To solve this we are going to use the future value of annuity ordinary formula:
![FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bkt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
where

is the future value

is the periodic payment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the number of payments per year

is the number of years
We know for our problem that

and

. To convert the interest rate to decimal form, we are going to divide the rate by 100%:

Since the deposit is made semiannually, it is made 2 times per year, so

.
Since the type of the annuity is ordinary, payments are made at the end of each period, and we know that we have 2 periods, so

.
Lets replace the values in our formula:
![FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bkt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
![FV=6200[ \frac{(1+ \frac{0.06}{2} )^{(2)(5)} -1}{ \frac{0.06}{2} } ]](https://tex.z-dn.net/?f=FV%3D6200%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.06%7D%7B2%7D%20%29%5E%7B%282%29%285%29%7D%20-1%7D%7B%20%5Cfrac%7B0.06%7D%7B2%7D%20%7D%20%5D)
We can conclude that the correct answer is <span>
$71,076.06</span>
Answer:
a) 
b) 5464 inhabitants.
Step-by-step explanation:
The formula used for compound interest becomes very helpful in this case.

Knowing this, we can easily calculate the value for any year, counting from the original 5000.
From this formula, we can derive a specific one that will serve for any value of <em>t</em>.
a)

b) Apply the formula:

The town will have 5464 inhabitants.
Answer:
1.25x+0.75y>25
x+y>20
Explanation:
Selling 20 cups of lemonade and 15 ice pops will raise enough money to go to the water park.
0.75x+1.25y≥25
For this case, we know that:
Then, by Pythagorean theorem (right triangle on the right) we have:
So, again using the Pythagorean theorem (right triangle on the left) we have:
Substituting values:
Rewriting:
Answer:
The value of CA is given by:

Well to find out X, you have to do the opposite to what it's asking to each side. So 11=x-4
+4 onto the 11 and + 4 on to the -4 which means you just have 15=X