Amy earns $0.16 per unit for the work she does. For all units she produces in a week over 1,000, she receives $0.26. What were her weekly earnings if she produced 1,725 units in one week?

Answer: The number of units produced by Amy in one week $=1725$

For the first 1000 units, she earns $0.16 per unit. Therefore, her total earning's for the first 1000 units is $0.16 x 1000 = $160

For the remaining 1725 - 1000 = 725 units, she earns $0.26. Therefore, her total earning for the 725 units is $0.26 x 725 = $188.5

Therefore, Amy's total for one week = $160 + $188.5 = $348.5

Hence, the option b. $348.50 is correct

3 0

4 years ago

What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

timofeeve [1]

We need to find the quotient of the given division problem.

$\frac{x^{3}-3x^{2}+3x-2}{x^{2}-x+1}$

In order to find its quotient, we will use long division.

$x^{2}-x+1$ ) $x^{3}-3x^{2}+3x-2$

First of all, we put x in the quotient as $x^{2}$ goes into $x^{3}$ , x times.

So, we get:

$x^{2}-x+1$ ) $x^{3}-3x^{2}+3x-2$ (x

$\text{ ..................}x^{3}-x^{2}+x$

Upon subtracting, we get:

$\text{....................}-2x^{2}+2x-2$

We can see that $x^{2}$ goes into $-2x^{2}$ , -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).

5 0

4 years ago

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