It is possible for a linear equation to have exactly two solutions.<br><br> True or False?

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

6 months ago

Are these two claims equivalent, in conflict, or not comparable because they're talking about different things?

sukhopar [10]

These two claims about markup and margin are <u>equivalent</u> because they discuss differently the same issue.

<h3>What are markup and margin?</h3>

A markup is a profit percent added to the cost price to determine the selling price. Thus, markup relates the percentage of profit to the cost price.

The profit margin relates the percentage of profit to the selling price.

<h3>Data and Calculations:</h3>

Selling price = 100%

Profit margin = 25%

Cost price = 75% (100% - 25%)

Markup = 33% (25%/75% x 100)

Thus, these two claims about markup and margin are <u>equivalent</u>.

Learn more about margin and markup at brainly.com/question/13248184

#SPJ1

8 0

11 months ago

Factor: x² – 12x + 36<br> A. (2x – 12)(2x + 12)<br> B. (2x – 12)^2<br> C. (x-6)(x + 6)<br> D. (x-6)

Natalka [10]

The answer is D. (X-6)

7 0

2 years ago

Read 2 more answers

Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation o

Nezavi [6.7K]

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by $\mu = 9.4, \sigma = 2$ .

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

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

$0.915 = \frac{X - 9.4}{2}$

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

More can be learned about the normal distribution at brainly.com/question/24663213

6 0

1 year ago

Which of the following is an odd function

iris [78.8K]

I don’t see a picture of the problem

3 0

2 years ago

It is possible for a linear equation to have exactly two solutions. True or False?