Answer:
Step-by-step explanation:
1) Remove parentheses.
2) Regroup terms.
108=103e^(5k)
108/103=e^(5k) take the natural log of both sides
ln(108/103)=5k
k=ln(108/103)/5
k≈0.00948
P=103e^(12*0.00948)
P≈115 million (to nearest million)
Answer:
3x+3
Step-by-step explanation:
Perimeter
x+x+6+x-3=3x+3
Let x be the number of hours she jogs, and y be the number of hours she bikes.
The total time would then be x + y = 5
The total distance (based on the given speeds) would be 6x + 12y = 50
Multiply the first equation by 6 to get 6x + 6y = 30
Subtract this from the second equation to get 6y = 20
y = 10/3 or 3 1/3
Substitute this value back into the first equation to get x = 5/3 or 1 2/3
Therefore, Yolanda will have to jog 1 2/3 hours and bike 3 1/3 hours.
