MATHEMATICS HIGH SCHOOL

HELP ASAPP!!!!!!The bill at dinner was $145.67. I gave the waiter a 20% tip. How much tip did i give the Waiter?

Answers

Answer 1
Answer:

Answer:

29.134

Step-by-step explanation:

You take 20% from 145.67 and that's what you get.

Answer 2
Answer:

Answer:

you give the waiter $29.13

Step-by-step explanation:

145.67*0.2

29.134

$29.13

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Inverse laplace of [(1/s^2)-(48/s^5)]

Answers

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I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform F(s) and G(s), then \mathcal{L}^(-1)\{aF(s)+bG(s)\} = a\mathcal{L}^(-1)\{F(s)\}+b\mathcal{L}^(-1)\{G(s)\}

Given that (1)/(s^2) = (1!)/(s^2) and -(48)/(s^5) = -2\cdot(4!)/(s^5)

So you have \mathcal{L}^(-1)\left\{(1)/(s^2) - 2\cdot(4!)/(s^5)\right\} = \mathcal{L}^(-1)\left\{(1)/(s^2)\right\} - 2\mathcal{L}^(-1)\left\{(4!)/(s^5)\right\}

From Table of Laplace Transform, you have \mathcal{L}\{t^n\} = (n!)/(s^(n+1)) and hence \mathcal{L}^(-1)\left\{(n!)/(s^(n+1))\right\} = t^n

So you have \mathcal{L}^(-1)\left\{(1)/(s^2)\right\} - 2\mathcal{L}^(-1)\left\{(4!)/(s^5)\right\} = \boxed{t-2t^4}.

Hope this helps...

Final answer:

To find the inverse Laplace transform of the given expression, use partial fraction decomposition to simplify it into individual fractions and then find their inverse transforms.

Explanation:

To find the inverse Laplace transform of the given expression, we can use partial fraction decomposition. First, we factor the denominator: s2*(s3-48). The next step is to represent the expression as a sum of simpler fractions:

1/s2 - 48/s5 = A/s + B/s2 + C/(s - 2) + D/(s + 2) + E/(s + 4) + F/(s2 - 4)

Next, we solve for A, B, C, D, E, and F by performing algebraic manipulations and equating the corresponding coefficients. Finally, we can look up the inverse Laplace transform of each individual fraction term in tables or by using known formulas.

Learn more about Inverse Laplace Transform here:

brainly.com/question/31322563

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Please help need answer asp

Answers

c i hope this helped

The formula below gives D, the demand for concert tickets when the price of each ticket is P dollars. D(p)=2000-4p-p^2
What's the value if D(15)

Answers

D(15)=1715
D(15)=2000-4(15)-15^2
You do this because p=15 and you know this because 15 is inside the parentheses by d (D(p)) 

Simplify.

16.3 – (–4.2) + 15.9

Answers

The answer is 36.4.

16.3 - (-4.2) = 20.5 because a two subtraction sign will cancel out and become positive.
So 20.5 + 15.9 = 36.4

The total operating cost for the truck is $400 000 per year. The percentage breakdown of this total amount was:40%: Fixed costs (insurance, registration, wages)
30%: Fuel
20%: Finance
10%: Maintenance (service, repairs, tyres)

Suppose the fuel price increases from $1.50 to $1.60 per litre.

How much does this add to the total operating cost per year?

Answers

30% x 400,000 = 120,000
1.5 -> 1.6 = 6.6666667% increase.

120,000 x 1.06666667 = 128,000

Therefore the new operating cost is 128,000 + 280,000 or $408,000.

In a recent year One United States dollar was equal to 82 Japanese yen How many Japanese yen are equal to $100 $1,000 $10,000

Answers

$100 = 11991.55
$1000 = 119915.50
$10000 = 1199155.00
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