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nika2105 [10]
2 years ago
15

Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase

or he can agree to pay $250 down and $130 a month for 18 months. How much money can he save by paying the total amount at the time of purchase?
Mathematics
1 answer:
N76 [4]2 years ago
6 0

Answer:

$90

Step-by-step explanation:

To find out how much money he can save by paying the total amount at the time of purchase, first you have to determine the total amount that Jackson would pay if he can agree to pay $250 down and $130 a month for 18 months:

$250+(130*18)=$2590

Then, you need to find the difference:

$2590-$2500=$90

According to this, the answer is that you will save $90 by paying the total amount at the time of purchase.

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Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
lorasvet [3.4K]

Answer:

The similarities are

1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria

2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria

3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;

AB/DC = AC/DE = BC/CE

The observed differences are

1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent

2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite

3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria

4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.

Step-by-step explanation:

The similarity postulates are;

The Angle Angle Similarity Postulate also known as AA

The Side Side Side Similarity Theorem also known as SSS

The Side Angle Side Similarity Theorem also known as SAS

5 0
3 years ago
5 ft is ____ % of 37 1 2 ft; 37 1 2 ft is ____ % of 5 ft
hichkok12 [17]

Answer:

The answer is:

5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.

Step-by-step explanation:

Given:

5 ft is ____ % of 37 1 2 ft.

Now, to find the __ :

Let __ be x.

So, 5 ft is x\% of 37 1/2

5=x\% of 37\frac{1}{2}

⇒ 5=\frac{x}{100} \times \frac{75}{2}

⇒ 5=\frac{75x}{200}

Multiplying both sides by 200 we get:

⇒ 1000=75x

Dividing both sides by 75 we get:

⇒ 13.33=x

⇒ x=13.33\%.

Now, 37 1/2 ft is x% of 5 ft.

\frac{75}{2} =x\%\ of\ 5

\frac{75}{2}=\frac{x}{100}\times 5

\frac{75}{2} =\frac{5x}{100}

Multiplying both sides by 100 we get:

\frac{7500}{2} =5x

Dividing both sides by 5 we get:

750=x

x=750\%

Therefore, the answer is 5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.

8 0
2 years ago
Why cant I pick more then one subject ​
Kay [80]

Answer:

wait what do you mean???

Step-by-step explanation:

3 0
2 years ago
At a local bank, the interest rate on a $3,500 personal loan with a 3-year term depends on a persons credit. A person with excel
Trava [24]

Answer:

$849.24

Step-by-step explanation:

The person with the 6% monthly interest would pay 106 a month, while the person with the 20% would pay 130.

7 0
3 years ago
A researcher is interested in estimating the mean weight of a semi trailer truck to determine the potential load capacity. She t
Kaylis [27]

Answer: 95% confidence interval = 20,000 ± 2.12\times\frac{1500}{\sqrt{17} }

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

Step-by-step explanation:

Given :

Sample size(n) = 17

Sample mean = 20000

Sample standard deviation = 1,500

5% confidence

∴ \frac{\alpha}{2} = 0.025

Degree of freedom (d_{f}) = n-1 = 16

∵ Critical value at ( 0.025 , 16 ) = 2.12

∴ 95% confidence interval = mean ± Z_{c}\times\frac{\sigma}{\sqrt{n} }

Critical value  at 95% confidence interval = 20,000 ± 2.12\times\frac{1500}{\sqrt{17} }

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

3 0
3 years ago
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