Answer:
v=6
Step-by-step explanation:
2v is positive so keep it
then 2v=12
v=6
Answer:

Step-by-step explanation:
<u>Complete Question:</u>
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?
<u>Solution:</u>
First Swing:
24 m
Second Swing:
Half of first, so
24(1/2)
Third Swing:
Half of second, so:
24(1/2)(1/2)
Fourth Swing:
24(1/2)(1/2)(1/2)
So we see the general formula as:

<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1
where n is the number of swings
Answer:
The equation of the exponential function represented by the table will be:

Step-by-step explanation:
We know the equation of exponential function such as

Put x=0, and y=2 in the function


Also x=1, and y=8 in the function


Thus,


Therefore, the equation of the exponential function represented by the table will be:

15,000
Since her interest is simple, it adds the 10% to the original amount.
So, we multiply her amount (10,000) by the interest rate (.1) and by the amount of years (5).
10,000 * .1 * 5= 5,000
This is how much she has gained from said interest. Adding this to 10,000 gives us 15,000, which is the amount she will have.
Another way to do this would be to make a chart/table:
Start: 10,000
1. 11,000
2. 12,000
3. 13,000
4. 14,000
5. 15,000
And thus, we get the same answer.