there are 9 acorns in each pile. there are 8 piles. how many acorns are there in all? write an equation that can be used to solv
2 answers:
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Question 1.
Step 1. Add the total cost of purchasing the luxury items:
You will spend $135.85 purchasing the luxury items.
Step 2. Add the total cost of purchasing the name brand items:
You will spend $80.07 purchasing the name brand items.
Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.
Question 2:
Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation:
where
is the months to pay the card
is the balance
is the monthly payment
is the interest rate in decimal form
We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so
and 
. To find convert the interest rate to decimal form, we are going to divide the rate by 100%
.
Now that we have all we need, lets replace the values in our credit card equation:
It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.
Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
We can conclude that the total amount paid including interest is $1,600
Step 1. Add the total cost of purchasing the luxury items:
You will spend $135.85 purchasing the luxury items.
Step 2. Add the total cost of purchasing the name brand items:
You will spend $80.07 purchasing the name brand items.
Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.
Question 2:
Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation:
where
We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so
Now that we have all we need, lets replace the values in our credit card equation:
It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.
Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
We can conclude that the total amount paid including interest is $1,600
Option A: The sum for the infinite geometric series does not exist
Explanation:
The given series is
We need to determine the sum for the infinite geometric series.
<u>Common ratio:</u>
The common difference for the given infinite series is given by
Thus, the common difference is
<u>Sum of the infinite series:</u>
The sum of the infinite series can be determined using the formula,
where
Since, the value of r is 3 and the value of r does not lie in the limit
Hence, the sum for the given infinite geometric series does not exist.
Therefore, Option A is the correct answer.