Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:

where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:

Therefore the total in the account after 10 years would be: $14,190.68
Answer:
4 by 6
Step-by-step explanation:
Question:
At noon a tank contains 6 cm of water after several hours it contains 3 cm of water what is the percent decrease of water in the tank
Answer:
The percent Decrease of water in the tank is 50%
Step-by-step explanation:
Given:
Initial amount of water in the tank at the noon = 6 cm
amount of water remained in water after several hours = 3 cm
To Find:
The percent decrease =?
Solution:
The percent decrease in the tank
=>
Substituting the values
=>
=>
=>
=> 50
Answer:
(B) 0.0588
Step-by-step explanation:
The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

Because the deck has 52 cards and 13 of them are diamonds.
Then, if the first card was diamonds, the probability that the second card is also diamond is:

Because now, we just have 51 cards and 12 of them are diamonds.
Therefore, the probability that both cards are diamonds is calculated as a multiplication between
and
. This is:

Answer: He needs 9 hours to finish the task.
Step-by-step explanation:
Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).
300-75 = 225
He needs to fill 225 gallons.
Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :
25 g / 1h
For 225 gallons:
225 g / x hours
Solving for x
25/1 = 225/x
x= 225/ (25/1)
x = 9 hours