Even number are of the form 2n. The sum of this sequence is the average of the first and last terms times the number of terms.
So the first term is 2 and the 25th term is 50 so the sum is:
(2+50)(25/2)
52*12.5=650
The conjecture they wish you to make is that for n terms, the sum will be:
s=n(n+1)
And for 25 terms that would give you:
s=25*26=650
Answer:
6
Step-by-step explanation:
1. re-write the given system:
cx+3y=c-3; => y= -cx/3 +(c-3)/3
12x+cy=c; => y= -12x/c+c/12
2. according the condition the rule for the parallel graphs is:
-c/3= -12/c
3. to calculate the unknown 'c':
c²=36; ⇔c=±6
Answer:
$40 million
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Current value = 125%
which means that current value is 25% more than its initial value.
Let Initial Value = X
So, Increase in investment value = 25% × X = 0.25X
Given, increase value = $10million
So, 0.25X = $10 million
= X = $10million
= X = $10million ÷ 0.25
= X = $40 million
Hence the initial value of investment is $40million.
Answer:
580ml
Step-by-step explanation:
Let The quantity of water drank by Carol be x
Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x
Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100
Total water consumed by all the three is 3 litres=3000 ml
Total water drank = Water drank by Keela + Water drank by Xavier +Water drank by carol
3000=x+2x+2x+100
5x=2900
x=580ml
Carol drank 580ml of water.
