Answer:
Step-by-step explanation:
The LCM of 14, 21 and 6 is 42
We require to change the fractions to fractions with a denominator of 42
+
+
= +
+
← add the numerators, leaving the denominator
=
= ← divide both values by 2
= ← in simplest form
Answer
Given
Sean's house is currently worth $188,900.
According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.
To prove
Formula
Where r is the rate in the decimal form.
As given
= 0.048
Put in the formula
Now also calculated monthly.
Formula
As given
= 0.048
Put in the formula
As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .
Thus Option (A) is correct.
i.e
The expression reveals the approximate quarterly growth rate of the value of Sean's house.
The trick is to exploit the difference of squares formula,
Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:
Whatever you do to the denominator, you have to do to the numerator too. So
Expand the numerator:
So we have
But √12 = √(3•4) = 2√3, so