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Arada [10]
3 years ago
7

Find the nth term of this quadratic sequence 4 7 12 19 28

Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer: 84


Step-by-step explanation:

from 4 to 7 , they added 3

from 7 to 12 they added 5

from 12 to 19 they added 7

from 19 to 28 they added 9

3, 5, 7, 9.... They are simply adding odd numbers to each number. So after 9 would be 11, so you add 11 to 28 and get 39, and so on...

39 + 13= 52

52 + 15 = 67

67 + 17 = 84

84 is the ninth term, so that is your answer.  



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Need help with these 2 problems will give brainliest answer and worth 30 points!!
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Question 1.
Step 1. Add the total cost of purchasing the luxury items:
TotalCost=35.95+34.65+15.30+6.99+42.96=135.85
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
TotalCost=19.95+15.98+9.40+4.99+29.75=80.07
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:
135.85-80.07=55.78

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: N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30}))  }{ln(1+ \frac{r}{365}) }
where
N is the months to pay the card
b is the balance 
p is the monthly payment 
r 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 b=1367.90 and p=400. To find convert the interest rate to decimal form, we are going to divide the rate by 100% 
r= \frac{9.5}{100}=0.095.
Now that we have all we need, lets replace the values in our credit card equation: 
N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }
N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }
N=3.4799

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:
400*4=1600

We can conclude that the total amount paid including interest is $1,600


5 0
3 years ago
Which number line correctly shows 4. 5 + 2. 5? A number line going from 0 to 4. 5 in increments of 0. 5. An arrow goes from 0 to
sesenic [268]

So none of the options is actually correct from the given operation of:

4.5 + 2.5

This actually would be represented with a line that goes from 0 to 4.5, and then from 4.5 to 7.

The number line should start at 0 and then move to the first number (because of the commutative property of the sum, it can move to any one of the two numbers).

Once there, it moves accordingly to the other number.

So it moves first from 0 to 4.5, then the second number is 2.5, then it moves another 2.5 units to the right until the:

4.5 + 2.5 = 7

Concluding, <u><em>it moves from 0 to 4.5, then from 4.5 to 7.</em></u>

Notice that none of the options represent this, this may be because the sign of one of the two numbers is incorrect or something like that.

For example, if we had the operation:

4.5 - 2.5

Then the line starts at 0 and then goes to 4.5, then moves left 2.5 units to 4.5 - 2.5 = 2

In this case, the correct option should be:

<u><em>"An arrow goes from 0 to 4. 5 and then backwards from 4. 5 to 2."</em></u>

<u><em /></u>

<u><em /></u>

If you want to learn more about number lines, you can read:

brainly.com/question/13189025

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