THIS IS THE COMPLETE QUESTION BELOW
The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.
Answer
$168.27
Step by step Explanation
Given p=90000/400+3x
With the limits of 40 to 50
Then we need the integral in the form below to find the average price
1/(g-d)∫ⁿₐf(x)dx
Where n= 40 and a= 50, then if we substitute p and the limits then we integrate
1/(50-40)∫⁵⁰₄₀(90000/400+3x)
1/10∫⁵⁰₄₀(90000/400+3x)
If we perform some factorization we have
90000/(10)(3)∫3dx/(400+3x)
3000[ln400+3x]₄₀⁵⁰
Then let substitute the upper and lower limits we have
3000[ln400+3(50)]-ln[400+3(40]
30000[ln550-ln520]
3000[6.3099×6.254]
3000[0.056]
=168.27
the average price p on the interval 40 ≤ x ≤ 50 is
=$168.27
Answer:
Q=2
Step-by-step explanation:
hello :
the solution to the system is
{(x,y) : x-3y=4} means infinty solution
X-3y=4
....(*)
Qx-6y=8....(**)
multiply (*) by -2
-2x+6y = -8 (***)
add (*) and (***) : (Q-2)x =0
this ie true for reals x when Q=2
Answer:
<u>$86.40</u>
Step-by-step explanation:
80 × .08 = 6.40
80 + 6.40 = $86.40
The cost of the tour= £
.
The deposit is just an initial pay, which is a part payment of the total cost
If you pay a deposit of £78 out of £359, Then you need to subtract £78 from £359 to obtain,
pounds.
Therefore you need to pay £281 more.
Answer:
a2+b2=c2
Step-by-step explanation:
e.g:
a=5 b=2 c=?
52+22=c2
25+4=c2
29=c2
square root of 29= c
c=5.385164807
