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3 years ago

Shalika bought a purse for $120 the tax rate was 9%

Mathematics

2 answers:

Vika [28.1K]3 years ago

7 0

The tax is $18.90

(9/100) x 120 = $18.90

hope i helped :)

ch4aika [34]3 years ago

6 0

Shakila paid $130.80 for the purse.

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One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers

Troyanec [42]

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

brainly.com/question/13854139

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3 years ago

Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was

Ira Lisetskai [31]

The answer is 6 miles

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3 years ago

pllllllls I need help right triangle and trigonometry special right triangles find the value of each variable

yanalaym [24]

$\huge {\mathfrak{Answer : }}$

we know,

$\boxed{\cos( \theta) = \dfrac{base}{hypotenuse}}$

so,

$\cos(30) = \dfrac{24}{x}$

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$x = \dfrac{24 \times 2}{ \sqrt{3} }$

$x = 8 \sqrt{3} \times 2$

$x = 16 \sqrt{3}$

now,

$\boxed{ \tan( \theta) = \frac{perpendcular}{base} }$

$\tan(30) = \dfrac{y}{24}$

$\dfrac{1}{ \sqrt{3} } = \dfrac{y}{24}$

$y = \dfrac{24}{ \sqrt{3} }$

$y = 8 \sqrt{3}$

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3 years ago

Two angles are given.

LUCKY_DIMON [66]

Answer:

Angle g and h are complementary angles.

Angle g and h are acute angles.

Step-by-step explanation:

The given angles are

$m\angle g=(2x-90)^{\circ}$

$m\angle h=(180-2x)^{\circ}$

If sum of two angles is 180, then they called supplementary angles.

If sum of two angles is 90, then they called complimentary angles.

Add both angles.

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$m\angle g+m\angle h=(2x-90+180-2x)^{\circ}$

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The sum of two angles is 90 degree, therefore angle g and h are complementary angles.

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Therefore, angle g and h are acute angles.

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zmey [24]

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3 years ago