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GenaCL600 [577]
3 years ago
15

The owner of a collector car sold the car at a auction. The owner bought it in 1977 when it's value was $7500. The value of the

car increased at the rate of 5.5% per year. The auction took place in 2000. What is the approximate value of the car at the time of the auction.
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer:

$25,695

Step-by-step explanation:

You can calculate the price of the car in 2000 using the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= Present value: $7,500

i= rate: 5.5%

n= number of years: 2000-1977= 23

FV= 7,500*(1+0.055)^23

FV= 7,500*(1.055)^23

FV= 7,500*3.426

FV= 25,695

According to this, the approximate value of the car at the time of the auction is $25,695.

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It is estimated that approximately 8.1% of Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation f
denis23 [38]

Answer:

Multiple answers

Step-by-step explanation:

Considering that 8.1% of Americans have the disease:

If our theoretical group is of 10,000. We know that the 8.1% of our group have diabetes, so we multiplify 10,000 × .081(the percentaje) = 810. This is the total of adults in our group that have diabetes.

Now:

  • Test Positive:
  1. We know that the test correctly diagnoses 95% of adults with diabetes. In our case the total of adults with diabetes is 810, so we multiplify 810 × .95(percentaje) = 769.50.  
  2. We know too that the test incorrectly diagnoses 3.5% of the adults. In our case the total of adults with diabetes is 810, so we multiplify 810 × .035(percentaje) = 28.35.
  3. The total of adults the test diagnoses positive with diabetes should be the correctly and incorrectly we calculate previously. 769.50 + 28.35 = 797.85
  • Test Negative:
  1. The total of test negative diagnoses should be the total of our group less the positive diagnoses. 10,000 - 797.85 = 9,202.15
  • Total do not have diabetes:
  1. The total of adults do not have diabetes is the total of our group less the total of adults in our group that have diabetes. 10,000 - 810 = 9190

We expect that only the 95% of test positive for diabetes have the disease.

  1. 810 × .95(percentaje) = 769.50.

We expect that only the 5% (100% - 95% of test positive) of the 8.1% of americans afflicted with diabetes of negative test actually have the disease. 8.1 × .05(percentaje) = .40%, 9,202.15 ×.004(percentaje) = 36.80.

The 3.5% of Americans who test positive will not have the disease because this is the percentaje that the test incorrectly diagnoses.

4 0
3 years ago
Can yall help me with this? 3(5+-x)
LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

3 X 5 = 15

3 X -x = -3x

answer is 15-3x

5 0
2 years ago
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The product of 4 and 5 is 20.
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Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6. (1 point)
wolverine [178]

Answer:

the last one

Step-by-step explanation:

plug in -2 for x and -3 for y

8 0
2 years ago
RADIANS?.................
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Answer:

pi/18

Step-by-step explanation:

To change from degrees to radians, we multiply by pi/180

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