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marin [14]
2 years ago
9

Convert the recursive equation that is below into an explicit equation where a is the initial value and the time elapsed is 1 ye

ar.

Mathematics
1 answer:
aleksley [76]2 years ago
8 0

Answer:

  f(n) = a+200(n -1)

Step-by-step explanation:

The constant difference between terms indicates the sequence is an arithmetic one. The explicit formula for an arithmetic sequence is ...

 an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

Your first term is "a", and your common difference is 200, so the n-th term of the sequence is ...

  an = a + 200(n -1)

Written as a function of n, this is ...

  f(n) = a + 200(n -1)

_____

Based on the problem description, we cannot tell how n relates to time, so we have created an f(n) that gives the same result as the recursive definition of f(n).

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Tema [17]

Answer:

3/20

Step-by-step explanation:

3/5*1/4=3/20

8 0
2 years ago
Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i
vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

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t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

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Hence, Steph will pay $81,000 altogether.

8 0
3 years ago
Simplify x^2 over x^2 - 2x
Scilla [17]

Answer:

2x^2-2x

Step by Step Explanation:

The 2   x^2 come together to form 2x^2 and since there is no other number that has x but no ^2 -2x stays the same.

8 0
2 years ago
What is the product of -2x^3+x-5 and x^3-3x-4 ?
murzikaleks [220]
To find the product of <span>-2x^3+x-5 and x^3-3x-4, we need to multiply each term in the first polynomial by the second polynomial. (So, x^3 - 3x - 4) times ....
-2x^3 = -2x^6 + 6x^4 + 8x^3
x = x^4 - 3x^2 - 4x
-5 = -5x^3 + 15x + 20
If we add all these together, we get (-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20)</span>
6 0
3 years ago
Find the value of x and m∠HKL.
frosja888 [35]

Answer:

x = 25 degrees   ∠HKL = 102 degrees

Step-by-step explanation:

The whole thing equals 180, since it is a straight angle

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So that means 4x + 2 = 102

Subtract 2 from both sides:

4x = 100

Divide both sides by 4:

x = 25

5 0
2 years ago
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