Answer:
$15 827
Step-by-step explanation:
The formula for the amount A of depreciation of an asset by an annual percentage rate is
A = V(1 - r)ⁿ
where
n = number of years
r = annual percentage rate
V = value
Data:
n = 13 yr
r = 9 %
V = $22 400
Calculations:
A = 22 400(1 - 0.09)¹³ =22 400(0.91)¹³ = 22 400 × 0.293 45 = $ 6573
So, the car lost $6573 in value because of depreciation.
Current value = 22 400 - 6573 = $15 827
Answer:
y = 1/2x + 2
Step-by-step explanation:
for x=10, y=7
for x=20, y=12
for x=30, y=17
y = 1/2x + 2
#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }
#6. 12x³ + 26x² - 10x
factor out 2x
2x(6x² + 13x - 5) = 0
one root is zero
factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3
2x + 5 = 0
2x = -5
x = -5/2
roots are { 0, 1/3, -5/2 }
EDIT** forgot #7
#7. 125x³ + 8 = 0
125x³ = -8
x³ = -8/125
x = ∛(-8/125)
root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.
∛(-8) = +/- 2
∛(125) = 5
root { -2/5 }
Answer:
B. 3.16
Step-by-step explanation:
1) formula of the required distance is:
2) if A(3;-8) and B(0;-9), then according to the formula above:
d≈3.16
