If $500 is put into a savings account at 9% interest compounded continuously, how much will it be worth at the end of 3 years? How many years will it take to double in value?

$654.98

Around 7.7 years

Step-by-step explanation:

Value = P × e^(rt)

= 500 × e^(0.09×3)

= 500 × e^(0.27)

= 654.9822254

Double: 500 × 2 = 1000

1000 = 500 × e^(0.09t)

e^(0.09t) = 2

Use ln both sides

0.09t × lne = ln2

t = ln2 ÷ 0.09

t = 7.70163543

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula