Larry took out an 80/20 mortgage on a $225,000 home. what is the amount financed under the first mortgage? a.$45,000 b.$180,000 c.$164,000 d.$225,000

The amount financed under this mortgage is $180,000

B is correct.

Step-by-step explanation:

Larry took out an 80/20 mortgage on a $225,000 home.

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $225,000

Here, we need to find finance amount from $225,000

We will calculate the 80% of $225,000

Finance amount = 80% of 22500

                           = 0.80 x 225000

                           = 180000

Hence, The amount financed under this mortgage is $180,000

(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