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aksik [14]
3 years ago
5

Maradee works at Cox's Jewelers for $7.50 per hour with time-and-a-half for all hours over 40 in a week. Thus, her weekly salary

is given by
S(h) = 11.25h + 300
where h is the number of overtime hours and S(h) is her weekly salary. (See Example 5.)
(a) Find S(8.5). (Round your answer to two decimal places.)
$

(b) One week, Maradee worked 47 hours. Find her salary for that week.
$

(c) Maradee's Valentine week salary was $398.61. How many hours overtime did she work? (Round your answer to one decimal place.)
hr

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

a) 395.725

b) 378.75

c) 8.8

Step-by-step explanation:

a) S(8.5) = 11.25(8.5) + 300 = 395.625

b) if she worked 47 hrs, that means there were 7 overtime, h=7 and we have to find S(7).

S(7) = 11.25(7) + 300 = 378.75

c) her salary was 398.61, that means S(h) = 398.61 and we have to find h.

398.61 = 11.25(h) + 300

98.61 = 11.25(h)

h = 98.61 / 11.25

h= 8.8

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Anarel [89]
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;
log((x+6)*(x-6))=2
so you can simply say that;
log_{8}((x+6)( x-6))=2
and by multiplying (x+6)*(x-6)
log_{8}(x^2-36)=2
and as you know also that;
a^{b}=c is same as log _{a}c=b
so you can simply state it as;
8^2=x^2-36
64=x^2-36
64+36=x^2
x^2=100
x=10
And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
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3 years ago
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maxonik [38]
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timama [110]

Answer:

ANSWER IS C,,, 0

Step-by-step explanation:

the J+8 is basically going along with that the answer J+8 could be LESS than or equal to 8 if we pick any other number its going to be GREATER than 8 an we want LESS than 8,,,hope this helps.

8 0
2 years ago
Kia wants to order a large pizza from Frank's Pizza. Each large cheese pizza costs  $8.75 and each additional topping costs $0.5
Afina-wow [57]
<h2>Hello!</h2>

The answer is: A. 8.75 + 0.50 x ≤ 15.00

<h2>Why?</h2>

By isolating the variable (x), we have:

8.75 + 0.50x \leq15.00 \\0.50x\leq 15-8.75\\0.50x\leq 6.25\\x\leq \frac{6.25}{0.50}\\x\leq 12.5

So, with the result of x ≤ 12.5 , we can know that the most amount of additional toppings Kia got, is 12 toppings.

The inequality is telling us that Kia will spend 15$ or less if she orders 12 toppings or less.

Have a nice day!

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3 years ago
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