Answer:
![29x+2.50(5x)=290.5](https://tex.z-dn.net/?f=29x%2B2.50%285x%29%3D290.5)
Step-by-step explanation:
Let x be the number of working hours
She must pay the worker $29 per hour
So, Cost of labor for x hours = 29 x
The worker created an average of 5 shirts per hour
So, no. of shirts produced in x hours = 5x
Cost of 1 shirt = 2.50
Cost of 5x shirts = 2.50(5x)
Total expenses for labor and materials = ![29x+2.50(5x)](https://tex.z-dn.net/?f=29x%2B2.50%285x%29)
We are given that Nicole's total expenses for labor and materials were $290.50
So, ![29x+2.50(5x)=290.5](https://tex.z-dn.net/?f=29x%2B2.50%285x%29%3D290.5)
![29x+12.5x=290.5](https://tex.z-dn.net/?f=29x%2B12.5x%3D290.5)
![41.5x=290.5](https://tex.z-dn.net/?f=41.5x%3D290.5)
![x=7](https://tex.z-dn.net/?f=x%3D7)
Hence a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is ![29x+2.50(5x)=290.5](https://tex.z-dn.net/?f=29x%2B2.50%285x%29%3D290.5)
Answer:
8.5
Step-by-step explanation:
For continuous compounding, the account value formula is ...
A = Pe^(rt)
where P is the invested amount, r is the annual interest rate, and t is the number of years. We want to find t when ...
3550 = 2400e^(.046t)
ln(355/240) = 0.046t
t = ln(355/240)/0.046 ≈ 8.5
It will take 8.5 years for the value to reach $3550.
Slope = (2 + 1) / (5.3 - 4.5) = 3 / 0.8 = 30/8 = 15/4
answer
slope = 15/4
Answer:
the root is -2 , 0
Step-by-step explanation:
Answer:
216g
Step-by-step explanation:
6 times 6 = 36
36 times 6 = 216