The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.
Answer:
$22.20
Step-by-step explanation:
We are told that $13.32 only covered 3/5 of the cost. Does this mean it covered the whole cost? No. The 5 in the denominator represents the whole cost, and the 3 represents the fraction of the cost. In this case, 13.32 represents the 3, as it did not cover the whole cost.
Let's set up our equation by making 13.32 into a fraction.
13.32/x
We will represent the present's actual cost with the letter x.
13.32/x = 3/5
We want to make sure the 13.32 is in the numerator, equal to the 3 in the numerator in the 3/5 number, because we know that $13.32 only covered for a <em>fraction </em>of the present's cost, not the whole cost.
We solve this by doing cross multiplication. Multiply the 13.32 by the 5.
13.32 x 5 = 66.6
Next we divide 66.6 by 3 to get 22.2
66.6/3 = 22.2
This gives us our final answer of $22.20. This means that the cost of the original present was $22.20
Answer: Yes, they are equal
lets see how,
solve the given equation,
–3(0.15 – 0.2 + 0.25p)
Step 1: Inside the bracket solve the similar variables i.e. (0.15 - 0.2)
So it will become,
= -3 ( -0.05 + 0.25p )
Step 2: Multiply each term in the bracket by -3
So it will be,
((-3*-0.05 ) + (-3 * 0.25p))
= 0.15 - 0.75p
Hence 0.15 – 0.75p is equal to –3(0.15 – 0.2 + 0.25p )
Answer:
t = 2.7
Step-by-step explanation:
1. Use formula provided
2. A = 3500 B = 2000 r = 4.75 n = 12months/4 = 3 months t = ?
3. Solve
3500=2000(1+4.75/3)^3t
3t=logbase(31/12)*1500
t=logbase(31/12)*1500 / 3
t ≅2.568
Answer:
10 points
Step-by-step explanation:
From the passage, we know:
1. Jay earned 15 points after spending $60
2. We want to know the number of points he can earn if he spends $40
We can set this up into proportions.
60:15 = 40:x
The x is the number of points he will get after spending $40.
15(40) = 60x
600 = 60x
x = 10
Jay will earn 10 points if he uses $40.
