Y=kx
12=-4k
k = -3
so when y = 15
y = kx
15 = -3x
x = -5
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$50 / 0.04 = $1250 (4% interest)
so
1250 * 0.06 = $75
answer
interest $75 at 6%
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y = kx
1/4 = 4k
k = 1/16
when x = 5
y = kx
y = 1/16(5)
y = 5/16
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y = kx
-5 = 4k
k = -5/4
direct equation
y = -5/4x
Answer:
The answer is D.
Step-by-step explanation:
Straight from the test. =)
Answer:
Step-by-step explanation:
Given is a function f in two variables as
To find critical points of the given function and also to find max, min or saddle point.
Find the partial derivatives
Equate first derivatives to 0
Adding fx and fy we get
x=±y
Only real roots are (x,y) =(3,3) and (-3,-3)
(3,3) is a saddle point
(-3,-3) is also a saddle point.
Answer: 9.2 years
Step-by-step explanation:
Given the following :
Mean(m) = 11.7 years
Standard deviation (s) = 1.2 years
Recall the z-score formula :
Z = (x - m) / s
We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.
2% = 0.02
0.02 falls most closely to 0.02018whuch is under - 2.05.
Using the z-score value in the formula above :
-2.05 = (x - 11.7) / 1.2
Cross multiply
(-2.05 × 1.2) = x - 11.7
-2.46 = x - 11.7
x = - 2.46 + 11.7
x = 9.24 years
Two angles that sums to 180° is supplementary.
Two angles that sums yo 90° is complementary.
