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adoni [48]
3 years ago
13

If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the least value of n for which xn>60?

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

  11

Step-by-step explanation:

The first 12 terms of the sequence are ...

  1 1 2 3  5 8 13 21  34 55 89 144

The first term that is greater than 60 is the 11th term, 89.

  n = 11

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3 years ago
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You decide that you want to purchase a Tesla SUV. You borrow \$95,000 for the purchase. You agree to repay the loan by paying eq
liraira [26]

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}

A(t) = 95000(1.005)^{12t}

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

14400t = 95000(1.005)^{12t}

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

5 0
1 year ago
Hoi every1, i tem, and i ned help wit complcation problem
torisob [31]
There is not picture but you can send one to me through message, I'm also new but im a valedictorian!!!
8 0
3 years ago
Last one, omg so ready to be done with school.
Igoryamba

Answer:

It would be G but i dont know

Step-by-step explanation:

4 0
3 years ago
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