Two lines intersect in one point.
Before we start answering the question, let's define the compound interest formula:
Where:
<span>'A'</span> is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years
<span>
(A) Find Principal Amount</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:



∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.
(B) Find Principal AmountSame given values as above, with the exception of 't' which is now 10 instead of 5.



∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.
Hope this helps!
Complete Question
The diagram for the question is shown on the first uploaded image
Answer:
The final position of Karel is shown on the second uploaded image
Step-by-step explanation:
On the diagram the dot represents steps to be taken by Karel
Now after Karel the Dog has moved forward three spaces, Karel will be standing on a ball, so Karel will turn right move forward two spaces
So the final position of Karel is shown on the second uploaded image
I'm going to assume you mean:
13 * (3/4) + x = 7 * (1/4)
Let's go ahead and simplify the right side.
7 * (1/4) = 1.75
So now we have:
13 * (3/4) + x = 1.75
Now let's take care of the right side. Multiplication before addition.
13 * (3/4) = 9.75
9.75 + x = 1.75
To isolate x, we subtract 9.75 from both sides.
9.75 - 9.75 + x = 1.75 - 9.75
x = -8
Hopefully I spaced this well. \('-')/
17,064. Do multipcation and line numbers up, remember to carry.