All categories

3 years ago

If the bill for dinner at a restaurant is $65.00, what is the total bill with a 15% tip?

1 answer:

4 0

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $65.00 meal cost is.This is always done by multiplying 0.15 by $65.00, or 0.15 x $65.00=$9.75.

So, the amount of tip you are going to leave is $9.75.

This makes the total cost of your meal: $65.00 + $9.75 = $74.75.

ANSWER: $74.75

You might be interested in

A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a f

djyliett [7]

The answer is C
First you subtract 44,604 from 1,715,760 to get 1,671,156 then you divide 1,671,156 by 27,396 to get 61 people

4 0

3 years ago

Find the general term of sequence defined by these conditions.

disa [49]

Answer:

$\displaystyle a_{n} = (2)^{2n -1} - (3) ^{n-1 }$

Step-by-step explanation:

we want to figure out the general term of the following recurrence relation

$\displaystyle \rm a_{n + 2} - 7a_{n + 1} + 12a_n = 0 \: \: where : \: \:a_1 = 1 \: ,a_2 = 5,$

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e

${x}^{n} = c_{1} {x}^{n - 1} + c_{2} {x}^{n - 2} + c_{3} {x}^{n -3 } { \dots} + c_{k} {x}^{n - k}$

the steps for solving a linear homogeneous recurrence relation are as follows:

Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
Solve the polynomial by factoring or the quadratic formula.
Determine the form for each solution: distinct roots, repeated roots, or complex roots.
Use initial conditions to find coefficients using systems of equations or matrices.

Step-1:Create the characteristic equation

${x}^{2} - 7x+ 12= 0$

Step-2:Solve the polynomial by factoring

factor the quadratic:

$( {x}^{} - 4)(x - 3) = 0$

solve for x:

$x = \rm 4 \:and \: 3$

Step-3:Determine the form for each solution

since we've two distinct roots,we'd utilize the following formula:

$\displaystyle a_{n} = c_{1} {x} _{1} ^{n } + c_{2} {x} _{2} ^{n }$

so substitute the roots we got:

$\displaystyle a_{n} = c_{1} (4)^{n } + c_{2} (3) ^{n }$

Step-4:Use initial conditions to find coefficients using systems of equations

create the system of equation:

$\begin{cases}\displaystyle 4c_{1} +3 c_{2} = 1 \\ 16c_{1} + 9c_{2} = 5\end{cases}$

solve the system of equation which yields:

$\displaystyle c_{1} = \frac{1}{2} \\ c_{2} = - \frac{1}{3}$

finally substitute:

$\displaystyle a_{n} = \frac{1}{2} (4)^{n } - \frac{1}{3} (3) ^{n }$

$\displaystyle \boxed{ a_{n} = (2)^{2n-1 } - (3) ^{n -1}}$

and we're done!

7 0

3 years ago

Uppose a triangle has a,b and c what must be true?

alexdok [17]

Obtuse: b^2 + c^2 > a^2

Right: b^2 + c^2 = a^2

Acute: b^2 + c^2 < a^2

A^2 + B^2 + c^2 - 2bc*cosA
As (A), is an Obtuse cos A is Negative say 2bccosA = - k then;
a^2 = b^2 + c^2 + k
a^2 > b^2 + c^2

So, your Answer would be (B)
Hope this helps!!.!

6 0

3 years ago

Read 2 more answers

Express 5/8 as a percent.<br> 1.40%<br> 2.62.5%<br> 3.58%<br> 4.62%

Drupady [299]

Answer:

the answer is #2-62.5%

Step-by-step explanation:

3 0

3 years ago

The teacher passed out math books. The length is 10 inches and the width is 8 inches. What is the perimeter of each book?

loris [4]

Books are rectangles so that means that opposite sides are equal so if one side is 10 inches then so is the opposite side. same for the 8. the perimeter is the amount around the rectangle so you must add all sides together to find it so

10in+10in+8in+8in= 36in

8 0

3 years ago