A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs.

MATH PLEASE HELP!!!!!! ASAP

Vladimir [108]

56.3 I believe is the answer

6 0

3 years ago

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Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 2 In x + In(x - 2) = 0

Pani-rosa [81]

Answer:

The value of x is about 2.206.

Step-by-step explanation:

Consider the given equation is

$2\ln x+\ln (x-2)=0$

We need to find the value of x.

Using the properties of logarithm we get

$\ln x^2+\ln (x-2)=0$ $[\because \ln a^b=b\ln a]$

$\ln (x^2(x-2))=0$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln (x^2(x-2))=ln 1$ $[\because \ln 1=0]$

On comparing both sides we get

$x^2(x-2)=1$

$x^3-2x^2=1$

Using graphing calculator, the real solution of the above equation is

$x\approx 2.206$

Therefore, the value of x is about 2.206.

6 0

3 years ago

A report published by the Federal Reserve Bank of New York in 2012 reported the results of a nationwide study of college student

Degger [83]

Answer:

The proportion of borrowers who owe more than 54,000 is 0%.

Step-by-step explanation:

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.

Researchers found that the average student loan balance per borrower is $23,300.

This means that $\mu = 23300$

They also reported that about one-quarter of borrowers owe more than $28,000.

This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find $\sigma$

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

$0.675 = \frac{28000 - 23300}{\sigma}$