Answer:
250 feet
Step-by-step explanation:
Vertex: (250,300)
Minimum height is 300 when the horizontal distance is 250
The set of rational numbers is the set of real numbers which can be expressed in the form a/b where a and b are integers.
Rational numbers can also be identified as terminating or recurring decimal numbers.
The <span>display weights on a digital scale that shows each weight to the nearest half pound gives a terminating decimal number.
Hence, it is best described by the set of real numbers.
</span>
Answer:
D
Step-by-step explanation:
A table of values can be generated from a quadratic function by substituting the x-values and calculating the values for f(x). When looking at a table of values for a quadratic function, the x-intercepts represent the x-values where y = 0. This corresponds to the x-values where f(x) is 0 in function notation.
Let the nomber of 2 pointers be x and that of 3 pointers be y, then
2x + 3y = 30 . . . (1)
x = y + 5 . . . (2)
Putting (2) into (1), gives 2(y + 5) + 3y = 30
2y + 10 + 3y = 30
5y = 30 - 10 = 20
y = 20/5 = 4
x = 4 + 5 = 9
We can solve
this problem by first calculating the annual net cash inflow. This can be
solved by remembering that:
Payback period
= Initial investment<span> / Annual net
cash inflow</span>
<span>
6 years = $75,000
/ Annual net
cash inflow
<span>
Therefore,
Annual net
cash inflow = $12,500
Next, we
calculate for the cost. The cost we will consider here is the depreciation
value of the machine.
Annual depreciation
= $75,000 / 15 years = $5,000
Therefore the annual net operating income is:
Annual net operating income = $12,500 - $5,000 = $7,500
Simple rate of
return is calculated by:
Simple rate of
return = Annual net operating income / Initial
investment
Simple rate of
return = $7,500 / <span>
$75,000 = 0.1 = 10%</span></span></span>