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Flura [38]
3 years ago
9

Kelly had a part time job last year.She paid the state $234 income tax.The state income tax rate is 5.2 percent.How much did Kel

ly earn
Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Answer:

$4500

Step-by-step explanation:

Given data

State income tax= $234

we are told that the tax paid is 5.2% of her income

Let her earnings be x

so

5.2% of x = $234

5.2/100*x=234

0.052x= 234

x= 234/0.052

x= $4500

Hence her earnings is $4500

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Evaluate the logarithm. ln=1/√e^3
Lyrx [107]

Answer:

option b

-3/2

Step-by-step explanation:

Given in the question an expression

ln\frac{1}{\sqrt{e^3} }

First apply logarithm divide rule

ln\frac{1}{\sqrt{e^3} } = ln1 - ln√e³

ln(1) = 0

so

ln1 - ln√e³ = 0 - ln√e³

-ln√e³ = -ln(e³)^1/2

Apply logarithm power rule

- ln(e³)^1/2 = -lne^\frac{3}{2}

-3/2ln(e)

As we know that

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4 0
3 years ago
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A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o
Novay_Z [31]
The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft


 
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4 years ago
If f(x)=2x+9 and g(x)=7x-6, when is f(x)=g(x)?
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The bearing of U from V is 150o. The bearing of T from U is
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