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3 years ago

14

At your summer job, you make $500 per month plus a commission of $2.75 on every item you sell. If you sold 145 items last month,

what will your total paycheck amount to?
A. $885
B. $385
C. $539
D. $925

1 answer:

julia-pushkina [17]3 years ago

7 0

Answer:

$898.75

Step-by-step explanation:

Total paycheck=Fixed cost +commission

Here, considering that the fixed pay is $500 then commission depends on items sold

Calculation for commission

Earnings from commission will be the product of rate per item and the number of itema.

Comission per item is given as $2.75 and the number of items are 145 hence commission based on items sold will be

145*$2.75=$398.75

Total paycheck will be the sum of the above comission and fixed pay. The fixed pay is given as $500

Total payment

398.75+500=$898.75

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

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Answer:

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Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

1) $t = 2-x$ Given

2) $y = 5\cdot x +11$ Given

3) $y = 5\cdot (x\cdot 1)+11$ Associative and modulative properties

4) $y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11$ Existence of multiplicative inverse/Commutative property

5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

6) $y = -5\cdot (-x)+11$ $\frac{a}{-b} = -\frac{a}{b}$ / $(-1)\cdot a = -a$

7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

11) $y = (-5)\cdot (2-x) +21$ $(-a)\cdot (-b) = a\cdot b$

12) $y = (-5)\cdot t +21$ By 1)

13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

14) $t+x = (2-x)+x$ Compatibility with addition

15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

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