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2 years ago

Find the total cost to the nearest cent. $58 bill; 20% tip

Mathematics

2 answers:

harkovskaia [24]2 years ago

8 0

Answer:

$69.60

Step-by-step explanation:

20% of $58 is $11.60. So you add $11.60 + 58 which equals $69.60, so that is the total cost.

Andreas93 [3]2 years ago

7 0

Answer:

$69.60

Step-by-step explanation:

The desired amount (total cost) is equivalent to the sum of the bill and 20% of the bill, or, equivalently, 120% of the bill.

1.20($58) = $69.60

The total cost is $69.60, including a 20% tip.

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

2 years ago

Each week Jessica earns $12 doing yard work. She saves 40% of the money she makes. A. How much does she save each week? B. How m

Oliga [24]

She saves 4.8$ and she spends 7.20$ each week

7 0

2 years ago

In your computation, approximate its value as 3.14.

andrey2020 [161]

Answer: d

Step-by-step explanation:

Find the area of the rectangle.

$A=l*w\\A=(15in)(12in)\\A=180in^2$

Find the area of the base of the semicircle.

$A=\pi r^2$

12 in would be the diameter, divide by 2 to get the radius.

$\frac{12}{2}=6$

Plug this into the formula.

$A=(3.14)(6)^2\\A=113.04in^2$

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

$\frac{113.04}{2}=56.52in^2$

Add both areas.

180+56.52=236.52 $in^2$

7 0

2 years ago

Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.

NARA [144]

9514 1404 393

Answer:

10√5

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

m = √(20×25) = √500 = √100 × √5

m = 10√5

The geometric mean of 20 and 25 is 10√5.

6 0

2 years ago

What is the lcd of 2/3,4/5,and 7,10

sweet [91]

The answer to the question is

20/30. 24/30,. 21/30

4 0

2 years ago

Read 2 more answers