Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
Answer:
Step-by-step explanation:
The equation modeling the situation is ;
y = 25x + 80
We want to know what the y-intercept mean in this question
Mathematically, the equation of a straight line is ;
y = mx + c
where c is the y intercept and m is the slope
What we should understand is that at the y intercept which is 80 here, the value of x is 0
Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80
Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables
100% + 30% = 130%
130% x = 520 Change a % to a decimal
(130/100) x = 520
1.3 x = 520 Divide by 1.3
x =520 / 1.3
x = 400
So the original cost of the item was 400 dollars.
In Trigonometey, the radian measure of an angle theta is the length of an arc that subtends in a circle of radius having a formula of circumeference divided by 2xpi and that the ratio 2pi and the circumference over the radius is called tha radian measure.
Answer:
LN=37 units
Step-by-step explanation:
In this problem I will assume that M is a point between point L and point N
therefore
LN=LM+MN
substitute the given values
LN=22+15=37 units