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3 years ago

14

Hannah spent 40% of the money she earned last month. If she spent $50, what was the total amount of money that she earned babysi

tting last month

2 answers:

gavmur [86]3 years ago

8 0

Let, the amount she earned = x
Then, x * 40% = 50
x * 0.40 = 50
x = 50 / 0.40
x = 125

In short, Your Answer would be Option C

Hope this helps!

zaharov [31]3 years ago

4 0

$10 dallor she spend last month

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Use the given information to determine the exact trigonometric value.<br> (in the image attached)

notka56 [123]

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Step-by-step explanation:

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2 years ago

Daniella is interviewing for a job. She wants her take-home pay to be at least $51,000$51,000. What is the least salary she can

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3 years ago

Read 2 more answers

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WINSTONCH [101]

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<u>Step-by-step explanation:</u>

There are 3 conditions that must be satisfied:

f(x) is continuous on the given interval
f(x) is differentiable
f(a) = f(b)

If ALL of those conditions are satisfied, then there exists a value "c" such that c lies between a and b and f'(c) = 0.

f(x) = x³ - x² - 6x + 2 [0, 3]

1. There are no restrictions on x so the function is continuous $\checkmark$

2. f'(x) = 3x² - 2x - 6 so the function is differentiable $\checkmark$

3. f(0) = 0³ - 0² - 6(0) + 2 = 2

f(3) = 3³ - 3² - 6(3) + 2 = 2

f(0) = f(3) $\checkmark$

f'(x) = 3x² - 2x - 6 = 0

This is not factorable so you need to use the quadratic formula:

$x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(-6)}}{2(3)}\\\\\\.\quad =\dfrac{2\pm \sqrt{4+72}}{2(3)}\\\\\\.\quad =\dfrac{2\pm \sqrt{76}}{2(3)}\\\\\\.\quad =\dfrac{2\pm 2\sqrt{19}}{2(3)}\\\\\\.\quad =\dfrac{1\pm \sqrt{19}}{3}\\\\\\.\quad \approx\dfrac{1+4.4}{3}\quad and\quad \dfrac{1-4.4}{3}\\\\\\.\quad \approx1.8\qquad and\quad -1.1$

Only one of these values (1.8) is between 0 and 3.

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2 years ago