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:
Step-by-step explanation:
In the question, we're given 
. Therefore, the measure of these two angles must be equal.
To find the value of 
, set these two angles equal to each other:
Add 26 and subtract from both sides:
Divide both sides by 3:
Since 
was labelled as 
, substitute 
to find its measure:
You can also substitute into the label of angle D as angle A is congruent to angle D for easier calculations (
).
Answer:
2 on top and bottom of 4 5 is 3 on top and bottom and lastly 6 is 8 on top and bottom.
Step-by-step explanation:
all you have to do is divide the two bottom numbers on each problem and the answer to the problem will be the same on top and bottom
Answer:
The translated function can be written as:
y = f(x) + 4
Answer:
x = 45, y = 5
Step-by-step explanation:
It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,
2x + 20y - 10 =90
2x+20y = 100
x + 10y = 50
And
2x = 20y-10
x = 10y -5
x - 10 y = -5
Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:
x + 10y =50
x - 10y = -5
------------------
x = 45
Therefore, the value of y after substitution of the value of x in one of the equations will be:
90 = 20y - 10
20 y = 100
y = 5
Hence, the required value of x and y are 45 and 5 respectively.
