Answer: 71/30 or 2 and 11/30 yards
Work:
You need to add each fraction together in order to find the total amount of fabric. You should do this by finding common denominators (the number on the bottom of the fraction) and then combining fractions.
Since the order of adding doesn't matter, you should combine the fractions that are the easiest first. Start with adding 1/2 and 1/3. The common denominator is 6, since that is the LCM of 2 and 3. The fractions then become 3/6 and 2/6 which combine into 5/6. It is then easy to add the other 5/6 of a yard from the question to the 5/6 you have just found into 10/6.
Then come over to the 3/10 and 2/5 yard pieces which can be easily added together using 10 as the common denominator. These two fractions added together become 7/10.
The final step is to add the 7/10 plus the 10/6. The common denominator is 30, as it is the LCM of 10 and 6. The new fractions become 21/30 plus 50/30 which equals 71/30.
The amount in the account after the given time if compounded semiannually is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
Learn more on compound interest here: brainly.com/question/24924853
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Answer:
4
Step-by-step explanation:
1st term: 20 dollars
2nd term:40 dollars
3rd term: 60 dollars
4th term:80 dollars
5th term:100 dollars
6th term:120 dollars
I hope this is correct.
Answer:
will be inequality which shows the times there will be more than 10 gallons in the barrel.
Step-by-step explanation:
To determine:
Write an inequality showing the times there will be more than 10 gallons in the barrel.
Information Fetching and Solution Steps:
- Skylar is filling a barrel with water.
- The graph shows the relationship between time in minutes and the gallons of water in the barrel.
As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.
For inequalities with 'more than', we use the 'greater than' symbol.
The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.
If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:
Therefore, will be inequality which shows the times there will be more than 10 gallons in the barrel.
