Given:
The initial mass of an element is 800 grams.
Decay rate = 8.2% per day
Number of days = 15
To find:
The remaining element after 15 days.
Solution:
The exponential decay model is
Where, a is the initial value r is the rate of interest and t is time period.
Putting 
in the above formula, we get
Therefore, the mass of the remaining element is 221.7 grams.
( 0, -4 ) is the vertex of the parabola
Answer:
The only non-zero fixed point is: x = 9/A.
The Step-by-step explanation:
A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:
g(x) = x
x(10 - Ax) = x
10x - Ax² = x
10x - x -Ax² = 0
9x - Ax² = 0
Ax² - 9x = 0
The solutions of this second order equation are:
x = 0 and x = 9/A.
Since we are only asked for the non-zero fixed points, the solution is: 9/A.
If number of nickel = n
number of dimes = 3n
number of quarters = 2n
Amount of nickel = 5n
Amount of dimes = 30n
Amount of quaters = 50n
Total Amount = <span>5n + 30n + 50n = 510
In short, Your Answer would be Option C
Hope this helps!</span>
Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .
