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statuscvo [17]
2 years ago
8

The price for the items ordered for lunch was $23.45. How much would the price be after tax and tip if the tax rate is 8% and yo

u plan on giving a 20% tip of the new total
Mathematics
1 answer:
miv72 [106K]2 years ago
8 0
23.45 × .08 = 1.88
23.45 × .2 = 4.69
23.45 + 1.88 + 4.69 = 30.02
The total price would be $30.02.
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Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n > 1 by mathematical induction. (7 marks)
notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A <em>mathematical induction</em> consists in only 2 steps:  

<u>First step</u>: Show the proposition is true for the first one valid integer number.

<u>Second step</u>: Show that if any one is true then the next one is true  

Finally, if first step and second step are true, then the complete proposition is true.

So, given 2*n^3+3*n^2+n

First step: using and replacing n=2 (the first valid integer number >1)

2*(2)^3 +3*(2)^2+2=30

\frac{30}{6} =5

As the result is an integer number, so the first step is true.

Second step: using any next number, n+1, let it replace

2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)

As the First step is true, we know that

2*n^3+3*n^2+n=6*k,

So let it replace in the previous expression

6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]

Finally

\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0
2 years ago
2x + y = -8<br> 3x - 5y = -25
Margarita [4]

Answer:

x=-5, y=2. (-5, 2).

Step-by-step explanation:

2x+y=-8

3x-5y=-25

------------------

5(2x+y)=5(-8)

3x-5y=-25

-------------------

10x+5y=-40

3x-5y=-25

--------------------

13x=-65

x=-65/13

x=-5

2(-5)+y=-8

-10+y=-8

y=-8-(-10)=-8+10=2

6 0
3 years ago
What's the quadratic equation?
erma4kov [3.2K]
The standard form of the quadratic equation is ax^2 + bx + c. In vertex form, it's y = a(x – h)2 + k. 
The graph of a quadratic equation is a parabola, which looks like a u. If <em>a</em> is negative then it's an upside down u.
6 0
3 years ago
Read 2 more answers
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b
zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

8 0
1 year ago
Math!!! Need help!!!!!!!
iogann1982 [59]
Thats either 7/5 or 1 2/5 but since theres a whole number i think its 1 2/5
3 0
2 years ago
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