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3 years ago

Which of the following will result in a rational answer?

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Answer:

real numbers and integers equations

Step-by-step explanation:

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Two brothers, Mark and Walter, each inherit $20000. Mark invests his inheritance in a savings account with an annual return of 2

Igoryamba

Answer:

$720

Step-by-step explanation:

$20000 - 100%

$x. - 2.5%

x=(20000*2.5)/100=500

20000+500=$20500 in one year (Mark)

20000 - 100

x. - 6.1

x= (20000*6.1)/100 = 1220

20000+1220= $21220 (Walter)

21220-20500= $720 more (Walter will have after 1 year)

3 0

3 years ago

Need help thank you:)

inna [77]

Answer:

$F = 1.8C + 32$

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

<em>This implies that we calculate the table equation</em>

First, we calculate the slope (m)

$m = \frac{F_2 - F_1}{C_2 - C_1}$

Where:

$(C_1,F_1) = (0,32)$

$(C_2,F_2) = (20,68)$

So, we have:

$m = \frac{68 - 32}{20 - 0}$

$m = \frac{36}{20}$

$m = 1.8$

The equation is then calculated using:

$F = m(C - C_1) + F_1$

This gives:

$F = 1.8(C - 0) + 32$

$F = 1.8(C ) + 32$

$F = 1.8C + 32$

8 0

3 years ago

I need help graphing 2x - 6y = 42 I'm just really lazy

solong [7]

Answer:

We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)

Step-by-step explanation:

Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)

3 0

2 years ago

Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?

Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0

3 years ago

Find the number to which the sequence {(3n+1)/(2n-1)} converges and prove that your answer is correct using the epsilon-N defini

Nat2105 [25]

By inspection, it's clear that the sequence must converge to $\dfrac32$ because

$\dfrac{3n+1}{2n-1}=\dfrac{3+\frac1n}{2-\frac1n}\approx\dfrac32$

when $n$ is arbitrarily large.

Now, for the limit as $n\to\infty$ to be equal to $\dfrac32$ is to say that for any $\varepsilon>0$ , there exists some $N$ such that whenever $n>N$ , it follows that

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|$

From this inequality, we get

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|=\left|\dfrac{(6n+2)-(6n-3)}{2(2n-1)}\right|=\dfrac52\dfrac1{|2n-1|}$
$\implies|2n-1|>\dfrac5{2\varepsilon}$
$\implies2n-1\dfrac5{2\varepsilon}$
$\implies n\dfrac12+\dfrac5{4\varepsilon}$

As we're considering $n\to\infty$ , we can omit the first inequality.

We can then see that choosing $N=\left\lceil\dfrac12+\dfrac5{4\varepsilon}\right\rceil$ will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that $N\in\mathbb N$ .

6 0

3 years ago

Which of the following will result in a rational answer?​

Which of the following will result in a rational answer?