Answer:
Step-by-step explanation:
-13/-12 = 1.0833......
The number is non terminating and repeating. So, it is rational number
The effective rate is calculated in the following way:
![r = {(1 + \frac{i}{n} )}^{n} - 1](https://tex.z-dn.net/?f=r%20%3D%20%20%7B%281%20%2B%20%20%5Cfrac%7Bi%7D%7Bn%7D%20%29%7D%5E%7Bn%7D%20-%201)
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
This is an exponential function.
The starting population is: 10,000 and it doubles every 14 years.
In 42 years ( 42 : 14 = 3 ) the population doubles 3 times.
The equation ( exponential ) is :
y = 10,000 * 2^n
In this case: n = 3
y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000
Answer: In 42 years the population of this town will be 80,000.
First find the length of leg BC by using the Pythagorean theorem BC=132+52=12 ft if we find the midpoint of BC which is 6 ft we find where the angle bisector would touch the BC. From there we construct another triangle ANC where AC is equal to 5 ft and NC is equal to 6 ft where we can again use the Pythagorean theorem to find the length of the hypotenuse which is the angle bisector AN=Angle Bisector=62+52<span>=7.8102 ft.</span>
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