Answer:
you would need to use the volume formula for the specific shape. you didn't tell us what shape it was though.
It is chromatic because of all the colors.
Answer:2 1/3
make four an fraction and we get 12/3- 1 2/3
ans 2 1/3
9514 1404 393
Answer:
$7350
Step-by-step explanation:
The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...
$105,000(0.84)(1/12) = $105,000(0.07) = $7,350
Your after-tax monthly income is $7350.
a. We know the rates of change for both companies, as well as the starting values in 2013. So, to predict the values in 2022 we have to simulate the passing of 9 years. Company A loses 0.22 billions per years, so they will lose
billions in 9 years. So, we have
![A_{2022} = 4.9 - 1.98 = 2.92](https://tex.z-dn.net/?f=%20A_%7B2022%7D%20%3D%204.9%20-%201.98%20%3D%202.92%20)
Similarly, company B will have
![B_{2022} = 1.64 + 0.19\cdot 9 = 3.35](https://tex.z-dn.net/?f=%20B_%7B2022%7D%20%3D%201.64%20%2B%200.19%5Ccdot%209%20%3D%203.35%20)
billion dollars in 2022.
b. This question is similar to the previous one, except this time we have to find the number of years necessary to reach a particular goal. We have
![4.9 - 0.22x = 4.24](https://tex.z-dn.net/?f=%204.9%20-%200.22x%20%3D%204.24%20)
Solving for x, we have
![x = \dfrac{4.9-4.24}{0.22} = \dfrac{0.66}{0.22} = 3](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B4.9-4.24%7D%7B0.22%7D%20%3D%20%5Cdfrac%7B0.66%7D%7B0.22%7D%20%3D%203%20)
c. We know the behaviour of the two values, so the number of years will again be the unkown, and we set the two values to be the same:
![4.9 - 0.22x = 1.64+0.19x](https://tex.z-dn.net/?f=%204.9%20-%200.22x%20%3D%201.64%2B0.19x%20)
Solving for x, we have
![4.9-1.64 = (0.22+0.19)x \iff 3.26 = 0.41x \iff x = \dfrac{3.26}{0.41} \approx 7.9](https://tex.z-dn.net/?f=%204.9-1.64%20%3D%20%280.22%2B0.19%29x%20%5Ciff%203.26%20%3D%200.41x%20%5Ciff%20x%20%3D%20%5Cdfrac%7B3.26%7D%7B0.41%7D%20%5Capprox%207.9%20)