Answer:
-2
Step-by-step explanation:
rise over run or, y2-y1/x2-x1
Answer:
Savannah collected 180 stamps and her brother collected 36 stamps
Step-by-step explanation:
Let
x = number of stamps Savannah brother collected
Savannah collected 5 times as many stamps as her brother, then
5x = number of stamps Savannah collected.
Total number of stamps = 216, then
![x+5x=216\\ \\6x=216\\ \\x=\dfrac{216}{6}\\ \\x=36\\ \\5x=5\cdot 36=180](https://tex.z-dn.net/?f=x%2B5x%3D216%5C%5C%20%5C%5C6x%3D216%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B216%7D%7B6%7D%5C%5C%20%5C%5Cx%3D36%5C%5C%20%5C%5C5x%3D5%5Ccdot%2036%3D180)
<u>Answer:</u>
The city should pay at most $16 million to the contractors as an incentive for completing the project four weeks earlier.
<u>Explanation:
</u>
Total number of saved work hours = 4 weeks * 40000 workers/week * 10 hours/worker = 1,600,000 work hours
So, Money saved = 1,600,000 work hours * $10/ work-hour
= $16 million
Therefore, the city should pay at most $16 million to the contractors as an incentive for completing the project four weeks earlier.
To determine the value of the house in x number of years, we need to derive an equation that would relate the value of the house, the rate of increase and the number of years. If we calculate manually, we would do as follows:
V(1) = 150000 + 150000(0.012)
V(2) = 150000 + (150000 + 150000(0.012))(0.012)
V(3) = .............
We need to do this up to 10 years. It would be a long and tedious process. We need to simplify the expression as follows:
We factor out the initial amount of the house and simplify further what is inside the parentheses. This would give us
V(x) = 150000 (1 + 0.012)^x
Substitute 10 to x,
V(x) = 150000 (1 + 0.012)^x10
V(10) = 169003.77