Answer:
Approximately 22.97 years
Step-by-step explanation:
Use the equation for continuously compounded interest, which uses the exponential base "e":
Where P is the principal (initial amount of the deposit - unknown in our case)
A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)
k is the interest rate : 5% which translates into 0.05
and t is the time in the savings account to triple its value (what we need to find)
The formula becomes:
To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:
Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
Answer:
x=2 y=1
Step-by-step explanation:
3 times 2 =6
plus 1 = 7
In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.
Applying this to the given number:
<span>1.80431
</span>The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding <span>1.80431 to the nearest thousandths will be:
</span>1.80400 which is equivalent to 1.804
