A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased?

Answers

Answer 1
Answer: The answer is $11,092.63.

This could be calculated using the proportion. If the value of the car decreases by 15% each year, that means that after each year the value of the car is 85% of the value from the first year.

After 1st year:
$25,000 : 100% = x1 : 85%
x1 = $25,000 · 85% ÷ 100%
x1 = $21,250

After 2nd year:
$21,250 : 100% = x2 : 85%
x2 = $21,250 · 85% ÷ 100%
x2 = $18,062.5

After 3rd year:
$18,062.5 : 100% = x3 : 85%
x3 = $18,062.5 · 85% ÷ 100%
x3 = $15,353.12

After 4th year:
$15,353.12 : 100% = x4 : 85%
x4 = $15,353.12 · 85% ÷ 100%
x4 = $13,050.15

After 5th year:
$13,050.15 : 100% = x5 : 85%
x5 = $13,050.15 · 85% ÷ 100%
x5 = $11,092.63

Therefore, the value of the car 5 years after it is purchased is $11,092.63.
Answer 2
Answer:

Answer:

Option A on edg

Step-by-step explanation:


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|2x-3| < 9 solve for x

Answers

|2x-3| < 9 \n \n2x-3 < 9 \ \ and \ \ 2x-3 > -9 \n \n 2x < 9 +3 \ \ and \ \ 2x > -9 +3 \n \n 2x < 12\ \ and \ \ 2x > -6 \n \n x < 6\ \ and \ \ x > - 3 \n \n x \in (-3,6)
|2x-3| < 9\iff2x-3 < 9\ \wedge\ 2x-3 > -9\n\n2x < 9+3\ \wedge\ 2x > -9+3\n\n2x < 12\ \wedge\ 2x > -6\n\nx < 6\ \wedge\ x > -3\n\n\nx\in(-3;\ 6)

Triangles similar to the same triangle are similar to each other. true false

Answers

True.  Triangles similar to the same triangle are similar, otherwise they wouldn't be similar to the same triangle.
true ....................................

The angle whose sine is 0.39581 is? how do I find the degree?

Answers

When you have a notable result, as 0, 1, 1/2, (√3)/2, you can deduce the angle from your own knnowledge. For example, the angles whose sin is 0 is 0° and 180°.

In cases of not notable sines, like the one of this problem,  you need to use a table of trigonometric functions or a calculator with the function arctan (which is the inverse of the tangent, and sometimes written as tan^-1).

With a calculator I found arctan(0.39581) = 29.59°.

Now take in account that the function sine is periodic and this value is repeated when the angle is 180° - 29.59° = 158.41 °.

Answer: 29.59° and 158.41°.

Twice a number increased by 5?? in algebraic expression

Answers

To write this as an algebraic expression, remember that twice a number means that 2 is being multiplied by a number. Since we are not solving, we can just use the variable n to represent the number that is being multiplied by 2. Finally, adding 5 to the number we will get the expression 2n + 5.

2x+5 would be the equation

x is the "number" that is unknown, it's what's called a variable. Because you need two times a number(x) you put a coefficient of 2 in front of it, then simply add 5.

Examples with known variable values:
2(4)+5=13
2(2)+5=9

How can I learn elimination better?

Answers

Best thing I think you should do is to go to your teacher for clarification of any doubts and practise as many example and show it to your teacher or anyone who knows it better for approval.

To be able to eliminate, you have to make a variable have the same COEFFICIENTS but OPPOSITE SIGNS. Then solve for the other ( non eliminated) variable. After that, substitute its value to the original equation and solve now for the eliminated variable.

What is the product?

2x(x – 4)

Answers

Keywords:

Product, factors, polynomial, distributive property

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: a (b + c) = ab + ac.

So:

2x (x - 4) = 2x * x-2x * 4\n2x (x - 4) = 2x ^ 2-8x

Thus, the product of 2x (x - 4) is: 2x ^ 2-8x

Answer:

The product of 2x (x - 4) is: 2x ^ 2-8x

Answer:

The product of 2x(x- 4)=2x^2-8x

Step-by-step explanation:

Given : Expression 2x(x-4)

To find : The product of the expression

Solution :

To find the product of the expression we apply distributive property in this

Distributive propertya(b+c)=ab+ac

Where a= 2x, b=x, c=-4

2x(x- 4)=2x(x)+2x(-4)

2x(x-4)=2x^2-8x

Therefore, The product of 2x(x-4)=2x^2-8x