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nika2105 [10]
3 years ago
7

The equation to determine the weekly earnings of an employee at the hamburger shack is given by w(x), where x is the number of h

ours worked. w(x) = 10x, 0 ≤ x ≤ 40 15(x − 40) + 400, x > 40      determine the difference in salary, in dollars, for an employee who works 52 hours versus one who works 38 hours. determine the number of hours an employee must work in order to earn $445. explain how you arrived at this answer.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.

a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is $200.

b) An employee must work 43 hours to earn $445.

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How do I express 540 as a product of prime factors
aksik [14]
540=
54*10=
6*9*2*5=
2*3*3*3*2*5=
2*2*3*3*3*5 or in exponential form
(2²)(3³)(5)
6 0
3 years ago
Read 2 more answers
Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the
HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0
2 years ago
haiely created another problem involving 2 rectangles she says 2 rectangles have the same area javito says that her statement is
Verizon [17]
Her statement is possible, the first rectangle could be equal to the second  because x is unknown so if x was 5in in the first rectangle and - 1 in the second rectangle both problems would look like this 2 in & 5 in and the second one 5in & (2 in =  (-1 +3)).

8 0
3 years ago
Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.
Dmitriy789 [7]
Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}
S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}
\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}
\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}
\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)
S=\dfrac12\left(1-\dfrac1{81}\right)
S=\dfrac{40}{81}
8 0
3 years ago
9 [1+345-(6-8 +48 x 23 -77​
melisa1 [442]

Answer:

1933

Step-by-step explanation:

9 x (1 + 345) - 6 - 8 + 48 x 23 - 77

Use BODMAS method to solve these type of equation

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

_________________________________________________________

Brackets - 1 + 345 = 346

Multiplication

9 x 346 = 3114

48 x 23 =  1104

Lets rewrite the equation now

3114 - 6 + 1104 - 77

Addition

6 + 1104 = 1110

Subtraction

3114 - 1104 = 2010

2010 - 77 = 1933

Answer = 1933

__________________________________________________________

Hope you understand

:-)

6 0
3 years ago
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