Answer:
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
The function to represent the mass of the sample after t days is 
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Hourly rate of change:
Decreases 26% by day. A day has 24 hours. This means that 
; We use this to find r.
![\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}](https://tex.z-dn.net/?f=%5Csqrt%5B24%5D%7B%281-r%29%5E%7B24%7D%7D%20%3D%20%5Csqrt%5B24%5D%7B0.74%7D)
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
Starts out with 810 grams of Element X
This means that 
Element X is a radioactive isotope such that its mass decreases by 26% every day.
This means that we use, for this equation, r = 0.26.
The equation is:
The function to represent the mass of the sample after t days is
For this case we are going to assume the following:
m: whole number greater than zero.
n: integer greater than zero.
Where,
n> m
According to these assumptions, the percentage of growth is given by the following formula:
Answer:
the number of students did grow by:
Answer:
14x+14/33
Step-by-step explanation:
14÷3/11+14x=
Answer:
ksh 140
Step-by-step explanation:
When a watch is sold for ksh 126 a loss of x% is made, that is( 100 - x)%
Hence, the loss amount = (126 X 100)/(100 - x)
When the same watch is sold for ksh 154 a profit of x% is made, that is (100 + x)%
Hence, the profit amout = (154 X 100)/(100 + x)
Therefore, (126 X 100)/(100 - x) = (154 X 100)/(100 + x)
12600(100 + x) = 15400(100 - x)
1260000 + 12600x = 1540000 - 15400x
28000x = 280000
x = 10%
In that case for a watch sold for ksh 126 a loss 10% is made, that is( 100 - 10)%
Hence, loss amount = (126 X 100)/90 = ksh 140
∴ the buying price is ksh 140
