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)
Answer:

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)

Where:


So, we have:



The equation is then calculated using:

This gives:



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)
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)
By inspection, it's clear that the sequence must converge to

because

when

is arbitrarily large.
Now, for the limit as

to be equal to

is to say that for any

, there exists some

such that whenever

, it follows that

From this inequality, we get




As we're considering

, we can omit the first inequality.
We can then see that choosing

will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that

.