A point is chosen at random in the circle. What percent of the time will the point be in the shaded region ? Round to the nearest tenth of a percent .

Ans. His new mortgage payments will be $9,897.78 per year.

Step-by-step explanation:

Hi, well, his lender extended the period of payment for 7 more years, this mean that he is back where he started in terms of time, in other words, he has 30 years again to pay, only this time he has to pay $170,118.49 instead of $190,000. Notice that the interest rate dropped to 4.05%, so we need to use the following formula and solve for "A".

Where

Present Value=170,118.49

A= annual payments

r=interest rate (from now on, 4.05%)

n= periodic payments to be made (in our case, 30)

Let´s solve for A

So, he will have to make annual payments of $9.897.78

Best of Luck