F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
2% gain
Step-by-step explanation:
We assume the shopkeeper bought the appliances at the indicated prices, and that gain is computed on the basis of that cost price.
Since the base cost is the same for each appliance, the percentages can be added directly to find the percentage gain on 8000. However, the shopkeeper's total outlay was 16000, not 8000, so the final gain percentage is half of that total.
gain percent = (-4% + 8%)/2 = 2%
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If you want to see the actual numbers:
Loss on VCR = 4% × 8000 = 320.
Gain on TV = 8% × 8000 = 640.
Total gain on 16000 is -320 +640 = 320. As a percentage, that is ...
320/16000 × 100% = 2%
Answer: you said help so I’m not going to give the actual answer, just how to do it.
Step-by-step explanation:
You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.
X / 8 = 3.75
X = 3.75 * 8
X = 30
