The slope is the ratio between the change in the y and x values. When you write a line as , the slope is the coefficient
. So, the slope of the first graph is 405, which means that the first plane flies with a speed of 405 miles per hour.
Similarly, from the table we can see that each time you increase x by 1, the distance traveled increases by 435. So, the slope of the second graph is 435, which means that the second plane flies with a speed of 435 miles per hour, and is thus faster.
Answer:
Using the rule of 72, the doubling time is 9.35 years.
The exact answer is that the doubling time is 8.89 years.
Step-by-step explanation:
By the rule of 72, we have that the doubling time D is given by:
The interest rate is in %.
In our exercise, the interest rate is 7.7%. So, by the rule of 72:
.
Exact answer:
The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
So, for this exercise, we have:
We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.
There are 52 weeks in a year, so
Now, we apply the following log propriety:
So:
The exact answer is that the doubling time is 8.89 years.