Answer:
$25.20
Step-by-step explanation:
First, take the 50% off the sales price:
($48)*(-0.50) = -$24.
($48 - $24) = $24 sale price.
Tax on $24 is ($24)*(0.05) = $1.20
Add the price and sales tax:
$24 + $1.20 = $25.20
Answer:
Y=4/3x-4
Step-by-step explanation:
You have it in slope intercept form =)
Answer:
-1.07+(-2.917)-4.3=-8.287
Step-by-step explanation:
Answer:
He will run 31.6 miles in two weeks.
Step-by-step explanation:
6 days a week = 2.3 miles
6 days · 2 weeks = 12 days total running 2.3 miles
1 day a week = 2 miles
1 day · 2 weeks = 2 days total running 2 miles
(12 · 2.3) + (2 · 2)
27.6 + 4
31.6 miles
Since ![[0,4]=[0,1]\cup(1,4]](https://tex.z-dn.net/?f=%5B0%2C4%5D%3D%5B0%2C1%5D%5Ccup%281%2C4%5D)
, we can rewrite the integral as
Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:
Both integrals are quite immediate: you only need to use the power rule
to get
![\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E11-3t%5E2%5C%3Bdt%20%3D%20%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%2C%5Cquad%20%5Cint_1%5E4%202t%5C%3B%20dt%20%3D%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4)
Now we only need to evaluate the antiderivatives:
![\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15](https://tex.z-dn.net/?f=%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%20%3D%201-1%5E3%3D0%2C%5Cquad%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4%20%3D%204%5E2-1%5E2%3D15)
So, the final answer is 15.
