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Debora [2.8K]
3 years ago
9

The total of monthly payments for a three-year loan is $22,317.12. The APR is 4%. How much money was originally borrowed?

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

$717336

Step-by-step explanation:

The total of monthly payments for a 3-year loan is $22317.12.

So, the total amount has to pay back in 3 years is $(22317.12 × 12 × 3) = $803416.32.

Let the amount of money that was originally borrowed is $x and the given APR is 4%.

Then we can write, x(1 + \frac{4 \times 3}{100}) = 803416.32

⇒ 1.12x = 803416.32

⇒ x = $717336 (answer)

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The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
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Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0
3 years ago
Find the quotient by factoring the numerator. (x²+3x+2)/(x+2)
user100 [1]

Answer:

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Step-by-step explanation:

5 0
4 years ago
Need help with this
Marrrta [24]

Answer:

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cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

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7 0
3 years ago
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Answer:

0.09

0.16

0.35

0.65

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Step-by-step explanation:

3 0
3 years ago
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uranmaximum [27]

Answer: 11/24

Step-by-step explanation:

whenever u see this — (

it means the opposite of. so the opposite of -5/8 is +5/8.

-1/6 + 5/8 = 11/24

4 0
3 years ago
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