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Anastasy [175]
3 years ago
5

Kathy Parker's employer pays 65% of the total cost of her $5,489 health insurance premium. What is her biweekly deduction for th

e insurance?
Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

$73.89

Step-by-step explanation:

We have been given that Kathy Parker's employer pays 65% of the total cost of her $5,489 health insurance premium.

This means Kathy pays 35% of her health insurance premium.

Let us find 35% of $5489.

\text{Amount of health insurance premium paid by Cathy per year}=\frac{35}{100}\times\$5489

\text{Amount of health insurance premium paid by Cathy per year}=0.35\times\$5489

\text{Amount of health insurance premium paid by Cathy per year}=\$1921.15

As we are asked to find Cathy's biweekly deduction for the insurance we will divide amount of premium paid by Cathy by 26 as biweekly is paid 26 times per year.

\text{Cathy's biweekly deduction}=\frac{\$1921.15}{26}

\text{Cathy's biweekly deduction}=\$73.89

Therefore, Cathy's biweekly deduction for the insurance is $73.89.

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I dont think so.
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4 years ago
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f
pav-90 [236]

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

The coordinates of the triangle are given as:

R = (-5,6)

S = (3,4)

T = (-2,2)

The area (A) of a triangle from its coordinates or vertices are:

A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|

Substitute values for x's and y's

A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Hence, the expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Read more about areas of triangles at:

brainly.com/question/9664477

6 0
2 years ago
Multiplying Powers with the Same Base
Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>
  • Base on the product rule for exponents, we have, a^m \times a^n = a^{m + n} = a^{mn}.
  • In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. 5^6 \times 5^{-4

Add the exponents together

5^6 \times 5^{-4} = 5^{(6) + (-4)}

5^6 \times 5^{-4} = 5^2

2. 5 \times 5^3

Add the exponents together

5 \times 5^3 = 5^{(1 + 3)}

5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3}

Add the exponents together

5^{-3} \times 5^{-3} = 5^{(-3) + (-3)

5^{-3} \times 5^{-3} = 5^{-6

5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0

Add the exponents together

5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)

5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3}

Add the exponents together

5^{7} \times 5^{3} = 5^{10}

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

Learn more about product rule of exponents on:

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Answer:

y = -x+6

Step-by-step explanation:

We can use the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -1x+b

Substitute the point into the equation

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-8 = -2+b

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y = -x+6

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What is the domain of the function y = l n (x + 2)
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Answer:

Domain: (-2, ∞)

Step-by-step explanation:

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