612 inches is the answer to your question
Answer:
Situation 1 is exponential decay. Situation 2 is linear. Situation 3 is exponential growth.
Step-by-step explanation:
Situation 1 is exponential decay because it declined in a non linear way.
600-480=120 480-364=116
Situation 2 is linear because when it declined it has a dependent to another.
400-340=60 340-280=60
Situation 3 is exponential growth because is increases.
Step-by-step explanation:
![In \: \triangle HDT, \: BM || DT.. (given) \\ \\ \therefore \: \frac{HM}{MT} = \frac{ HB}{ BD} \\ (by \: basic \: proportionality \: theorem) \\ \therefore \: \frac{6}{x} = \frac{9}{15} \\ \\ \therefore \: x= \frac{15 \times 6}{9} \\ \\ \therefore \: x= \frac{90}{9} \\ \\ \therefore \: x= 10 \\ \\](https://tex.z-dn.net/?f=In%20%5C%3A%20%20%5Ctriangle%20HDT%2C%20%20%5C%3A%20BM%20%7C%7C%20DT..%20%28given%29%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7BHM%7D%7BMT%7D%20%3D%20%20%5Cfrac%7B%20HB%7D%7B%20BD%7D%20%5C%5C%20%28by%20%5C%3A%20basic%20%5C%3A%20proportionality%20%5C%3A%20theorem%29%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B6%7D%7Bx%7D%20%3D%20%20%5Cfrac%7B9%7D%7B15%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20x%3D%20%20%5Cfrac%7B15%20%5Ctimes%206%7D%7B9%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20x%3D%20%20%5Cfrac%7B90%7D%7B9%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20x%3D%20%2010%20%5C%5C%20%20%5C%5C%20)
We start by figuring out the present value of the remaining balance for the home, which is 190000 - 19000 = 171000. We must also figure out the monthly interest rate, since the rate given does not say it is a nominal rate, nor does it say it is compounded monthly, so we assume that is is NOT a nominal rate. Let's call them i7 and i9. So i7 = (1.07^(1/12) - 1) = .00565415 and i9 = (1.09^(1/12) - 1) = .00720732.
Now we just have to figure out the monthly payment under both interest rates. At 7%, we have 171000 = x * a angle 300
which becomes 171000 = x * (1 - 1.00565415^-300)/.00565415
So, the monthly payment, x7 is 1185.24.
At 9%, we have 171000 = x * a angle 300 (at the i9 rate)
which becomes 171000 = x * (1 - 1.00720732^-300)/.00720732
So, the monthly payment, x9 is 1394.13.
The difference between monthly payments would be 1394.13 - 1185.24 = 208.89, which is the final answer.