Answer: D) 40 square yards
Step-by-step explanation:
We know that 1 yard = 3 feet
Given that Area of Austin's office = 360 square feet
To find the area of his office in square yards, we need to divide the given area by square of 3.
We know that square of 3=
Thus, the area of his office in square yards=
Hence, the area of his office in square yards=
Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by
where n is the number of elements in the set.
Therefore, subsets of the given set =
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set =
=
= 32 - 1
= 31
Answer: 36 years
Step-by-step explanation:
Exponential equation to represent growth:-
, where A is the initial value , r is the rate of growth and t is the time period.
Given : A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500.
i.e. Put A= 500 and r= 0.052 in the above formula.
The amount after t years:
Inequality for value cross $3,000 mark:
Divide both sides by 500
Taking log on both sides , we get
Hence, it will take approx 36 years to cross the $3,000 mark.