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chiquita77
22.09.2021 •
Mathematics
You have a job which pays double-time when working more than 40 hours for a week. Last week you worked 55 hours and earned $840. What is your regular pay rate?
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Ответ:
$12/hour
Step-by-step explanation:
f(x) = px for x ≤ 40 hours
f(x) = px + 2py if you do overtime work
y = the over time
p = regular pay
840 = 40p + 2(15)p
840 = 40p + 30p
840 = 70p
p = 840/70 = $ 12/hour
Ответ:
The solution is x = 1.9 to the nearest tenth
Step-by-step explanation:
* Lets revise the meaning of exponential function
- The form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,
b ≠ 1, and x is any real number
- It has a constant base b
- It has a variable exponent x
- To solve an exponential equation, take the log or ln of both sides,
and solve for the variable
* Lets solve the problem
∵ 6^2x = 800
- The base is 6 and the variable is 2x
- Insert ㏑ for both sides
∴ ln(6^2x) = ㏑(800)
- There is a rule that ⇒ ㏑(a^b) = b ㏑(a)
∴ 2x ㏑(6) = ㏑(800)
- Divide the both side by ㏑(6) to isolate the variable x
∴ 2x = ㏑(800) ÷ ㏑(6)
- Now divide both sides by 2 to find x
∴ x = [㏑(800) ÷ ㏑(6)] ÷ 2
∴ x = 1.865376 ≅ 1.9 to the nearest tenth
* The solution is x = 1.9 to the nearest tenth