Formula for compound interest is
Interest = Amount - Principal
Interest =
- P
Where r = rate in percent
t = time in years
For Jaina,
P = $300
r= 7%
t = 3 yrs
So, Interest =
- 300
For Tomas
P = $400
r= 4%
t = 3 yrs
So, Interest =
- 400
So pair of equations for Jaina and Tomas are
Interest =
- 300
Interest =
- 400
Answer:
27.76 grams will be present in 500 years
Step-by-step explanation:
The given formula is
, where A is the value of the substance in t years, and
is the initial value
∵ The half-life is a substance is 375 years
- Substitute A by
and t by 375 to find the value of k
∴ 
- Divide both sides by
∴ 
- Insert ㏑ in both sides
∴ ㏑(
) = ㏑ (
)
- Remember ㏑ (
) = n
∵ ㏑ (
) = 375 k
∴ ㏑(
) = 375 k
- Divide both sides by 375
∴ k ≈ -0.00185
∴ 
∵ 70 grams is present now
- That means the initial value is 70 grams
∴
= 70
∵ The time is 500 years
∴ t = 500
- Substitute the values of
and t in the formula
∵ 
∴ A = 27.76
∴ 27.76 grams will be present in 500 years
Answer: 1 in 3rd chance
Step-by-step explanation:
The are 6 balls and 4 are green and the other 2 are white so if you but it in fraction form it would be 2 over 6 with simply to 1 over 3
Answer: The shortest living man at that time had the height that was more extreme.
Step-by-step explanation:
We will z scores to solve this exercise. The formula we need is:

Where
is the raw score,
is the mean and
is the standard deviation.
We know at that time heights of men had a mean of 170.53 centimeters and a standard deviation of 5.91 centimeters, then:

Knowing that the tallest living man at that time had a height of 230 centimeters, we get:

And knowing that the shortest living man at that time had a height of 91.3 centimeters, we get:

Based on this, we can conclude that the shortest living man at that time had the height that was more extreme.