What is the value of x in the equation shown below.0.25x + 7 = 4(x - 2)
2 answers:
Answer:
x=4
Step-by-step explanation:
0.25x+7=4(x−2)
Use the distributive property to multiply 4 by x−2.
0.25x+7=4x−8
Subtract 4x from both sides.
0.25x+7−4x=−8
Combine 0.25x and −4x to get −3.75x.
−3.75x+7=−8
Subtract 7 from both sides.
−3.75x=−8−7
Subtract 7 from −8 to get −15.
−3.75x=−15
Divide both sides by −3.75.
x=-15/-3.75
Expand -15/-3.75 by multiplying both numerator and the denominator by 100.
x=-1500/-375
Divide −1500 by −375 to get 4.
x=4
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Answer:
a) 0.5198 computers per household
b) 0.01153 computers
Step-by-step explanation:
Given:
number of computers in a home,
q = 0.3458 ln x - 3.045 ; 10,000 ≤ x ≤ 125,000
here x is mean household income
mean income = $30,000
increasing rate, = $1,000
Now,
a) computers per household are
since,
mean income of $30,000 lies in the range of 10,000 ≤ x ≤ 125,000
thus,
q = 0.3458 ln(30,000) - 3.045
or
q = 0.5198 computers per household
b) Rate of increase in computers i.e
=
or
on substituting the values, we get
or
= 0.01153 computers