Answer:
The correct answer is 6.768.
Step-by-step explanation:
(4.23)(1.6) = 6.768
We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

Where:

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

Now we substitute the values:

Now we solve the operations, we get:

Therefore, the present value must be $39462.50
The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15. Using this information, we can answer this question by setting up proportions.
<u>For boys:</u>

<em>*Cross multiply*</em>
15x=1560
<em>*Divide both sides by 15*</em>
x=104
There are 169 boy campers.
<u>For girls:</u>

<em>*Cross multiply*</em>
15x=1365
91=x
There are 91 girl campers.
Hope this helps!!
Answer:

Step-by-step explanation:
Standard form is written this way: 
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get:
.
X= 10 y= 9 the difference between the two numbers is one and they equal 19