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2 years ago

Kayla has 14.5% of her salary placed into an Individual Retirement Account. What fraction is this?

Mathematics

1 answer:

Monica [59]2 years ago

4 0

1. Convert percent into decimal (it will help)
$14.5\% = .145$
2. Convert Decimal to fraction
$\frac{.145}{1000}$

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What is -√12+3√3? I need to know.

Gelneren [198K]

Answer:

√3

Step-by-step explanation:

√12=2√3

-2√3+3√3 = √3

Use calculator to estimate if necessary: 1.7320508075688773

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3 years ago

Read 2 more answers

Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7

bearhunter [10]

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

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2 years ago

Log 3(x+5)- log 3(x-3) = 2

inessss [21]

Answer:

x = 4

Step-by-step explanation:

solate the variable by dividing each side by factors that don't contain the variable.

7 0

3 years ago

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The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location. Find an equiva

kolezko [41]

Answer:

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

Step-by-step explanation:

The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location.

The inequality expression is given as:

$|T-43|\leq 22$

now this expression could also be expressed as:

$-22\leq T-43\leq22\\\\-22+43 \leq T \leq 22+43\\\\21\leq T\leq 65$

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

( As the difference is 22 degrees to the left and right)

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3 years ago

Charles and Seth are building a ramp for Sasha and Samantha. The base of the triangle is 11ft and it's height is 5ft. How long i

Arlecino [84]

Answer: 12.1 ft

Step-by-step explanation:

A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.

c² = a² + b²

Where:

c = hypotenuse

a = base

b = Height

c² = 11² + 5²

c² = 121 + 25

c² = 146

c = √146

c = 12.1 ft

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3 years ago