Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:

We will simplify this first a bit by dividing 2000 by 1150 to get

To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
50 + (.75 x d)
D = distance traveled by in miles
A. the graph represents a relation because it contains ordered pairs (x,y). It is also a function because there are no repeating x values.
B. (0,0) (8,6)
slope = (6 - 0 ) / (8 - 0) = 6/8 = 3/4
so ur equation is : y = 3/4x or f(x) = 3/4x <===
C. the variable x represents the height of the building and the variable y (or f(x)) represents the total length of the shadow
Answer:
A function that is one to one
Step-by-step explanation:
Each input has one output.