Out of 1100 discs tested 13 are defective. Estimate the number of defective discs in a batch of 41000

Betty invests $45,000 into a cd which has an interest rate of 6.3% that compounds monthly for a total of 5 years. how much will

Lelechka [254]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45000\\ r=rate\to 6.3\%\to \frac{6.3}{100}\dotfill &0.063\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases} \\\\\\ A=45000\left(1+\frac{0.063}{12}\right)^{12\cdot 5}\implies A=45000(1.00525)^{60}\implies A\approx 61611$

5 0

1 year ago

An equation is shown below:

Naya [18.7K]

Answer:

The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

Hope I helped :D

Step-by-step explanation:

4 0

3 years ago

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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15? Drag and drop each choice in

nexus9112 [7]

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

<h3>How can the slope of the line be calculate?</h3>

The slope of the line is been given as −3x+5y=−15

Then $y= \frac{3}{5x} -3$ , hence the slope is $\frac{3}{5}$

Slope of the first line 5x + 3y = 15 after calculation is

the slope is $y= \frac{5}{-3x} +5\\\\\frac{5}{-3}$

this means that the line is perpendicular to the given line

Slope of the second line 3x + 5y = 15 after calculation is

$y= \frac{3}{-5x} +15\\\\\frac{3}{-5}$

This means that the line is not perpendicular and not parallel

Slope of the Third line -3x + 5y = 15 can be calculated as

$y= \frac{3}{5x} +15\\\\\frac{3}{5}$

This means that the line is parallel to the above line.

Slope of the first line 3x + 5y = 15 after calculation is

$y= \frac{-3}{5x} +3\\\\\frac{-3}{5}$

This means that the line is not parallel or perpendicular to the line

Learn more about slope of line at:

brainly.com/question/3493733

#SPJ1

5 0

1 year ago

Is there more wood in a 60-foot-high tree trunk with a radius of 2.2 feet or in a 50-foot-high tree trunk with a radius of 2.6

Sladkaya [172]

Answer:

V₂=1061.85 ft³

Step-by-step explanation:

To determine where more wood is found, just find the volume of each log and see which one has the largest volume

knowing that the volume of a straight cylinder is

V=πR²h, where R=radius and h=height

$V_{1}=\pi (2.2)^{2}60= 912.31ft^{3}\\V_{2}=\pi (2.6)^{2}50= 1061.85ft^{3}$

As we can observe

V₂>V₁

7 0

3 years ago

a ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. find the total distance trave

Levart [38]

The solution to the problem is as follows:

We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... =

2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) =

2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us

<span>2(-1)/(-.2) = 2(5) = 10 meters.
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0

3 years ago

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