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Elena-2011 [213]
3 years ago
10

Sasha sells T-shirts. Each day she earns a set amount, plus a commission.

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

Domain → 0 < x < 5

Step-by-step explanation:

Sasha sells T-shirts and earns a fixed amount plus a commission by selling each shirt. (As given in the table)

Table attached shows a linear function (A regular increase in total pay with the increase in number of shirts sold)

So the input values of the table (Number of shirts sold) will represent the domain of the linear function.

Hence, reasonable domain for the function will be → 0 < x < 5

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If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te
Masteriza [31]

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

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3 years ago
Find the amount of the discount on a $140 bicycle that is on sale for 30% off A.$98.00 B.$32.00 C.$42.00 D.$4.20
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140 * 0.30 = 42

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Hotel managers wish to learn the average length of stay of all visitors that are senior citizens. A statistician determines that
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The answer & explanation for this question is given in the attachment below.

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x
Sati [7]

Answer:

x = 2-t and y = -5\cdot t +21

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.

5 0
3 years ago
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