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il63 [147K]
3 years ago
12

Mark works at a shoe store for 30 hours a week and earns $8.75. During one week Mark sold $480 in shoes. If he receives a 5% com

mission on his sales of the shoes, what is his total salary for the week?
Mathematics
1 answer:
polet [3.4K]3 years ago
5 0
I'm assuming you mean he earns $8.75 an hour.

So first we have to find out how much money Mark gets without any commission. We do this by multiplying 30 and 8.75 and getting $262.50 .

Then, we have to find the commission. 5% as a decimal is .05, and in order to get 5% of a number, we multiply the 5% and the number together. In other words, we now have to multiply .05 and 480 together, which results in 24.

In conclusion, as a total salary, Mark earns $262.50 + $24, or $286.50
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Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.
xenn [34]

Answer:

<h2>h(x) = 14</h2>

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

===========================================

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

3 0
3 years ago
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aev [14]

Answer:

=5x^2y+15

Step-by-step explanation:

16x^0+5x^2*y-1=

16x0+5x2y−1

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7 0
3 years ago
A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 h
attashe74 [19]

From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

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P2 = Poe^rt

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1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

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8 0
2 years ago
What is the GCF of 18 and 39
makkiz [27]
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6 0
3 years ago
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Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9
Veronika [31]

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

7 0
3 years ago
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