First, determine the effective interests given both interest rates.
(1) ieff = (1 + 0.068/12)^12 - 1 = 0.07016
(2) ieff = (1 + 0.078/12)^12 - 1 = 0.08085
Calculating the interests will entail us to use the equation,
I = P ((1 + i)^n - 1)
Substituting the known values,
(1) I = ($5125)((1 + 0.07016)^1/2 - 1)
I = $176.737
(2) I = ($5125)(1 + 0.08085)^1/2 - 1)
I = $203.15
a. Hence, the greater interest will be that of the second loan.
b. The difference between the interests,
d = $203.15 - $176.737
$26.413
Answer:
(3,-2)
Step-by-step explanation:
Given equations of line
3x-2y=13
2y+x+1=0
=> x = -1 -2y
Point of intersection will coordinates where both equation have same value of (x,y)
top get that we have to solve the both equations by using method of substitution of simultaneous equation.
using this value of x in 3x-2y=13, we have
3(-1-2y) -2y = 13
=> -3 -6y-2y = 13
=> -8y = 13+3 = 16
=> y = 16/-8 = -2
x = -1 - 2y = -1 -2(-2) = -1+4= 3
Thus, point of intersection of line is (3,-2)
we know that
The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign
so
In this problem we have

the conjugate is equal to--------> 
therefore
<u>the answer is the option</u>
10+3i
See Quadratic Formula and Determinant's/Delta's formula
Answer:
What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000
To make the statement above true, we would need to divide 35,000 by 7 since the answer would be 10% of the number we need. Once we do this we get 5000 which is 10% now we multiply 5000 by 10 to get 100% and we get 50.000 once we give this amount to the person and 30% is taken away they are left with 35,000