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3 years ago

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

1 answer:

3 0

The given P=15250
r=7.5/100=0.075 
t=x 
y = 15250*(1 - 0.075)^x 
after 8 years we would have 
x = 8 
y = 15250*(1 - 0.075)^8 
y = $8,173.42 
after 8 years the value of the car would be $8,173.42

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A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the

asambeis [7]

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96 Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

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2 years ago

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Sonja [21]

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3 years ago

A circle has a radius of 7 inches what is the area

Scrat [10]

Answer:

49π and 153.86 when multiplyed by 3.14.

Step-by-step explanation:

Hi!

The formula for finding the area of a circle is πr².

In that case, all we have to do is substitute 7 inches for our r.

7² × π

= 49π

If you want that solved out, we can substitute a rational number for π (3.14)

49 × 3.14 = 153.86

Thus, the area of the circle is $\boxed{49\pi}$ , 153.86 roughly.

Hope this helps!

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3 years ago

The average Act score follows a normal distribution, with a mean of 21.1 and a standard deviation of 5.1. What is the probabilit

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Answer:

0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .