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oee [108]
3 years ago
15

slope-intercept form for the situation . Anakin is saving for a Xbox One. He currently has $165 saved and earns $40 per week doi

ng chores around the house. If an Xbox costs $500 plus 10% sales tax, how long will it take for him to save that amount?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

10 weeks

Step-by-step explanation:

10% of 500=50

the total cost Anakin will pay is $550

165+(40*n)=550

n will equal 9.625

You can not have 5/8ths of a week when it comes to being given allowence, so you would round up

It will take Anakin 10 weeks to save up his money to buy an Xbox

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The Laplace transform of the given initial-value problem

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<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is  mathematically given as

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\begin{aligned}&\text { Let } \frac{2 s-7}{(s+5)(s-4)}=\frac{a_{0}}{s-4}+\frac{a_{1}}{s+5} \\&\Rightarrow 2 s-7=a_{0}(s+s)+a_{1}(s-4)\end{aligned}

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\begin{aligned}\text { put } s &=4 \Rightarrow a_{0}=\frac{1}{9} \\\Rightarrow \quad y(s) &=\frac{1}{9(s-4)}+\frac{17}{9(s+s)}\end{aligned}

In conclusion, Taking inverse Laplace tranoform

L^{-1}[y(s)]=\frac{1}{9} L^{-1}\left[\frac{1}{s-4}\right]+\frac{17}{9} L^{-1}\left[\frac{1}{s+5}\right]$ \\\\

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

Read more about Laplace tranoform

brainly.com/question/14487937

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