There are 2100 cups in the package.
Step-by-step explanation:
Given,
Number of green cups in package = 630
This represent 30% of the total package.
Let,
x represent the total number of cups in package.
30% of x = 630
Dividing both sides by 0.30
There are 2100 cups in the package.
Keywords: percentage, division
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Between 7 pm and 7am 12 hours passed. The temperature changed a total of 12 degrees. 12 degrees/ 12 hours gives you the answer of 1 degree F per hour.
Hope this helps!
Answer:
A- You will be charged interest on your remaining balance.
C- You may be in debt for a long time.
Step-by-step explanation:
The following are true if you pay only the minimum amount each month towards your credit card bill:
Firstly one will be charged interest on the remaining amount. Suppose you had a bill of $500. But you paid the minimum of $100. So, you will be charged your standard interest rate on $400.
And with this format, one will be in a debt for a long time as each month some new balance will be added to the previous one.
So, options A and C are true.
B is not true as the interest rates are not changed during the cycle.
<span> f(3) = f(2) + f(1) => 3 + 2 = 5
f(4) = f(3) + f(2) => 5 + 3 = 8
f(5) = f(4) + f(3) => 8 + 5 = 13
Therefore the sequence is 2, 3, 5, 8, 13,.....a Fibonacci sequence.
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Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
