At the beginning of the year, morales company had total assets of $845,000 and total liabilities of $600,000. (treat each
item independently.)
(a) if total assets increased $177,000 during the year and total liabilities decreased $71,000, what is the amount of
stockholders' equity at the end of the year?

$ 493,000

Step-by-step explanation:

Assets at the beginning of the year = $ 845,000

Liabilities at the beginning of the year = $ 600,000

At the end of the year:

Assets increased by $ 177,000. This means total assets by the end of the year  would be = $ 845,000 +  $ 177,000 = $ 1,022,000

Liabilities decreased by $ 71,000. This means total liabilities by the end of the year would be = $ 600,000 - $ 71,000 = $ 529,000

We have to calculate the stockholders' equity at the end of the year. Stockholders' equity is defined as difference of Total assets and Total liabilities.

i.e.

Stockholders' equity = Total Assets  - Total Liabilities.

Using the values in above formula, we get:

Stockholders' equity = $ 1,022,000 - $ 529,000 = $ 493,000

Thus, the amount of  stockholders' equity at the end of the year is $ 493,000.

(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