Answer:
$2415
Step-by-step explanation:
Compound interest :
A = P(1 + r/n)^nt
n = number of compounding times per period
A = final amount ; P = initial investment
For account compounded continuously :
A = Pe^it
i = interest ; t number of years ;
Gabriel:
P = $860 ; i = 6 1/2 % = 13/2% = 0.065
When P triples ; A = 860 * 3 = 2580
2580 = 860*e^0.065t
2580/860 = e^0.065t
3 = e^0.065t
Take In
In(3) = 0.065t
1.0986122 = 0.065t
t = 1.0986122 / 0.065
t = 16.90 years
Kaylee's account at t = 16.90 years
Number of months = 16. 9 * 12 = 202.8 = 203
Rate = 6 1/8% = 6.125% = 0.06125
A = 860(1 + 0.06125 / 12)^202.8
A = 860(1 + 0.0051041) ^202.8
A = 860(1.0051041)^202.8
A = 860 * 2.8080176
A = 2414.8951
A = $2415
81+9=90 that is the answer. Hope it helped
Answer:
The graph of the ellipse is shown in the attachment
vertices; ( -5,0) and (5,0)
co-vertices; (0, -2) and (0, 2)
foci; (
,0), (
,0)
Step-by-step explanation:
The vertices and co-vertices of the ellipse are on the graph. They represent the turning points of the ellipse.
To determine the foci of the ellipse we write the given equation in standard form by dividing both sides by 100 and then simplifying;

We then determine the distance c from the center to the focus;


The foci of the ellipse are thus; (
,0), (
,0)