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timurjin [86]
2 years ago
15

According to the rule of 72, in about how many years will $80 be worth $40 if

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
3 0

Answer:

24 Years

Step-by-step explanation:

Rule of 72 is an approximation that you can use to estimate the time it will take for something to double in value at a compound rate of interest

use the following equation

72/(i*100)

we have

72/(.03*100)

72/3=24

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In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.
soldi70 [24.7K]

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

(a)

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a <u>parameter</u>.

(b)

In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a <u>statistic</u>.

(c)

The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a <u>statistic</u>.

(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a <u>parameter</u>.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a <u>statistic</u>.

4 0
3 years ago
Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.
Phoenix [80]

Answer:

85.6cm

Step-by-step explanation:

Area of a triangle =1/2*b*h

Where base=19.5cm while the height is 8 4/5 = 8.8

Area = 1/2 * 19.5cm * 8.8cm

Area = 171.6cm/2

Area=85.6cm

3 0
3 years ago
A automated car Wash can watch 30 cars in 2 hours how long would it take it to wash 90 cars
inessss [21]

Answer:

30/5=6 is the answer  

Step-by-step explanation:

explanation:

120/6=20 hours...  I hope I helped :)

4 0
3 years ago
Amelia is looking at the top of a lighthouse. She knows she is 32 feet from the base of the lighthouse. If she is 62 inches tall
podryga [215]

Answer:

28.3 feet

Step-by-step explanation:

5 0
3 years ago
3.
natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.

b) In matrix form this is

\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)

c) The determinant is

\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16

d) Find three determinants:

\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608

\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368

\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304

So,

x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19

e) If the store doubled all prices and inventory, then the new matrix is

\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)

7 0
3 years ago
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