Answer:
Megan paid $71,505 in total.
Step-by-step explanation:
As the information states that earnings of over 150,000 are taxed at a rate of 45%, to be able to find the amount Megan paid, you have to calculate the 45% of the amount she earned:
158,900*45%=71,505
According to this, the answer is that Megan paid $71,505 in total.
Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
...(i)
The function goes through point (0,12). Substituting
, we get


The function goes through point (3,6144). Substituting
in the general exponential function, we get





Putting
in (i), we get

Therefore, the required exponential function is
.
Answer:
Step-by-step explanation:
Evaluate 6(5-(6-5)-3) = 6(5-1-3) {first solve innermost bracket}
= 6* (5-4) = 6*1 =6
Answer:

Step-by-step explanation:
Answer:
The length of the unknown side x is 4 cm
Step-by-step explanation:
we know that
The perimeter of a polygon is equal to the sum of its length sides
Remember that
1 cm=10 mm
In this problem we have
AB=45 mm ------> convert to cm -----> AB=45/10=4.5 cm
BC=10 cm 4 mm -----> convert to cm -----> BC=10+4/10=10.4 cm
CD=5 cm 6 mm -----> convert to cm -----> CD=5+6/10=5.6 cm
DE=35 mm ------> convert to cm -----> DE=35/10=3.5 cm
EA=x cm
P=280 mm ------> convert to cm -----> P=280/10=28 cm
The perimeter of the irregular polygon is equal to
P=AB+BC+CD+DE+EA
substitute the values
28=4.5+10.4+5.6+3.5+x
28=24+x
x=28-24
x=4 cm