Answer:
A: for 500: 66; for 60: 68.9; for 100: 66
B: no
Step-by-step explanation:
We assume your average cost function is ...
A. The overline over the C indicates it is an average value.
Evaluating the cost function at the different production levels, we find the average cost per unit to be ...
<u>500 units</u>
c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66
<u>60 units</u>
c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93
<u>100 units</u>
c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66
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B. Dividing out the fraction, we find that the cost per unit is ...
0.01x +60 +500/x
As x gets large, this approaches the linear function c = 0.01x +60. This <em>increases</em> as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)
Answer:
P(select green sock) = 1/8
Step-by-step explanation:
If the probability of selecting a white sock is 1/4, then we know there are 2 white socks: 1/4 has the same value as 2 out of 8.
Similarly, we can determine the number of yellow socks: 5/8 is equivalent to 5 out of 8.
Thus, 2 socks are white; 5 are yellow; and the last (the 8th) sock is green.
P(select green sock) = 1/8
Answer:
18 seconds
Step-by-step explanation:
convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.
Hopefully this helps! Let me know if you have any questions!
First do 42$ times .30 which is 12.6 . then subtract 42-12.6 which is 29.3 . then do 29.3 * .05 which is 1.465 then add 29.3 and 1.465 which gives you 30.8 (when rounded). so he did have enough money because he has more than 30.8 dollars
As given,
Loan amount is = $45000
Rate of interest = 8.5%
So, Tony's mortgage will attract an interest of:
= $3825 (this is yearly)
And for 1st month it will be = 
= $318.75
As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.
Hence, the new principle after the 1st month is $71.85 less than $45000
= 45000-71.85 = $44928.15
Hence, the last option $44928.15 is the correct answer.
