He earned $20 because 20% of $100 is $20
Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Answer:
-5, -2, -1, 0, 7
the answer is D
Step-by-step explanation:
You divide 71 by 9 to get 7 8/9
Answer:
- 8 3/4
- 2, 3
- 4 1/2, 11 1/4
- 9 3/4, 16 1/4
- Y/B = 2/3
Step-by-step explanation:
<h3>a)</h3>
The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
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To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
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The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
<h3>b)</h3>
The equation is the one we used to find the values on the second line:
Y/B = 2/3