Since only the principal value, interest rate and interest period are given, we can deduce that "finance charge" only includes the interest to be paid at the end of the term. This can be obtained by subtracting the principal value from the future value which we will solve for.
The future value can be solved by using the following compound interest formula:
Let:
F = Future value
P = Principal value
r<span> = annual interest rate </span>
n<span> = number of times that interest is compounded per year</span>
t<span> = number of years</span>
F = P(1 + r/n)^nt
Substituting the given values:
F = 4250(1 + 0.1325/12)^(12*2)
F = 5531.54
Subtracting P from F:
Finance charge = 5531.54 - 4250 = 1281.54
Therefore the finance charge is $1,281.54
The correct answer would be c. Hope this helps!
The two positive numbers satisfying the given requirements are 15.56 and 15.56
For given question,
Let x and y be two positive numbers satisfying the given requirements.
⇒ xy = 242 .............(1)
The sum of given two positive numbers is a minimum.
Let the sum of given two positive numbers is S.
⇒ x + y = S ............(2)
From equation(1),
⇒ y = 242/x
Substitute above value of y in equation (2),
⇒ x + y = S
⇒ S = x + (242 / x)
Now, for above equation we find the derivative of x with respect to x.
⇒ 0 = 1 - 
⇒ 242/x² = 1
⇒ x² = 242
⇒ x = ±15.56
Since the numbers are positive, x = 15.56
For x = 15.56
⇒ y = 15.56
Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56
Learn more about the equation here:
brainly.com/question/649785
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Answer:
30.3
Step-by-step explanation:
First we find the area of the trapezoid. The formula for that is (b1+b2)/2(h)
2+10=12
12/2=6
6x4=24
To find the area of a semicircle we do πr²/2
2^2=4
4x3.14=12.56
12.56/2=6.28
24+6.28=30.28
That is extremely close to 30.3 so the paper must be a bit off.
Answer:
8m^4 -8m^3 -7m^2 -12 m
Step-by-step explanation:
(4m^4 - 8m^3 - 7m) + (4m^4 - 7m^2 - 5m)
I like to line them up vertically. I put 0 in the spots to keep them lined up
4m^4 - 8m^3 +0m^2 -7m
+4m^4 +0m^3 - 7m^2 - 5m
--------------------------------------------
8m^4 -8m^3 -7m^2 -12 m
