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nadya68 [22]
2 years ago
9

You and your cousin go out to eat and you both have the same taste today and order the same item. You both order the $9 item and

both have a $2.50 side item. You receive 50% off your entire bill! You then pay 10% tax on your new discounted bill. What does the bill end up costing you without tip?
Mathematics
2 answers:
Contact [7]2 years ago
7 0

Answer:

$12.65

Step-by-step explanation:

The total of just you and your cousin's meals would be $23. Then taking 50% off would be $11.50. Lastly, with the 10% tax, that would make it $12.65. Sorry if I get it wrong.

Shalnov [3]2 years ago
4 0

The bill is $12.65 without a tip.

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I hope this helps you


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3 years ago
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7 0
3 years ago
Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
Suppose today is Tuesday. What day of the week will it be 100 days from now?
VladimirAG [237]
Sunday
Hope this helps!
7 0
3 years ago
Could someone break it down. I am not catching on.
sleet_krkn [62]
\bf -0.04y+0.11(9000-y)=0.35y
\\\\\\
-0.04y+990-0.11y=0.35y
\\\\\\
990-0.15y=0.35y\implies 990=0.35y+0.15y
\\\\\\
990=0.50y
\implies 
\cfrac{990}{0.5}=y\implies 1980=y
6 0
3 years ago
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