Complete question :
Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?
Answer:
1052 ; 416.01 ; 261.61
Step-by-step explanation:
Given the price function :
P(t) = t0(0.793)^t
P(t) = 1052(0.793)^t
Price in 2005 = 1052
The average price of LCD in 2005 is t0
t - t0 = 2005 - 2005 = 0
P(0) = 1052(0.793)^0 ;
P(0) = 1052 * 1 =
Price in 2005 = 1052
Price in 2009 :
t = 2009 - 2005 = 4
P(t) = t0(0.793)^t
P(4) = 1052(0.793)^4
P(4) = 1052 * 0.39534 = 416.0145
Price of LCD in 2009 = 416.01
Price in 2011
t = 2011 - 2005 = 6
P(t) = t0(0.793)^t
P(6) = 1052(0.793)^6
P(6) = 1052 * 0.248679 = 261.6103
Price of LCD in 2009 = 261.61
Answer:
quantity a is halfed
Corrected question;
A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?
Step-by-step explanation:
Analysing the question;
A quantity a varies inversely as a quantity b,
a ∝ 1/b
a = k/b ......1
when b changes a changes in the inverse ratio;
Since the change at the same ratio but inversely, k = 1
So, equation 1 becomes;
a = 1/b
If the quantity b doubles,
ab = 1
a1b1 = a2b2
When b doubles, b2 = 2b1
a1b1 = a2(2b1)
Making a2 the subject of formula;
a2 = a1b1/(2b1)
a2 = a1/2
Therefore, when b doubles, a will be divided by 2, that means a is halfed.
Answer:
Multi facets
Step-by-step explanation:
First company surveys best customers so they are highest spending
First company standard deviation is high @ $62 so their spends are $606 a year plus or minus $180 (rounded up)
Second company has a Random sample so includes all customers
Second company has larger number of responses
Second company has a range of plus or minus $40
So you know the merchant made a 15% profit on the pen, so she bought it for a cheaper price. To find the cost of the pen before you have to take the price now, $6.90 and times it by 85%. You do 85% because you subtract the 15% she saved from 100% and you get 85%. So 6.90x.85= 5.865 which rounds to $5.87
