Use the binomial theorem:

The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be

Answer:
(a). $20,000
(b). The estimate will be lower than the actual amount.
Step-by-step explanation:
We have been given that Michael saves $423 dollars a month for college.
(a). We know that 1 year equals 12 months.
4 years = 4*12 months = 48 months.

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:



Therefore, Michael will save approximately $20,000 in 4 years.
(b).
The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.
Therefore, the estimate will be lower than the actual amount.
Answer:
y = e^x
Step-by-step explanation:
That curve represents a typical function of y = e^x, and to decide if it is y = e^x or y = e^x + 1 you need to replace x = 0
y = e^(0) = 1
y = e^(0) + 1 = 2
If you see the graph when x = 0, y = 1
So it is y = e^x
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet