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3 years ago

10

Adam celebrated his eighteenth birthday with friends at a Chinese restaurant. The bill came to $287.69 without tax. The service

was quite good, so he decided to tip the waiter 20 percent.How much is the total bill (excluding tax)?

1 answer:

VARVARA [1.3K]3 years ago

8 0

Answer:61.4

Step-by-step explanation:

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Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +

brilliants [131]

We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer: y(0.5) = 1.4593

4 0

3 years ago

Julio rented a bike from Carlos' Bikes. It

anastassius [24]

5+5=10+20=30 :) that’s your answer

4 0

3 years ago

Trevor ran 2.3 miles on Monday and then ran some more on Tuesday, he had run a total of 5.55 miles for the week. How much did he

KiRa [710]

Answer:

He ran 3.25 on Tuesday

Step-by-step explanation:

The answer is 3.25 because 5.55 minus 2.3 is 3.25.

5 0

3 years ago

Read 2 more answers

How many times dose 18 go into 170

Leokris [45]

I think it is 10 because 18×10=180 but it is close hope this helps

7 0

3 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

alexandr1967 [171]

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: $2(-4y-9)+5y=-6$

Step-by-step explanation:

We will solve the initial steps for substitution method for finding the correct answer

Given equations are:

$x+4y = -9\ \ \ \ Eqn1\\2x+5y=-6\ \ \ Eqn2$

From equation one

$x+4y = -9\\x+4y-4y = -9-4y\\x = -4y-9$

Putting x = -4y-9 in equation 2

$2(-4y-9)+5y=-6$

Hence,

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: $2(-4y-9)+5y=-6$

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago