Answer:
Step-by-step explanation:
Given that:
Tip left = $1.30
Tax = 7%
Tip = 10% of after tax cost
The tax percentage is not needed in calculating the bill after tax and tip
Hence,
Let after tax cost = x
10% of x = 1.30
0.1x = 1.30
x = $13
After tax cost = $13
Hence, the Total bill after tax = $13
Answer:
C > -35
Step-by-step explanation:
9/5C +32 > -31
9/5C > -63
C > -63(5/9)
Answer:
$20500
Step-by-step explanation:
26500-(.12*26500)=23320 For 1 year
23320-(.12*23320)=$20521.60 For 2 years
Rearrange the ODE as


Take

, so that

.
Supposing that

, we have

, from which it follows that


So we can write the ODE as

which is linear in

. Multiplying both sides by

, we have

![\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cbigg%5Be%5E%7Bx%5E2%7Du%5Cbigg%5D%3Dx%5E3e%5E%7Bx%5E2%7D)
Integrate both sides with respect to

:
![\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cbigg%5Be%5E%7Bx%5E2%7Du%5Cbigg%5D%5C%2C%5Cmathrm%20dx%3D%5Cint%20x%5E3e%5E%7Bx%5E2%7D%5C%2C%5Cmathrm%20dx)

Substitute

, so that

. Then

Integrate the right hand side by parts using



You should end up with



and provided that we restrict

, we can write
Answer:
1 35/72
Step-by-step explanation: