Answer:
$1280.59
53 years
Step-by-step explanation:
To find how much we will get in 5 years, we use the formula:
P = $1200
r = 1.3% or 0.013
t = 5
Now that we have our values, let's plug them into the formula.
We will have $1280.59 after 5 years.
Now to find how long it will take for our investment to double.
t = ln(A/P)/r
A = 2400
P = 1200
r = 1.3 or 0.013
Let's plug it in.
t = ln(2400/1200)/0.013
t = ln(2)/0.013
t = 53.32 or 53 years
Answer:
A
Step-by-step explanation:
We are given two rational functions m(x) and n(x) that have the same vertical asymptotes both with a single x-intercept at x = 5.
The correct choice will be A.
Recall the transformations of functions.
B represents m(x) being shifted up 5 units. If the function is shifted up, the vertical asymptotes will be the same, but the x-intercept will change.
C represents m(x) being shifted 5 units to the right. This changes both the x-intercept and the vertical asymptotes.
Likewise, D represents m(x) being shifted 5 units to the left. Again, this will change both the x-intercept and the vertical asymptotes.
Therefore, the only choice left is A. It represents a vertical stretch by a factor of 5. This preserves the x-intercepts and the vertical asymptotes. Consider the function:
If n(x)=5m(x), we can see that:
So, the x-interceps and vertical asymptotes are preserved.