Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer: $735.49
Step-by-step explanation:
Given, the price of 10 tolas gold bought from American market = $553
Custom duty charge = 20%
VAT = 13%
Custom duty charge = 20% of $553
= 0.20 x 553 [we divide a perecntage to convet it into decimal]
= $110.6
VAT = 13% of $553
= 0.13 x 553
= $71.89
Selling price = Original price +Custom duty charge + VAT
= $553+$110.6+ $71.89
= $735.49
Hence, it should be sold at $735.49
.
Answer:
517,262
Step-by-step explanation:
A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?
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Ans: (1.5)^18 * 350 = 517,262
