Answer:
468
Step-by-step explanation:
Formula for infinite sum of geometric series is;
S_∞ = a1/(1 - r)
Where;
a1 is first term
r is common ratio
We are given;
a1 = 156
r = ⅔
Thus;
S_∞ = 156/(1 - ⅔)
S_∞ = 156/(⅓)
S_∞ = 468
Answer:
x-y=4
Step-by-step explanation:
(y+4)/(1+4) = x/5
(y+4)/5 = x/5
y+4 = x
-x+y= -4
x-y = 4
Answer:
1100 square inches
Step-by-step explanation:
Formula: LxW
<u>Smallest rectangles</u> area: 5*20=100= 1 rectangle
there are 2 smal rectangles so= 100*2=200
<u>Medium rectangles</u> area: 5*30=150
There are 2 so= 150*2= 300
<u>Biggest rectangle:</u> 30*20= 600
Total Area: 200+300+600= 1100 square inches
Answer:
The question is incomplete, here is the complete question.
Year Real GDP per Capita
1985 6,000
1986 6,300
1987 6,700
1988 7,200
1989 7,850
1990 8,250
1991 8,450
1992 8,550
1993 8,575
1994 8,510
1995 8,370
1996 8,100
1997 7,950
1998 7,925
1999 7,960
2000 8,035
2001 8,155
The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new business cycle began in 1985, how long was this cycle? In which year did the peak occur? The trough occurred in which year? How long was the expansion? How long was the recession?
Step-by-step explanation:
a.If a new business cycle began in 1985, how long was this cycle?
The business cycle describes the rise and fall in production output of goods and services in an economy. In the data given above, a business cycle is complete in the year 1998. If the cycle started in 1985 then it was 14 years long.
b. In which year did the peak occur? The trough occurred in which year?
In the data given above, the peak occured in year 1993 (GDP per capita of 8,575) and trough occurred in the year 1998 (GDP per capita of 7,925).
c. How long was the expansion? How long was the recession?
Expansion was 9 years long (1985-1993) and recession was of 5 years (1994-1998).
