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Vitek1552 [10]
2 years ago
13

17. A television costs $270.25 including 15% sales tax. How much of the cost is tax?

Mathematics
1 answer:
ella [17]2 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

The 15% is calculated on the cost before tax, $x.

So x + 0.15x = 270.25

1.15x = 270.25

x = 270.25/1.15

= $235.

So 270.25 - 235

= $35.25 was sales tax.

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6. Geographic Trends Janice has been offered
Scilla [17]

The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

<h3>What is the total cost?</h3>

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

S=\dfrac{100+20}{100}\times30000\\S=36000

He gets 6000 thousand extra after increment. Her annual income is,

S=36000\times12\\S=432000

Before accepting the position, Janice wants to understand her potential cost of living.

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  • She will have to take the train to and from work, which will be $3.50 round trip daily.
  • Her food cost will be $75 per week.

Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

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8 0
2 years ago
Simplify -3d^8(-4d^-14). Assume d =/ 0​
Alenkinab [10]

Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

3*d^8*4*\frac{1}{d^{14}}

Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

Thus, \frac{12}{d^{14-8}}

Simplify:

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Simplify the following expression -5[(x^3+1)(x+4)]
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Answer:

B

Step-by-step explanation:

-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]

      = -5 [ x³*x + x³*4 + 1*x + 1*4 ]

      = -5 [ x⁴ + 4x³ + x + 4]

      = -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4

      = -5x⁴ - 20x³ - 5x - 20

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