Answer:
0.04
Step-by-step explanation:
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: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
Answer:
72°
Step-by-step explanation:
This is called an isosceles triangle. This means that the 2 angles related to the equal sides, are also equal. Hence, the answer is 72°
