Given:-
To graph and explain.
So the graph of the given function is,
An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function.
Answer:
3156
Step-by-step explanation:
- <em>Used formula:</em>
- <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>
--------
- 10²+12²+14²+......+26² =
- (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
- 4*(5²+6²+7²+...+13²) =
- 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
- 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
- 4*(1/6*13*14*27- 30) =
- 4*(819 - 30) =
- 4*789 =
- 3156
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>
Answer:
c. y = x - 6
Step-by-step explanation:
This question wants you to find the equation in slope-intercept form, each is y=mx+b, where m is the slope and b is the y-intercept. The first thing to do is find the y-intercept, to do this find the value of y when x equals zero. The way to do this is to look the value of y on the y-axis. In this case, the y-intercept is -6. Then, find the slope; since you are given the graph you can count out the slope. To do this find out how much the y and x values change. On this graph, y increases 1 when x increases 1, so the slope is 1/1 or one 1. So the equation is y=1x-6, which simplifies to y=x-6.
