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xenn [34]
3 years ago
6

I need help with this, I've been struggling with this for the past few minutes.​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

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 0.22\cdot 9 = 1.98 billions in 9 years. So, we have

A_{2022} = 4.9 - 1.98 = 2.92

Similarly, company B will have

B_{2022} = 1.64 + 0.19\cdot 9 = 3.35

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

Solving for x, we have

x = \dfrac{4.9-4.24}{0.22} = \dfrac{0.66}{0.22} = 3

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

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

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