The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve

The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,

From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
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Answer:
Rs 42000 and Rs 40000
Step-by-step explanation:
Given that Rs 82000 is divided into two parts.
Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.
The rate of interest = 5%=0.05
The total amount after 2 years 
The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.
The total amount after 3 years 
As both the amounts are equal, so from equation (i) and (ii)

x= 42000
And the other part = 82000-42000 = Rs 40000
Hence, he divides the money as
Rs 42000 at 5% per annum compound interest in 2 years and
Rs 40000 at 5% per annum compound interest in 3 years.
No, in order to do the correct ratio she would have needed to add 4.5 pints to 3 pints because if you divide 9:6 by 2 it is 4.5:3 not 4:3
Answer:
$20 x 122% = $24.40
or look at it this way:
$20 x 1.22 = $24.40
Step-by-step explanation: