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Paraphin [41]
1 year ago
14

A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value o

f the car 4 years after it was purchased, to the nearest hundred dollars?
Mathematics
1 answer:
gavmur [86]1 year ago
8 0

The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.

Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have

Let y be the value of the car and x be the number of years. Then we have

\rm y \   - \  33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000

Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be

\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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Tju [1.3M]

Let x be the price of a cupcake. There are 24 cupcakes so it will be 24x. Solution: 24x+16=52 24x=52-16 24x=36 Divide both sides by 24 X=1.5. The price of each cupcake is 1.5$

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3 years ago
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Lisa [10]
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4 0
3 years ago
Someone help meh and tell me how u did it
morpeh [17]

Answer: 2 4/9

The decimal equivalent is 2.44

Step-by-step explanation:

It may help to convert the fractions to decimals. Divide the numerator by the denominator.

2 3/8 is 2.375

2 1/8 is 2.125 etc.

Remember that absolute value is considered positive. Then put the numbers in order.

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3 years ago
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GaryK [48]

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5 0
3 years ago
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the
Goshia [24]

Answer:

The passing score is 645.2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 553, \sigma = 72

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 553}{72}

X - 553 = 1.28*72

X = 645.2

The passing score is 645.2

6 0
2 years ago
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