Given:
5) The expressions are
7) The expression is
To find:
5) Whether the given expressions are equivalent.
7) simplified form of given expression.
Solution:
5)
First expression is
Second expression is
Third expression is
Therefore, the simplified forms of given expressions are respectively. It means only first and second expressions and equivalent.
7)
We have,
Therefore, the simplified form of given expression is .
Answer:
60in
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
Step-by-step explanation:
Answer is 2000 millilitres
I hope it's helpful!!