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3 years ago

If n is prime number then 2n-1 is prime also?

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Prime numbers are number that can only be divided by itself and 1.

E.g 2,3,5,7,11,13,17,19,23,29 etc.

So, note that this sequence doesn't have a pattern, it is neither Geometry Progression nor Arithmetic Progression.

Now, let take look at the model given

If n is prime, then 2n-1 is prime

Let take 5 for

n=5 is a prime number

2n-1=2(5)-1=10-1=9

9 is not a prime number so the model doesn't work

A prime number doesn't have sequence so, it cannot be model with sequence.

I hope this help

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c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e

castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

$A=Pe^{rt}$ , where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A= $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

$257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428$

Taking natural log on both the sides , we get

$15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%$

Hence, the annual interest rate = 13.29%

6 0

4 years ago

Which of the following is likely to decrease a consumer's credit score?

dedylja [7]

Opening several new lines of credit

5 0

3 years ago

As the end of the term approached, Hakim became increasingly anxious about failing calculus and losing his scholarship His best

Alex787 [66]

Answer:

D.Appraisal support

Step-by-step explanation:

Social relationships are upheld through offering social supports with intention of being helpful to the receiver.It can be in form of emotional ., instrumental, informational and appraisal.

In emotional social support, the sender expresses his empathy, love and care to the receiver.Occurs when you give hope to a friend by offering a listening ear.

Instrumental social support involves offering a tangible help or service to the receiver.You can decide to perform dishes while your sister attends a salon appointment to fix her hair.

Informational support is all about giving advise, information and suggestions concerning the issue.

Appraisal social support is where you offer information vital for self-evaluation.For example, Hakim's best friend reminds Hakim that his performance in the previous Calculus exams was good so he should be positive about passing the final exam as it will cover similar topics.

6 0

4 years ago

(look at the images) can i get help on these?

Svetlanka [38]

Answer:

see explanation

Step-by-step explanation:

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

--------------------------------------------------------------

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = $\sqrt{(1-7)^2+(-5-3)^2}$

= $\sqrt{(-6)^2+(-8)^2}$

= $\sqrt{36+64}$

= $\sqrt{100}$ = 10

3 0

3 years ago

Which number is greater than -24

Sophie [7]

Hey there!

You are correct! -16 is the right answer! Good job!

Hope this helps!

Always remember, you are a Work Of Art!
<span>- Nicole :) <3</span>

6 0

3 years ago

Read 2 more answers

If n is prime number then 2n-1 is prime also?​

If n is prime number then 2n-1 is prime also?