Find the monthly payment needed to amortize a typical 100,000 mortgage loan over 30 years at annual interest rate of 4.7%, compounded monthly. Find the total interest paid on the loan after 30 years

Monthly amortization paid is $1,135

Amount of interest paid is $308,469

Step-by-step explanation:

Here, we are interested in calculating the monthly payment paid and the total value of this interest.

Firstly, we calculate the amount which this loan would be at the end of the 30 years.

To calculate this amount, we make use of the compound interest amount formula

A = P(1 + r/n)^nt

where A is the amount we want to calculate

P is the amount borrowed which is $100,000

r is the interest rate which is 4.7% or simply 4.7/100 = 0.047

n is the number of times yearly which the interest is compounded which is 12 since it is compounded monthly

t is the total time taken to repay the loan which is 30 years

Plugging these values, we have

A = 100,000( 1 + 0.047/12)^(12 * 30)

A = 100,000( 1+ 0.00392)^360

A = 100,000(1 .00392)^360

A = $408,469

The monthly payment needed to amortize the loan will be the amount after 30 years divided by the number of months in 30 years

The number of months in 30 years is 30 * 12 = 360 months

The monthly payment amount is thus 408,469/360 = 1,134.6 approximately $1,135

The total interest paid will be the amount minus the principal

This is $408,469 - $100,000 = $308,469

C

Step-by-step explanation:

For these two distributions, two dot plots. Each one with the mean and with the Mean Average Deviation. The MAD tells us the average of how close is each value to the mean.

Therefore we can interpret those this way:

1) New Leash on Life

I can say that every dog annual visit costs on average, $19.35 cheaper or more expensive, on average,  than the mean of $300.75 annual visit.

2) No Ruff Stuff Animal Hospital

Every pet at the Animal hospital price, is on average, $20.52 cheaper or higher than the mean of $224.65 price at the Animal Hospital

So each price at New Leash on Life is closer to the Mean than No Ruff Stuff.

3) As the question asks us about the mean. So, it's C.

New Leash on Life is on average $76.10 more expensive.