I need to know the answer to a,b,c,and d
1 answer:
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See the attached picture.
Answer could change slightly depending on how all the steps are rounded.
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 Amount
Same 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!
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 Amount
Same 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!
The system of the equations that have the solution of (2, -3) are given below.
3x + 2y = 0 and 3y = 2x - 13
<h3>What is the linear system?</h3>A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Write a system of equations with the solution (2, -3).
From a single point, an infinite number of lines pass through this point.
Let one line is passing through the origin. Then the equation of the line will be
And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).
Then this line also passes through a point (2, -3). Then the value of c will be
Then the equation of the line will be
3y = 2x -13
More about the linear system link is given below.
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