a baby was born with a weight of five pounds and then began to gain 1.25 pounds per month. write an equation for w in terms of t
1 answer:
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<h2>Answer: y = - ¹/₂ x + 5
</h2><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)
We have to calculate the EAC for both the conveyor belt system.
Solutions :
<u>Equivalent Annual Cost or (EAC) for the SYSTEM-A</u>
tax rate )
= $ 49,350
Year Annual Cost flow Present value factor Present Value of Annual
at 10% cash flow
1 -49,350 0.909091 -44,863.64
2 -49,350 0.826446 -40,785.12
3 -49,350 0.751315 -37,077.39
4 -49,350 <u> 0.683013 </u> <u>-33,706.71 </u>
Total $ 3.169865 $ -156,432.86
Therefore, Net Present value = present value of the annual cash flow - initial investment.
= 156,432.86 - 280,000
= $ 436,432.86 (negative)
Now the EAC or the Equivalent Annual Cost for System A :
dollar (negative)
tax rate)
= -$ 47,030
Year Annual Cost flow Present value factor Present Value of Annual
at 10% cash flow
1 -47,030 0.909091 -42,754.55
2 -47,030 0.826446 -38,867.77
3 -47,030 0.751315 -35,334.34
4 -47,030 0.683013 -32,122.12
5 -47,030 0.620921 -29,201.93
6 -47,030 <u> 0.564474 </u> <u> -26,547.21 </u>
Total $ 4.355261 $ -204,827.91
Net Present Value = Present Value of annual cash inflows – Initial Investment
= -$ 564,827.91 (negative)
EAC for system B:
Equivalent Annual Cost for system B
= -$129,688.66 (negative)