March, April, and May correspond to 3,4, and 5th months. Each month the amount of money he saves increases by $40, so this is a constant rate of change, or constant velocity, which means that this is a linear equation. Let y=the amount of money he has and x=the month number and model it with the line of form y=mx+b, where m=slope, or rate, and b=y-intercept...
y=40x+b, we know that he has $40 on the third month (February) so:
40=40(3)+b
40=120+b
-80=b so the equation is:
y=40x-80 (note that the domain is x=[3, +oo) only for the function to have meaining)
Now you want to know when he has $320...
320=40x-80
400=40x
10=x
So he will have $320 on the 10th month, which is October.
Answer:9.072×10³
Step-by-step explanation:
A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer
9072 is more than 10
So 9072÷10=907.2
Still 907.2 is more than 10
So 907.2÷10=90.72
Still 90.72 is more than 10
So 90.72÷10=9.072
9.072 is less than 10
We divided 9072 by 1000 and 1000 as a power of ten is 10³
So the answer is 9.072×10³
Answer:
I.
A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4
Null space is exactly two dimensional plane
dim null (A) = 2
II.
Rank A = dim U - dim Null A = 5 - 2 = 3
III.
Number of linearly Independent columns of A is the rank of A = 3
IV.
Yes, The system Ax = b has no solution sometimes as range of A \neq V
V.
Yes,Sometimes Ax = b has a unique solution
VI.
Yes, sometimes Ax = b has infinitely many solutions
Answer:
17053.56
Step-by-step explanation:
Half a centimeter is 5 millimeters.
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