Answer:
$26.32
step-by-step explanation:
it originally was $40.00
she has a coupon for 30%
30% of 40.00 is 12
40 • 0.30 = 12
40 - 12
$28
it is now $28 after the coupon
her state charges an 6% sales tax on the discounted price
6% of 28 is 1.68
28 • 0.06 = 1.68
28 - 1.68 = 26.32
If the bigger pentagon has side length of 5 units and the smaller pentagon has side length of 1 unit, you can know that the dilation was 1/5 = 0.2
This means that the sides of the big pentagon were multiplied by 0.2 to obtain the smaller pentagon.
The coordinates (abscissa and ordinates) of the midpoint of the line segment is the average of the abscissas and the ordinates, respectively. Therefore, the x - coordinate of the midpoint is equal to -20 + 20 or 0 by 2 which is zero. The answer is letter E.
Answer:
Step-by-step explanation:
Acceleration is second derivative of distance and are related as:
Integrating both sides w.r.to t
Using initial value
We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)
