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
So, your answer to this problem is
x = 6.
Answer:
A translation 3 units to the right and a 90-degree clockwise rotation
Step-by-step explanation:
In this question , it is given that p represents cost of 1 container of popcorn . Therefore cost of 5 containers of popcorn = 5p and cost of 3 containers of popcorn = 3p .
And g represents cost of 1 container of granola bars. THerefore cost of 4 containers of granola bars = 4g and cost of 6 containers of granola bars = 6g .
According to the given question, the required linear equations are
5p+4g=42.50 , 3p+6g =34.50 .
And these are the the required system of linear equation .
Step-by-step explanation:
Pork sandwiches: 2 , 6 , 10 , 14
goes by 4
Chicken Sandwiches: 5 , 15 , 25 , 35
goes by 10