PLEASE HELPPatti is just about to take out a 20-year house loan for $160,000 at an APR of 8.4%, compounded monthly. She asked the loan officer, "What will the remaining balance be on my loan after 10 years?" Help the loan officer respond to Patti's question. Part I: What will the periodic interest rate of Patti's house loan be? Part II: How many monthly payments will Patti have made once her house loan is paid off?
Part III: What will Patti's monthly payment be?
Part IV: How many monthly payments will Patti have made after 10 years?
Part V: What will the remaining balance be on Patti's loan after 10 years?

a

step-by-step explanation:

a

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

i think it might be a but you might want a second opinion

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week