1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price of the house in 2013.?

$241,400

Step-by-step explanation:

House costs: $200,000

Percentage increase: 20.7%

This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,

200,000 x 20.7/100 = 41,400

So the value of the house increased by $41,400 in this year.

Now we add to evaluate the total price of the house in 2013.

200,000 + 41,400 = 241,400

House price: $241,400

(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