Idk i have the same problem ugh i hate geometry
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!
Usually, you create the inequality by casting the problem statement into mathematical terms. Then, solving the inequality can answer the question posed by the problem statement.
Example:
I want to carpet my 1600 ft² house, but I can only afford to spend $3000. Tax and installation costs are expected to add 20% to the total cost of the carpet. What price range of carpet should I be looking at in term of dollars per square yard?
Solution:
Let p represent the price per square yard of carpet. The problem statement tells me
(1600 ft²)×((1 yd)/(3 ft))²×p×(1 + 0.20) ≤ $3000 . . . . . created inequality
p×((1600×1.20)/9 yd²) ≤ $3000 . . . . . . . . . . . . . . . . . simplify left side
p ≤ $14.06/yd²
I can afford carpet that costs less than $14.06 per square yard.
c c a a are the right answers just took it