Given:
Rate of interest = 8% compounded continuously.
Amount = 100,000
Time = 25 years
To find:
The principal value.
Solution:
Formula for amount after continuous compound interest:

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting
in the above formula, we get




On further simplification, we get

Therefore, the amount 13533.528 is invested.
I’m pretty sure it’s the last one. :)
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, the answer is D, 191 feet
Answer:
integer
Step-by-step explanation:
The greatest integer function produces the greatest integer less than or equal to x