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aivan3
9 days ago
13

In 2009, a brand new SUV cost $35,000 to drive off the lot. In 2012 that same SUV was valued at $22,500. Write an exponential eq

uation to represent this information. Then find the rate of depreciation for the SUV.
I know how to solve the equation, but can you guys please help me with the rate of depreciation? Thanks! AND ASAP PLEASE!! 
Mathematics
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Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
AnnZ [12381]

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

  • A transformation where the image retains the same shape as the original but differs in size.
  • Dilation maintains the order of points.
  •  Measurements of angles remain unchanged.

Translation:

  • A transformation that keeps the image identical in size and shape to the original.
  • Translation preserves the ordering of points.
  • The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

6 0
2 months ago
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In a sample of 88 adults selected randomly from one town, it is found that 6 of them have been exposed to a particular strain of
tester [12383]

Response with clarification:

Let p denote the proportion of adults in the town who have encountered this flu strain.

According to the provided information

H_0:p=0.08\\\\ H_a: p\neq0.08

∵ H_a this is a two-tailed test.

Test statistic:

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where p= denotes the population proportion

{\hat{p} = signifies the sample proportion

n= represents the sample size

Setting n= 6 and {\hat{p}=\dfrac{6}{88}\approx0.068 and p=0.08

z=\dfrac{0.068-0.08}{\sqrt{\dfrac{0.08(1-0.08)}{88}}}

z=\dfrac{-0.012}{0.0289199522192}\approx-0.415

P-value for the two-tailed test:[2P(Z>|z|)

=2P(Z>|-0.415|)

=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]

=2(1-0.6609) [from the z-table]

=0.6782

Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.

This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.

8 0
1 month ago
This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so th
lawyer [12517]
The response is a3.
6 0
1 month ago
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Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what
lawyer [12517]

Response:

Her brother catches up to her at 11 am + 4 hours = 15 p.m

Detailed explanation:

Provided information;

Ariel's speed = 45 mph

She departed at 9 a.m

Her brother's speed = 60 mph

He began at 11 a.m

Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.

Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster

Therefore, with this speed, he will catch up to her in \frac{90}{15} = 4 hours.

So her brother catches up with her at 11 am + 4 hours = 15 p.m

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2 months ago
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Katrina saved $200 to purchase her tablet. her father spent 10 times as much money time buy his new computer. how much did her f
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He invested $2,000 on his computer
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