Simplify y = (x + 1)2 -
2 answers:
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Answer:
90 mi/h
Step-by-step explanation:
Given,
For first 30 miles, her speed is 30 miles per hour,
Let x be her speed in miles per hour for another 30 miles,
Since, here the distance are equal in each interval,
So, the average speed of the entire journey
According to the question,
Hence, she needs to go 90 miles per hour for remaining 30 miles.
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: