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3 years ago

4. Marcus invested $4280 in a savings account that compounds interest monthly

1 answer:

6 0

ask your self frist how many months is in 6 years that would be 72 months .....so now you have 8.5% interest on the amount of $4280 for 72 months.....the interest gained in 72 months would be $3047.37......$4280+$3047= $8727. I think but not 100% sure

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Find two numbers whose difference is 164 and whose product is a minimum. (smaller number) (larger number)

77julia77 [94]

The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.
x(x+164)
x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164
-82 + 164
82

4 0

3 years ago

Find x. U X T N 14 49 X= I will make you brainlest

Brums [2.3K]

Answer:

49 - 14 = 35

35 x 0.571 = 20

5 0

2 years ago

Read 2 more answers

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation

Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that $\mu = 14, \sigma = 2$

Sample of 100:

This means that $n = 100, s = \frac{2}{\sqrt{100}} = 0.2$

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{14.2 - 14}{0.2}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0

3 years ago

Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.

Andrews [41]

Answer:

$\frac{17}{30}$

Step-by-step explanation:

→ Substitute in the numbers

$1\frac{2}{5} -\frac{5}{6}$

→ Simplify

$1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}$

5 0

2 years ago

Y= (x - 2)²-7 how do I graphic this

WITCHER [35]

Hmmm it would be kind of hard to graph as it will be a curved line but the middle of the line would be at (2,-7). Not (-2,-7).

And it will be curving upwards, meaning it will start by going down and end by going up.

Hope this helps some.

7 0

3 years ago