Answer:

Step-by-step explanation:
Use the exponential growth formula

Where A is the final amount in the account, P is the initial amount, r is the growth rate and t is the time in years
In this problem
We know that

So

Finally after 5 years the balance of the account is:

Answer:
A Open circle at 6, line going to the right
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
We know the area is greater than 24
24 < l*w
One dimension is 4
24 < 4*w
Divide each side by 4
24/4 < 4w/4
6 < w
The other dimension must be greater than 6
Open circle at 6, line going to the right
The first thing we need to do is use tan to find x. If the original angle of depression is 7 degrees, then the angle from the cliff to the bow of the boat is 90-7=83 degrees. Thus,<span>tan83 = <span>d / 150</span></span>or we can express it like this:<span>d =150 tan 83 ≈ 855.2</span><span>where d is the total distance from the boat to the cliff when the angle of depression is 7 degrees. Hope this helps a lot</span>
I did my best to explain it on graph paper. I hope this helps! Look at the attached picture.