This is hard in mathematical language, but there is only this way to present it. Let us denote by A the consentration of the substance and by A' its rate.
We have that b/A= t+c where c is a constant.
Hence A=b/(c+t)
By differentiating, we get that A'=-b/(C+t)^2
Then, we have that -(A)^2=A'/b
Hence at any point, we have that if we make the concentration 17 times, we have that there is a 17 times bigger , the rate will become bigger by 17*17, hence 289 times faster.
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
Check the picture below.
now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.
whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.
<span>Given:
Say 6Q = 6 quarters in a jar
2Q is added everyday
After X days, Amount of quarters = 6Q + (2Q * X)
So answer would be: D) which is y = 2x + 6</span>