N(-2,-2) After a rotation 90 degrees counterclockwise

Mathematics

1 answer:

RUDIKE [14]2 years ago

6 0

Answer: (2,-2)

Step-by-step explanation:

Rotating 90 degrees counterclockwise (about the origin) maps (x,y) onto (-y,x), so the answer is <u>N'(2,-2)</u>

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A business owner opens one store in town A. The equation p(x) = 10,000(1.075) represents the anticipated profit after t years. T

alexgriva [62]

The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both store A and store B follow the same equations but t is different for them, you can right:

Store A: pA (t) 10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.

7 0

3 years ago

Read 2 more answers

Madison's family traveled 5 7 of the distance to her uncle's house on Saturday. They traveled 1 2 of the remaining distance on S

Pepsi [2]

Answer:

The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7

Step-by-step explanation:

Let the total distance from Madison house to her uncle is 1 unit

She travels 5/7th of the total distance on Saturday

Remaining distance = $1-\frac{5}{7} = \frac{2}{7}$