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vredina [299]
2 years ago
7

Tristan has found a good job as a bookkeeping clerk after finishing his associates degree at the local community college. He is

making a beginning annual salary of $19,760. How can this increased income affect his financial decisions? Compare his previous budget when he worked part time while finishing his degree with his current budget after getting a full time job.
Monthly budget | Previous Budget | Current Budget

income
Wages | $786 | $1646

Expenses
Rent | $300 | $600
Utilities | $60 | $120
Groceries | $130 | $200
Savings | $120 | $350
Car Expenses | $150 | $150
Entertainment | $20 | $120

Net Income | $6 | $106

a.Tristan is spending too much money on groceries and entertainment.

b.Tristan is earning quite a bit more in his full time job. He is spending more on rent, utilities, food, and entertainment, as well as saving $350 each month.

c.Tristan is earning double his previous wages. He should double his expenses, as well.

d.Tristan's increased income should have no effect on his financial decisions.
Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

The increased income is affecting Tristan's financial decisions as now he is spending more as well as saving more.

The correct answer is option B.

Tristan is earning quite a bit more in his full time job. He is spending more on rent, utilities, food, and entertainment, as well as saving $350 each month.

stepladder [879]2 years ago
5 0

B. Tristan is earning quite a bit more in his full time job.

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4 pounds = $1.96
1.96 / 4 = $0.49 
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What is the value of x in the equation 0.7x – 1.4 = –3.5?
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0.7x-1.4 =-3.5

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3 0
2 years ago
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Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold
PilotLPTM [1.2K]
I cannot see Zoe's work to explain the error, but the correct method of solving is listed:

x is the number of 30-second ads
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x+y=12(60)=720 would be the first equation; this is because while the ads together make 12 minutes, the ad times are in seconds.  This means we must multiply 12 by 60.

y=2x is the second equation

Our system is then
x+y=720
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We will use substitution to solve this.  Plug 2x in place of y in the first equation:
x+2x = 720

Combine like terms:
3x = 720

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3x/3 = 720/3
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8 0
2 years ago
An isosceles triangle ABC with the base BC is inscribed in a circle. Find the measure of angles of it, if measure of arc BC = 10
Usimov [2.4K]

Answer:

The measures of the angles of the triangle are 51° , 64.5° , 64.5°

OR

The measures of the angles of the triangle are 129° , 25.5° , 25.5°

Step-by-step explanation:

* Lets explain the meaning of the inscribed triangle in a circle

- If a triangle inscribed in a circle, then the vertices of the triangle lie

 on the circumference of the circle and each vertex is an inscribed

 angle in the circle subtended by the opposite arc

- Fact in the circle the measure of the inscribed angle is 1/2 the

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* Now lets solve the problem

- Δ ABC is an isosceles with the base BC

∴ AB = AC

∴ m∠B = m∠C

- Δ ABC is inscribed in a circle

∴ ∠A is inscribed angle subtended by arc BC (minor or major)

# The measure of the minor arc is less than 180° and the measure of

  the major arc is greater then 180° and the sum of the two arcs

  equals the measure of the circle which is 360°

∴ ∠B subtended by arc AC

∴ ∠C subtended by arc AB

∵ The measure of the arc BC = 102°

- There is two cases in this question

(1) If the angle A subtended by the minor arc BC

(2) If the angle A subtended by the major arc BC

- Lets solve case (1)

∵ ∠A is an inscribed angle subtended by the minor arc BC

∴ m∠A = 1/2 the measure of the arc BC

∵ The measure of the arc BC is 102°

∴ m∠A = 1/2 × 102 = 51°

∵ The sum of the measures of the interior angles of a triangle is 180°

∴ m∠A + m∠B + m∠C = 180°

∴ 51 + m∠B + m∠C = 180° ⇒ subtract 51 from both sides

∴ m∠B + m∠C = 129°

∵ m∠B = m∠C ⇒ isosceles Δ

∴ m∠B = m∠C = 129/2 = 64.5°

* The measures of the angles of the triangle are 51° , 64.5° , 64.5°

- Lets solve case (2)

∵ ∠A is an inscribed angle subtended by the major arc BC

∴ m∠A = 1/2 the measure of the arc BC

∵ The measure of the minor arc BC is 102°

∵ The measure of the circle is 360°

∴ The measure of the major arc = 360 - 102 = 258°

∴ m∠A = 1/2 × 258 = 129°

∵ The sum of the measures of the interior angles of a triangle is 180°

∴ m∠A + m∠B + m∠C = 180°

∴ 129 + m∠B + m∠C = 180° ⇒ subtract 129 from both sides

∴ m∠B + m∠C = 51°

∵ m∠B = m∠C ⇒ isosceles Δ

∴ m∠B = m∠C = 51/2 = 25.5°

* The measures of the angles of the triangle are 129° , 25.5° , 25.5°

4 0
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Artemon [7]

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Step-by-step explanation:

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Solution

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= 25 x 24/100

= 25 x 0.24

= 6 customers

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3 0
2 years ago
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