We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.






Now we will subtract principal amount from final amount to find amount of interest as:


Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.
Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation
.
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. 
And finally we have
. We input to calculator.

See the attached picture below showing the shore with the boat out at sea and the position of the person.
Answer:
B
Step-by-step explanation:
You can just move upper y equation and it will be:
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=30
x=2
Answer:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:
f
(
x
)
= x
^2
, [
2
,
3
]
The rate of Change is 2
Step-by-step explanation: