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ryzh [129]
2 years ago
5

A new car is purchased for $23,700 the value of the car depreciates at 13. 5% per year what will the value the car be to the nea

rest cent after 10 years
Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Answer:

Compound interest

$5557.88

Step-by-step explanation:

Everything starts at 100% and since it depreciates you subtract 13.5 from 100 =86.5% now we want percentage as a decimal so we divide by 100=0.865 our multiplier

Now you have the original amount that you purchased for times by the multiplier to the power of number of years=10

23700 times 0.865 power of 10

=5557.88

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A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
Rina8888 [55]

Using correlation coefficients, it is found that that the correct option is given as follows:

The correlation would stay the same because the change in units for time would have no effect on it.

<h3>What is a correlation coefficient?</h3>
  • It is an index that measures correlation between two variables, assuming values between -1 and 1.
  • If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
  • If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:

The correlation would stay the same because the change in units for time would have no effect on it.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

7 0
1 year ago
Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for Tr.)
USPshnik [31]
The first composite shape we would need to find is the rectangle. We would use the formula length multiplied by width. The second composite shape is a hemisphere. The area of a hemisphere is Pi multiplied by the radius squared and then divide it by 2. To find the area of both of these figures, add up the area for each one and then you will get the
area of both.
4 0
2 years ago
Find the area of the figure.EXPlAIN THE STEPS!!!!
hichkok12 [17]

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

  1. Divide the shape into two smaller "known" shapes (Refer to image).
  2. Determine the area of those "known" shapes.
  3. Add the area of the known shapes to obtain the area of the figure.

<u>Determining the area of shape 1 (Rectangle 1):</u>

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

<u>Determining the area of shape 2 (Rectangle 2):</u>

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

<u>Determining the area of the figure:</u>

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

6 0
2 years ago
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
Juliette [100K]

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

3 0
2 years ago
How does the volume of the larger cube compare to the volume of the smaller cube? Use pencil and
Nataliya [291]

Answer:

Option C, The volume of the length cube is 3 times the volume of the smaller cube

Step-by-step explanation:

21.8 / 7.8 = 2.8

the volume of the larger would be 21.8^3 = 10360.23

the volume of the larger would be 7.8^3 = 474.55

7 0
2 years ago
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