Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that 
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that 
So
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
Rounding to the nearest whole number, 96 people.
Answer:
54
Step-by-step explanation:
−2x4+10x5+2x6
A) Sub g(x) and h(x) into the equation:
x^2 + 3x - 40 - (-x -3)
= x^2 + 3x - 40 +x + 3
= x^2 + 4x - 37
Find x:
x= 4.40 and x= -8.40
b) Sub f(x) and g(x) into the equation:
(x^2 - 64) / (x^2 + 3x -40)
= ((x+8) x (x-8)) / ((x+8) x (x-5))
= (x - 8) / (x-5)
Find x:
x= 8 and x = 5
How to get those number:
(x^2 - 64) = x^2 - 8^2 = (x-8) x (x+8)
( x^2 + 3x - 40) = (x^2 + +8x - 5x - 40) = x( x + 8) - 5( x + 8) = (x-5) x (x+8)
Try to do c and d :)
Answer:
π
The desired formula is y = 3cos(----- t) + 5
5
Step-by-step explanation:
From maximum point to minimum point, the change in x is 5 and the change in y (min to mx) is (8 - 2), or 6. The graph repeats itself beginning at x = 6 and thus has period 10 (e. g., from first max to next max).
2π
Period and frequency are related through period = ------
b
and so if the period is 10 (as it is here),
2π 2π π
period = 10 = ------------ Therefore, b = ------- = -------
b 10 5
π
The desired formula is y = 3cos(----- t) + 5
5
3 is the amplitude and 5 is the vertical offset from y = 0.
