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bixtya [17]
3 years ago
10

You buy a car that is worth $15000. However, every year the car loses its value by 22 percent. Determine how

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

$5,552.26

Step-by-step explanation:

First, set up an equation using exponential decay

Let y represent the cost and let x represent the number of years

y = 15,000(0.78)^x

Plug in 4 as x, and simplify:

y = 15,000(0.78)^4

y = 5,552.26

So, in 4 years, the car will be $5,552.26

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Is the point (1,3) a solution to the linear equation 5x-9y=32? explain
harina [27]

There are many ways to check if the point (1,3) is a solution to the linear equation 5x-9y=32.

Let us check it by expressing y in terms of x.

The given expression is 5x-9y=32. If we add -5x to both sides we will get:

-9y=-5x+32

Multiplying both sides by -1 we will get:

9y=5x-32

In order to isolate y, we will divide both sides by 9 to get:

y=\frac{5}{9}x-\frac{32}{9}

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.

y=\frac{5}{9}\times 1-\frac{32}{9}=\frac{5-32}{9}

\therefore y=\frac{-27}{9}=-3

Thus, we see that when x=1, y=-3 and that y\neq 3 and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.

For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.





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3 years ago
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Ava,Carter,Luke and their dad each mow a different section of their yard.Ava mow 1 /12 of the yard, Carter mow 2 /12 of the yard
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His dad mowed 5/12 of the yard
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3 years ago
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The table represents a function.
Maslowich

-1

Step-by-step explanation:

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2 years ago
The graph shows the distance a car traveled, y, in x hours:
Sindrei [870]
B i hope it helps if not sorry
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3 years ago
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Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year.
Drupady [299]

Answer:

Range = 13

Variance = 10.22

Standard deviation = 3.20

Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.

Step-by-step explanation:

We are given the number of hurricanes that occurred in each year in a certain region.

8 9 8 7 9 15 5 6 8 4 12 7 8 2

Range:

The range of the data set is found by

Range = Maximum value - minimum value

The maximum value in the data set is 15

The minimum value in the data set is 2

Range = 15 - 2

Range = 13

Variance:

To find the variance, first compute the mean of the data set.

Mean = Sum/n

Mean = (8+9+8+7+9+15+5+6+8+4+12+7+8+2)/14

Mean = 108/14

Mean = 7.714

The variance is given by

σ² = (x - mean)²/(n - 1)

σ² = (8 - 7.714)² + (9 - 7.714)²+ (8 - 7.714)² + (7 - 7.714)² + (9 - 7.714)² + (15 - 7.714)² + (5 - 7.714)² + (6 - 7.714)² + (8 - 7.714)² + (4 - 7.714)² + (12 - 7.714)² + (7 - 7.714)² + (8 - 7.714)² + (2 - 7.714)²/(14 - 1)

σ² = 10.22

Standard deviation:

The standard deviation of the data set is given by

σ² = √σ

σ² = √10.22

σ² = 3.20

Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.

7 0
3 years ago
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