Current population = 500,000
Populaton is
500,000 * (1.0375) after 1 year
500,000 * (1.0375)² after 2 years
...
500,000 * (1.0375)ˣ after x years
Therefore when the population reaches a million,
500,000 * (1.0375)ˣ = 1,000,000
1.0375ˣ = 2
x ln(1.0375) = ln(2)
x = ln(2) / ln(1.0375) = 18.83 years
Answer: 18.8 years, or approximately 19 years.
The answer is 7/16 of the original pizza
Answer: C; 3 4/2
Step-by-step explanation: A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.
An exponential always crosses at (0,1) This function crosses at (0.6) meaning it has shifted up 5 units or +5. These means only answer options A and D are possible solutions. Also, since the graph starts high and ends low and leveling out, this means the base is less than 1. Only 3/4 is less than 1. Answer A is the solution.
hope this helps, thank you! :)
Answer:
Step-by-step explanation:
You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:
Probability of rolling a 1: 1/6
Probability of rolling a 6: 1/6
So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.
Answer:
Step-by-step explanation:
Let's Jiri's age be "J" and Pamela's age be "P".
P = 9 + J (Pamela is 9 years older than Jiri.) ... equation 1
P + J = 107 (the sum of their ages is 107) ... equation 2
Put equation 1 into equation 2:
(9+J) + J = 109
9 + 2J = 109
2J = 109 - 9
2J = 100
J = 100/2
J = 50
Therefore, Jiri's age is 50.