The rate of change of the amount of raw sugar is proportional to the amount of raw sugar remaining. if 1000 kg of raw sugar reduces to 800 kg of raw sugar during the first 10 hours, how much raw sugar will remain after another 14 hours?

 After 14 hours, 740.74 kg of raw sugar will remain.

Step-by-step explanation:  Given that the rate of change of the amount of raw sugar is proportional to the amount of raw sugar remaining.

Also, 1000 kg of raw sugar reduces to 800 kg of raw sugar during the first 10 hours.

We are to find the amount of raw sugar that will remain after another 14 hours.

Let x and y represents the rate of change of amount of raw sugar and the amount of raw sugar that left respectively.

Then, according to the given information, we have

Now, when y = 800, then x is given by

So, from equation (i), we have

That is,

After 14 hours, we have

Thus, after 14 hours, 740.74 kg of raw sugar will remain.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

%40

step-by-step explanation: