The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".
Therefore (x – 1)2 + (y +5)2= 102
x2 + y2 + 1 - 2x + 25 + 10y = 100
x2 + y2 - 2x + 10y = 74
Answer:
Step-by-step explanation:
1. Dividends
2. Capital gains
-The discounted present value of the sum of next period's dividend plus next period's stock price
-The discounted present value of all future dividends
P0 = [(Div1)/(1+R)] + [P1/(1+R)]
where Div 1 = expected dividend paid at year's end
P1 = expected price at year's end
R = discount rate
Answer: year 1948
Step-by-step explanation:
1900 is our t = 0
The population of Greenville can be written as:
G = 4000 + 100*t
the equation for Springfield can be written as:
S = 1000*(1.04)^t
we want to find the value of t that makes S(t) = G(t)
4000 + 100*t = 1000*(1.04)^t
(4000 + 100*t) = 1.04^t
4 + 0.1*t = 1.04^t
now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:
4 = 1.04^t - 0.1*t
You will find that the correct value is t = 48
So we can assume that in year 1948 the populations will be about the same.
