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frosja888 [35]
2 years ago
11

Lois and Clark own a company that sells wagons.The amount they pay each of their sales employees (in dollars) is given by the ex

pression 12h+30w where h is the number of hours worked and w is the number of wagons sold.
What is the amount paid to an employee that works 6 hours and sells 3 wagons
Mathematics
1 answer:
Karolina [17]2 years ago
8 0
12h + 30w represents the amount paid to each employee.....where h is the number of hrs and w is the number of wagons sold.

working 6 hrs and selling 3 wagons.....so h = 6 and w = 3

12h + 30w = total pay
12(6) + 30(3) =
72 + 90 =
162 = total pay <===


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s2008m [1.1K]

Answer: 912

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

Work Shown:

The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is

an = a1+d(n-1)

an = 3+5(n-1)

an = 3+5n-5

an = 5n-2

Plug n = 19 into the formula to find the 19th term

an = 5n-2

a19 = 5*19-2

a19 = 95-2

a19 = 93

Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96

Multiply this by n/2 = 19/2 = 9.5 to get the final answer

96*9.5 = 912

I used the formula

Sn = (n/2)*(a1 + an)

where you add the first term (a1) to the nth term (an), then multiply by n/2

-----------------

As a check, here are the 19 terms listed out and added up. We get 912 like expected.

3+8+13+18   +23+28+33+38    +43+48+53+58    +63+68+73+78   +83+88+93 = 912

There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.

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3 years ago
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Step-by-step explanation:

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