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Yakvenalex [24]
3 years ago
5

What is the first step in silving this equation? 3n - 4 = -2 + 2n

Mathematics
2 answers:
Pie3 years ago
6 0

Answer:

3n - 4 =  - 2 + 2n \\  or \: 3n - 2n =  - 2 + 4 \\ or \: n \: =  + 2 \\ or \: n = 2 \\ therefore \: n = 2

<h3>The Answer of this question is 2.</h3>

Thank you ☺️ ☺️

Cloud [144]3 years ago
4 0

Steps:

3n - 4 = -2 + 2n

-2n              -2n

n - 4 = -2

   +4    +4

n = 2

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Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W
Alborosie
Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
F=P(1+i)^n      [compound interest formula]
=135000(1+.005)^{16*12}
=351736.652

Future value of payments after 16 years
\frac{A((1+i)^n-1)}{i}
=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}
=279287.456

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}
=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}
=869.806892

Repeating the previous calculation with this "exact" monthly payment gives
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So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

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