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alisha [4.7K]
3 years ago
9

1. Insert a rational number and an irrational numbers between A)0.1 and 0.11

Mathematics
1 answer:
Zolol [24]3 years ago
5 0
For this case we have the following definition:
 A real number can be a rational number or an irrational number.
 The rational numbers are those that can be expressed as the quotient of two integers, such as 3/4, -21/3, 5, 0, 1/2, while the irrational numbers are all the others.
 Between 0.1 and 0.11 we have:
 Rational number: 105/1000 = 0.105
 Irrational number: 01057685429832687
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You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

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3 years ago
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Answer:

z=re ^iθ =2e ^i 3/π

​

Step-by-step explanation:

hope this helps

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3 years ago
Madison has 48ft of fence with which to fence a square garden.
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To calculate area of a Square you'll take a side and square it for example


48ft of fence

48/4=12


Now you'll square

12ft^2

I hope this works...

3 0
2 years ago
Michelle scored a 52% on her test. The test has 25 total questions. How
KonstantinChe [14]

Answer:

13

Step-by-step explanation:

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13 - x into percent.

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