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madreJ [45]
3 years ago
15

A graphic charges a fee of 1600 to design a poster for a jazz festival the designer also receives 8% commission on sales of the

poster at the festival what is the designers total income from this work assuming that sales of the poster bring in 620 dollars during the festival
Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

The total income of designer from this work is $1649.6.

Step-by-step explanation:

The fees charged by the designer = $1600

The commission on total sales = 8%

Total sales amount in the festival =  $620

Now, 8% of $620 = \frac{8}{100}  \times 620 = 49.6

So, the commission on total sales = $49.6

Also, Total Income of the designer = Deign Fee + 8% Commission fee

= $1600 + $49.6

= $1649.6

Hence, the total income of designer from this work is $1649.6.

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nexus9112 [7]

Answer:

To fill the sandbox, she would need 15 cubic feet.

Step-by-step explanation:

To find the volume of a box, multiply all of its dimensions together.

6ft * 5ft * 1/2ft = 15ft^3

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7 0
3 years ago
Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
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k0ka [10]

Try this option:

1] P(S)=0.84;

2] P(S or C, but not both)=0.4;

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6 0
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The perimeter of the square can be represented by the expression 36x+44 robin wants to write an equivalent expression for the pe
sukhopar [10]

Answer:

4  (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is  (9 x + 11).

Step-by-step explanation:

Here, given The perimeter of the square  = (36 x+44)

Now,as we know :

PERIMETER OF SQUARE = 4 x ( SIDES)

Simplifying the perimeter expression.

Take 4 common out of the expression (36 x+44), we get:

(36 x+44) =  4 (9 x + 11)

⇒ Perimeter of the square  =  4 x  (9 x + 11)

⇒4 x ( SIDES) = 4 x (9 x + 11)

⇒ Each Side = (9 x + 11)

Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is  (9 x + 11).

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