Answer:
Step-by-step explanation:
The standard compound interest formula is given by:
Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:
Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:
Let’s solve for our rate r.
Divide both sides by 10000:
We can raise both sides to 1/3.3. So:
The right side will cancel:
So:
Use a calculator:
So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
We either need to see a picture of this and/or get more information about the measurements of the triangle. In general, the area outside of the triangle will be the area of the semi-circle minus the area of the triangle itself, or: 1/2*49*3.14 - 1/2 b*h of the triangle. That first part, which is the area of the semi-circle, works out to 76.93 So based on the info we have, it becomes 76.93 - 1/2*b*h of the triangle = area outside of triangle.
<span>What is 80.68 +79.56 equal?
</span>80.68+79.56 =160.24
Not sure if your the same person but I had already done the work for this problem....
Answer: the first option is the correct answer.
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as
Tan θ, = opposite side/adjacent side. Therefore,
Tan A = 5/5√3 = 1/√3
Rationalizing the surd, it becomes
1/√3 × √3/√3
Tan A = √3/3
