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antoniya [11.8K]
3 years ago
5

Ann has to make payments twice a year on her health insurance. If each payment is $2,316, how much money should she budget for h

ealth insurance each month? Round to the nearest dollar.
Mathematics
2 answers:
trapecia [35]3 years ago
8 0
What are the choices?
QveST [7]3 years ago
8 0

Answer:  She should budget $386 each month.

Step-by-step explanation:

Given : Ann has to make payments twice a year on her health insurance.

Each payment =  $2,316

2 payments = 2 x ($2,316) = $ 4,632

i.e. Ana has to pay $ 4,632 each year on her health insurance.

Since , 1 year = 12 months

Then, the money she should budget for health insurance each month = (Money she has to pay in a year) ÷  (12)

=  $ 4,632 ÷  (12)

= $ 386

Hence , she should budget $386 each month.

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The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.
ElenaW [278]

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

<u>Step 1</u>

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

<u> Step 2</u>

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

<u>Step 3</u>

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

<u>Step 4</u>

<u>Answer :</u> The value of x is 415

8 0
3 years ago
Solve this system by elimination <br> 10x+6y=14<br> -x-6y=-23
ludmilkaskok [199]

Answer:

(-1, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

10x + 6y = 14

-x - 6y = -23

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Add 2 equations together:                    9x = -9
  2. Divide 9 on both sides:                          x = -1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    -x - 6y = -23
  2. Substitute in <em>x</em>:                                     -(-1) - 6y = -23
  3. Multiply:                                                1 - 6y = -23
  4. Subtract 1 on both sides:                     -6y = -24
  5. Divide -6 on both sides:                      y = 4
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3 years ago
Add 5 2/7+ 19 1/3+ 14 1/8= . Simplify the answer and write as a reduced mixed number.
elena55 [62]
I think that it it is 38
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3 years ago
A collector bought a rare coin for $30. The coin is now valued at $37.50. What is the percent increase in value?​
AlladinOne [14]

Answer:

30

Step-by-step explanation:

5 0
3 years ago
Julie and her brother go to Atlanta to ride the Sky View Ferris wheel. It measures 200 feet in diameter. I want to know the dist
Zinaida [17]

Answer:

a) Circumference of Ferris wheel.

b) \text{Circumference} = \pi d

c) 628 feet

Step-by-step explanation:

We are given the following in question:

Diameter of Ferris Wheel = 200 feet

a) Distance around Ferris wheel

The distance around Ferris wheel is given by the circumference of Ferris wheel.

b) Formula to calculate circumference

\text{Circumference} = \pi d

where d is the diameter of he wheel.

c) Distance traveled in one rotation

This will be given by the circumference of the Ferris wheel.

\text{Distance} = \pi d = 3.14\times 200 = 628\text{ feet}

Thus, the distance traveled in one rotation is 628 feet.

8 0
3 years ago
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