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hoa [83]
3 years ago
10

At a restaurant, servers keep 75% of the tips from each table, and support staff keeps 25%. A $20 tip is left at a table. How mu

ch of the tip does the server keep?
Mathematics
2 answers:
EleoNora [17]3 years ago
7 0
The server keeps $15


75% of 20 =

.75 x 20 = 15
vfiekz [6]3 years ago
7 0

Answer:

15

Step-by-step explanation:

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What is the arc length when Θ = 4 pi over 7 and the radius is 5 cm?
xxTIMURxx [149]
\bf \textit{arc's length}\\\\
s=r\theta \qquad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=5\\
\theta =\frac{4\pi }{7}
\end{cases}\implies s=5\cdot \cfrac{4\pi }{7}
8 0
3 years ago
Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

4 0
2 years ago
Growth or decay: 1/2(10)^x
suter [353]

Answer:

Growth

Step-by-step explanation:

If the base (the number in the parentheses) is less then 1 then it is a decay, and if it's larger than 1 it is a growth.

4 0
3 years ago
In the equation x=y7 , what is the unit rate?
baherus [9]
The unit rate would be y
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Combine like terms. (−2n−2)+(6+8m)+(8m+4n)
katrin2010 [14]

Answer:

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Step-by-step explanation:

( −2n −2) + (6 + 8m) + (8m + 4n)

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7 0
2 years ago
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