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g100num [7]
2 years ago
10

$10,000 is invested at two different rates. $4,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne

d at the end of one year? Show all work for full credit.
Mathematics
2 answers:
Stolb23 [73]2 years ago
6 0
Here is the solution of the given problem above.
$10,000 = total amount
$4,500 = 4% interest
$5,500 = 5%
? = amount of interest earned at the end of the year
So first, let's get 4% of 4,500 which is $180
Now, 5% of 5,500 which is $275
Since the question did not specify if the interest is per month or per year, i will give the results based on the per month and per year.
So per month x 12 months, in a year, the total would be 2,160 + 3, 300 so it will be $5,460.
But if this interest is on a yearly basis, then the total would be $455.
Hope this answer helps. 
KATRIN_1 [288]2 years ago
3 0

4500 (.04) = 180

5500 (.05) = 275


275 + 180 = 455

455 total interest


please rate and thank : )

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Given:

The point is T(-3,7).

To find:

The image T' after R_{y-axis}\circ R_{x-axis}.

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R_{y-axis}\circ R_{x-axis}, it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

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(x,y)\to (-x,y)

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2 years ago
Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s
Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets revise the cases of congruence</em>

- <u><em>SSS</em></u>  ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ  

- <u><em>SAS</em></u> ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

 sides and   including angle in the 2nd Δ  

- <u><em>ASA</em></u> ⇒ 2 angles and the side whose joining them in the 1st Δ   ≅

 2 corresponding angles and the side whose joining them in the 2nd Δ  

- <em><u>AAS</u></em> ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

 angles   and one side in the 2ndΔ

* <em>Lets solve the problem</em>

- In 2 Δs ADC and EBC

∵ <em>∠ACE is a common angle</em> in the two triangles ⇒ given

∵ <em>∠CAD ≅ ∠CEB</em> ⇒ because they marked with the same symbol

∵ <em>DC ≅ BC</em> ⇒ because they marked with the same symbol

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* Yes Triangles ADC and EBC congruent by AAS

8 0
2 years ago
Read 2 more answers
Pleaseee help!!! If you can, answer both :))
kherson [118]
Okay the first one is what u did lol
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topjm [15]

Answer:

(A) 0.15625

(B) 0.1875

(C) Can't be computed

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Let X = Amount of time taken by student to complete a statistics quiz

So,   X ~ U(32 , 64)

The PDF of uniform distribution is given by;

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The CDF of Uniform distribution is P(X <= x) = \frac{x-a}{b-a}

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(C) Probability that student complete the quiz in exactly 44.74 minutes

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The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.

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