Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then

Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by

Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20
Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200
Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200
The investment will be worth $1,200 in 10 years
the answer is multiply the current term by 2 and add 1 to find the next term.
After the division, we get 8.99031476998. This rounds to <u>9</u> as a whole number, which is the answer.
When rounding to a whole number, the digits following the decimal decide what number it rounds to. If it is 0-4 it rounds to whatever the whole number currently is E.G.
8.1 would round to 8
But if its 5-9 it rounds to one above, like in our current case.
8.5 rounds to 9.
42.414 rounds to 42.
42.94149124 rounds to 43.