into (t+3)(t+4)

Ah! Perfect! There is a t+3 in the denominator of the first fraction!

We can now cancel these out.

Now our equation looks like this:

(1 / t+4) * (1 / t+4)

This can also be written as 1^2 / (t+4)^2 = 1 / (t+4) ^2

So the correct option is the third one.

6 0
3 years ago
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