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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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creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

  • m ∠ ADE = (x + 5)°
  • m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

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8 0
1 year ago
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spayn [35]
<span>A) 5x + 7y = 3
B) 2x + 3y = 1

Multiplying Equation B by -2.5
</span><span>B) -5x -7.5y = -2.5 Then adding this to Equation A)
A) 5x + 7y = 3</span>

-.5y  = .5
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Since
<span>2x + 3y = 1 then
2x -3 = 1
then x = 2

</span>
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Answer:

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Step-by-step explanation:

Move variable to the left

5y=6x-4

Reorder the terms

5y-6x=-4

Change the signs

-6x+5y=-4

Move variable to the left

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