Lydia bought a home for $140,000. she put 20% down with a mortgage rate of 7.5% for 25 years. what are her yearly payments? a. $1,776.00 b. $12,415.20 c. $9,932.16 d. $9,329.61

The correct option is C. $9,93216

Step-by-step explanation:

Consider the provided information.

Lydia bought a home for $140,000. She put 20% down with a mortgage rate of 7.5% for 25 years.

That means now she need to pay only 80%.

140000 × 80 %= $112,000

Therefore she borrowed $112,000.

Mortgage rate of 7.5%=0.075 per year.

Monthly rate of interest =

Number of number of payments is:12(25) = 300

We can calculate the monthly payment c by using the formula:

Where, r is the monthly rate of interest.  P is the borrowed amount.  

N loan's term.

Substitute the respective values in the above formula.

Hence, the monthly payment is $827.67.

We need to find yearly payment, therefore.

$827.67×12≈$9932.04

Hence, the correct option is C. $9,93216

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

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