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UNO [17]
2 years ago
9

Will Give Brainliest! f(1) = -3 f(n) = 2 * f(n-1) + 1 f(2) = ?

Mathematics
2 answers:
insens350 [35]2 years ago
5 0

Answer:

f(1) = -3 f(n) = 2 f(n - 1) + 1 f(2)

Alternate form:

{f(n) = -f(1)/3, f(n - 1) = f(1)/2 - f(2)/2}

Yuki888 [10]2 years ago
5 0

Answer:

f = -3

Step-by-step explanation:

F(1)=-3

Re-order the terms so constants are on the left

f . 1 = -3

1 f = -3

multiply by 1

1 f = -3

f = -3

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What is the area of this figure? Enter your answer in the box.
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If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of t
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4 0
2 years ago
Need help with these 2 problems will give brainliest answer and worth 30 points!!
Elena L [17]
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
Aljan and Bella are both driving from Cleveland to Chicago. Aljan leaves at
Natalija [7]

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,

60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = \frac{20}{5} = 4

In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:

y = 65*4\\y = 260

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

4 0
3 years ago
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