Answer:
what do we have to do
Step-by-step explanation:
Answer:
The unknown value is being subtracted from 226 is 160
Step-by-step explanation:
Long division setup showing an incomplete calculation
- 2 hundreds and 1 tens is written in the quotient
- 3200 is subtracted from 3426 to give 226
- An unknown value represented by a box is being subtracted from 226
so,
The dividend = 3426
The divisor = 16
2 hundreds means 200 and 1 tens means 10
∵ The quotient = 200 + 10 + x
∵ Dividend = divisor × quotient
∴ (16 × 200) + (16 × 10) + (16 × x) +remainder = 3426
∵ 16 × 200 = 3200
Subtract 3200 from the dividend
∴ 3426 - 3200 = 226
∵ 16 × 10 = 160
∴ 226- 160 = 66
⇒160is the unknown value
∵ 16 × x = 16x
∵ 66 - 16x = 0
∴ 66 = 16x
- Divide both sides by 16
∴ x = 4 and remainder = 2
∴ 3426 ÷ 16 = 200 + 10 + 4
∴ 3426 ÷ 16 = 214
∴ From the steps above the missing number subtracted from
226 is 160
The unknown value is being subtracted from 226 is 160
Answer:

Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have

and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
and by evaluating in the limits we have

Hope this helps
regards
The discount price would be $21.98
The final price would be $124.56
yw, mwah
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