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Travka [436]
3 years ago
14

DID YOU KNOW, in 1626, Peter Du Minuit traded beads and blanket (valued at $24) to the Native American inhabitants of Manhattan

Island for the island. a) What would the investment be worth in 2016 if at that time the $24 had been invested at 6% simple interest?
Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer: $585.60

Step-by-step explanation:

The number of years that would have passed is;

= 2016 - 1626

= 390 years

Using simple interest, the investment will be worth;

= Principal * ( 1 + rate * number of years)

= 24 * (1 + 0.06* 390)

= $585.60

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Alex17521 [72]

Answer:

B.

Step-by-step explanation:

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6 0
3 years ago
Given: m∠AKB = 25°
dexar [7]

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

<em>I'm leaving it like this to get a more accurate number</em>

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about <u>255.98189 pi</u>

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

<em>I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)</em>

The Surface Area is about <u>172.64114π</u>

8 0
3 years ago
A researcher is interested in estimating the mean blood alcohol content of people arrested for driving under the influence. Base
UNO [17]

Answer:

We need a sample size of at least 650

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We need a sample of size at least n

n is found when M = 0.005, \sigma = 0.065

So

M = z*\frac{\sigma}{\sqrt{n}}

0.005 = 1.96*\frac{0.065}{\sqrt{n}}

0.005\sqrt{n} = 1.96*0.065

\sqrt{n} = \frac{1.96*0.065}{0.005}

(\sqrt{n})^{2} = (\frac{1.96*0.065}{0.005})^{2}

n = 649.23

Rounding up

We need a sample size of at least 650

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