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3 years ago

How to solve inequaities?

1 answer:

3 0

$-3(-8+5m) > 5(6-3m)\qquad|\text{use distributive property}\\\\(-3)(-8)+(-3)(5m) > (5)(6)+(5)(-3m)\\\\24-15m > 30-15m\qquad|\text{add 15m to both sides}\\\\24 > 30\qquad FALSE\\\\\text{Therefore your answer:}\ \boxed{NO\ SOLUTION}\to m\in\O$

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=6400$

$\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)$

$\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)$

$\text{The amount of tax paid by Carys for the amount over 43000}=1040$

$\text{The total amount of tax paid by Carys}=6400+1040$

$\text{The total amount of tax paid by Carys}=7440$

Therefore, Carys paid an amount of $7,440 in tax.

6 0

3 years ago

Read 2 more answers

Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa

Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = $Pe^{rt}$ , where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600

Substitute all values in formula

$73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}$

Taking natural log on both sides

$\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}$

Hence, the required time = 9.9 years.

4 0

3 years ago

Tropical forests are being lost at the rate of 5 million hectares per year. how many hectares per day is that? how many hectares

katrin [286]

5,000,000/365= 13,698.630137 hectatres per day /1440 = 9.5129375951388..... hectares per minute

365 days in a year
1440 minutes in a day (24hrs)

7 0

3 years ago

Helpppppppppppppppppppppppppppppppppppppp

hodyreva [135]

|x-5| = 9

x - 5 = 9
x = 14

-(x-5) = 9
-x + 5 = 9
-x = 4
x = -4

answer is B
{-4, 14)

7 0

3 years ago

Through: (-1.-5). slope - 3 what is the slope intercept form of the equation

Margaret [11]

Answer:

y= -3x+2

Step-by-step explanation:

$y - ( - 5) = - 3(x - ( - 1)) \\ y + 5 = - 3x - 3 \\ y = - 3x + 2$

4 0

3 years ago