Answer:
4.8%
Step-by-step explanation:
The population that grows with an annual percentage rate compounded continuously is given by: H = H° e^rt
Let the population be represented by H
The population reaches 1.1 times its previous size in 2 years.
So when t=2,
H = 1.1 H°
We substitute to obtain:
1.1 H° = H° e^r2
1.1 = e^2r
Take natural log to get:
In 1.1 = 2r
r = In 1.1 /2
r = 0.0477
Therefore the annual percentage rate is 4.8%
First ask yourselfhat needs to be dristributed.
That would be -1 (x-9)
To distribute you have to multiply the number out side of the parentheses (-1) by each term inside the parentheses( x and -9)
-1×x=-x
-1×-9=9
Now the expression is
-x+9+4x
To simplify you have to combine like terms (4x and-x)
4x-x=3x
Your answer is 9+3x or 3(3+x).
Answer:
Step-by-step explanation:
Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.
f(x) = 40 - 2x
For x = 0,
f(x) = 40 miles
For f(x) = 0,
0 = 40 - 2x
x = 20 minutes
This shows that helicopter traveled 40 miles in 20 minutes.
Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.
For x = 0,
f(x) = 500 miles
For f(x) = 0,
x = 100 minutes
Commercial jet traveled 500 miles in 100 minutes.
Answer:
Step-by-step explanation:
The cost of an adult ticket to the show is $5.5
The cost of a student ticket to the show is $4.25
A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be
2 × 5.5 = $11
It also means that the total cost of 3 student tickets would be
3 × 4.25 = $12.75
The total cost of 2 adult tickets and 3 student tickets would be
11 + 12.75 = $23.75
If the family pays $25, the exact amount of change they should receive is
25 - 23.75 = $1.25
