If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696
Answer:
3. 3 and 4
4. 5 and 6
5. x=-3
Step-by-step explanation:
3.
is between 3 and 4 because 3 is equal to
and 4 is equal to
. Since 11 is in between 9 and 16 this is the answer.
4. Same thing, except since 5 is
and 6 is
, and 34 is between 25 and 36
5. The equation is -31=4x-19, and we need to isolate x
First, add 19 to both sides
![4x=-12](https://tex.z-dn.net/?f=4x%3D-12)
And next divide both sides by 4 to get
![x=-3](https://tex.z-dn.net/?f=x%3D-3)
Answer:
See below
Step-by-step explanation:
a)
<u>Day 1</u>
- 70 min for 10 km
- Rate = 70/10 = 7 min/km
<u>Day 10</u>
- 2h40 min for 20 km
- 2*60+40 = 160 min for 20 km
- Rate = 160/20 = 8 min/km
<u>Day 20</u>
- 4 h 15 min for 30 km
- 4*60 + 15 = 255 min for 30 km
- Rate = 255/30 = 8.5 min / km
b)
<u>From the rate change we see:</u>
- 1 min increase when the distance increases from 10 km to 20 km
- 0.5 min increase when distance increases from 20 km to 30 km
So we see 1 min increase per twice the distance increase
- With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km
- With same logic we get 9.055 km/min rate for 44 km distance
<u>Total time it takes:</u>
- 9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 min
Answer:
The domain of g(x) is all real numbers.