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valentina_108 [34]
3 years ago
5

PLLLLLLLLLLLLLLLEEEEEEEEEAAAAAAAASSSSSSSE HEEEEEEEEELP As soon as a new car that costs $25,000 is driven off the lot, it begins

to depreciate at a rate of 24.9% annually. About how much money is the car worth after the second year?
Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

Answer:

The value of the car after two years is $14,100.025

Step-by-step explanation:

Here, we want to calculate the value of a car after its second year, given the depreciation percentage.

To get the value of the car year after year at the fixed percentage level, what we do is to set up an exponential equation;

V = I(1-r)^t

where V is the present value

I is the initial value = $25,000

r is the rate = 24.9% = 24.9/100 = 0.249

t is the number of years = 2 in this case

So we substitute these values in the depreciation case and have;

V = 25000(1-0.249)^2

V = 25000(0.751)^2

V = $14,100.025

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I need help please ive been stuck on it
Andreas93 [3]

Answer:

$3,300

Step-by-step explanation:

The salary given falls in the third range, meaning it should get a 5.5% income tax on the $60,000.

5.5% = 0.055

0.055 * $60,000 = $3,300

Therefore, the state income tax owed on the provided salary is $3,300.

6 0
3 years ago
Ice thickness decreases at a rate of 0.2 meters per week. After 7 weeks,the ice is only 2.4 meters thick. What is the equation f
sergiy2304 [10]

Answer:

The equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x

Step-by-step explanation:

Ice thickness decreases at a rate of 0.2 meters per week. This can then be represented by the expression

f(x) = k - 0.2*x

where k is the thickness of the ice before the melting starts and x is the number of weeks.

After 7 weeks, the ice is only 2.4 meters thick. This means that x has a value of 7, while f (7) = 2.4. Replacing in the previous expression:

2.4=k -0.2*7

and solving you get:

2.4=k- 1.4

2.4 + 1.4= k

3.8= k

Then, <u><em>the equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x</em></u>

7 0
3 years ago
Let f(x) = 13x + 7 and g(x) = x^2 -3, find f( +g)(x)
mafiozo [28]

\mleft(f+g\mright)\mleft(x\mright)=f\mleft(x\mright)+g\mleft(x\mright)(f+g)(x)=(13x+7)+(x^2-3)=x^2+13x+4

8 0
1 year ago
You play tennis with your friend every week. From all of the past games, you know that each game is independent and you estimate
Murrr4er [49]

Answer:

120%

Step-by-step explanation:

8 0
3 years ago
The population of New York state can be modeled by: 19.71 P(t) =
kobusy [5.1K]

Answer:

  19.193 million

Step-by-step explanation:

Put the given value in the formula and do the arithmetic.

  P(220) = 19.71/(1 +61.22e^(-0.03513·220))

  P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)

  P(220) ≈ 19.193 . . . million

4 0
3 years ago
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