1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
if it is asking for compound interest your answer should be 49761.9
Answer:
18,000 at 2%
22,000 at 3%
Step-by-step explanation:
x: the amount in account paying 2% interest
y: the amount in stock paying 3% interest
x + y = 40,000
2%. x + 3%. y = 1020
⇒ x = 18,000
y = 22,000
Answer:
18x+63
Step-by-step explanation:
First you've to simplfy it, multiply the first bracket by 5 and the second by 4.
= (5)(2x)+(5)(7) + (4)(2x)+(4)(7)
= 10x+35+8x+28
Combine Like Terms:
= 10x+35+8x+28
= (10x+8x)+(35+28)
= 18x+63
Answer:
Step-by-step explanation:
F = ma
ma = F
a = F/m