Answer:
I think 705.79 if I did it right
Step-by-step explanation:
500(1+.09/1)^4 = 705.79
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
P(red) 4/9 on the first pull, P(red) 3/8 on the second pull
(4/9)(3/8) = 12/72 = 1/6 Letter D
Answer:
f(g(-4)) = 13.
g(f(-4)) = -3.
Step-by-step explanation:
g(-4) = (-4)^2 + 3(-4) - 1
= 3.
so f(g(-4))
= f(3)
= 2(3) + 7
= 13.
f(-4) = 2(-4) + 7
= -1.
so g (f(-4))
= g(-1)
= (-1)^2 - 3 - 1
= -3.
Answer:
43 minutes
Step-by-step explanation:
- <em>Let cycling speed be x and driving speed be y</em>
<u>Equations as per given, considering same distance in both cases:</u>
- 19x + 8y = 13x + 10y
- 19x - 13x = 10y - 8y
- 6x = 2y
- 3x = y
We see that driving speed is 3 times greater than cycling speed
Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:
- 19 + 24 = 43 minutes or
- 13 + 10*3 = 43 minutes is the time to cycle between A and B
