Answer:
see attached
Step-by-step explanation:
You want to multiply each individual value in the matrix by the same scalar value. That is represented as the product of a constant and the matrix.
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The tax amount on price P is 0.07P. When that is added to P so you have the price + tax, you get P + .07P = 1.07P.
In this case, P is a matrix of prices.
-24 through 24, absolute value is how far a number is from 0
We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.
Answer:
y - 3 = 5(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 5 and (a, b) = (- 1, 3), hence
y - 3 = 5(x - (- 1)), that is
y - 3 = 5(x + 1) ← in point- slope form
Prime numbers > than 5 are 7, 11, 13, 17, and 19 so 5/20, or 1/4, or 25% chance
