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.
Answer=B
The explanatory variable is another term for the independent variable. The independent variable is the 'thing' that YOU decide to change/manipulate in an experiment. The type of nail polish given was the independent variable for this experiment.
Easy! The best answer is B!
PLEASE GIVE ME THE BRAINLIEST I TRIED REALLY HARD ON THIS QUESITON!
Answer:
i think its 105
Step-by-step explanation:
Your problem statement needs a bit of correction:
"<span>Y= -16t^2 +400, where t represents the number OF SECONDS after the camera is dropped. How long will it BE before Kay sees the splash from the camera hitting the water?"
Set y = -16t^2 + 400 = 0. We assume that 400 and 0 represent feet (English system).
Then 16t^2 = 400, and so 25 = t^2. Only the positive square root makes sense here, and that root is 5 (seconds).</span>
