we are given
we have to find theta
so, firstly we can write sin in terms of cos
now, we can set it equal
Since, both sides are cos
so, we can set angles equal
now, we can solve for theta
we get
..............Answer
What is the area of the rectangle, in square feet?9 ft20 ft
1 answer:
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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.