R=R/100=4/100=0.04 per year. Solving equation A=P(1+rt ). A=4000(1+0.04)=4160. A=$4160
Answer:
$44.98
Step-by-step explanation:
12.25 x 4 = 49
if her coupon is 15% off then she pays 85% of 49, which is 41.65
8% tax added to 41.65 is, 41.65 × .08 = 3.33
total cost is 41.65 + 3.33 = 44.98
Step-by-step explanation:
The lateral area is formula for a cylinder is
![2\pi \times r \times h](https://tex.z-dn.net/?f=2%5Cpi%20%5Ctimes%20r%20%5Ctimes%20h)
where r is radius and h is height.
![2\pi \times 8 \times 3 = 48\pi](https://tex.z-dn.net/?f=2%5Cpi%20%5Ctimes%208%20%5Ctimes%203%20%3D%2048%5Cpi)
The surface area of cylinder is
![2\pi \times {r}^{2} + 2\pi \times r \times h](https://tex.z-dn.net/?f=2%5Cpi%20%5Ctimes%20%20%7Br%7D%5E%7B2%7D%20%20%2B%202%5Cpi%20%5Ctimes%20r%20%5Ctimes%20h)
![2\pi(64) + 2\pi(24)](https://tex.z-dn.net/?f=2%5Cpi%2864%29%20%2B%202%5Cpi%2824%29)
![128\pi + 48\pi](https://tex.z-dn.net/?f=128%5Cpi%20%2B%2048%5Cpi)
![176\pi](https://tex.z-dn.net/?f=176%5Cpi)
Volume of cylinder is
![\pi \times {r}^{2} \times h](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%20%20%7Br%7D%5E%7B2%7D%20%20%5Ctimes%20h)
![\pi \times 64 \times 3](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%2064%20%5Ctimes%203)
![192\pi](https://tex.z-dn.net/?f=192%5Cpi)
Answer:
the coefficient of the 2nd term: - 38
Step-by-step explanation:
V = 2x (4x + 1) (5x - 6)
=(8x² + 2x) (5x - 6)
= 40x³ - <u>38</u> x² - 12x
Answer:
![12+c-2d](https://tex.z-dn.net/?f=12%2Bc-2d)
Step-by-step explanation:
<u><em>The correct expression of the problem is</em></u>
![4\left(3 + \dfrac14c - \dfrac12d\right)](https://tex.z-dn.net/?f=4%5Cleft%283%20%2B%20%5Cdfrac14c%20-%20%5Cdfrac12d%5Cright%29)
Applying the distributive property
![4\left(3 + \dfrac14c - \dfrac12d\right)=(4*3)+(4*\dfrac{1}{4} c)-(4*\dfrac{1}{2} d)=(12)+(c)-(2d)](https://tex.z-dn.net/?f=4%5Cleft%283%20%2B%20%5Cdfrac14c%20-%20%5Cdfrac12d%5Cright%29%3D%284%2A3%29%2B%284%2A%5Cdfrac%7B1%7D%7B4%7D%20c%29-%284%2A%5Cdfrac%7B1%7D%7B2%7D%20d%29%3D%2812%29%2B%28c%29-%282d%29)
therefore
The equivalent expression is equal to
![12+c-2d](https://tex.z-dn.net/?f=12%2Bc-2d)