Answer:
<h2>$9441</h2>Step-by-step explanation:
The interest will be compounded quarterly every year, it means in each year the interest will be calculated 4 times.
In 6 years in total = 24 times the interest will be calculated.
The yearly interest rate is 4%. Hence, the quaterly interest rate will be = 1%.
Hence, after calculating 24 times, the amount will be turned to = 44440.7127≅ 44441.
Hence, the total compound interest is $(44441 - 35000) = $9441
<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>
Answer:
Step-by-step explanation:
<u>Exponential Growth </u>
When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is
Where is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)
The initial value is 100 Instant followers, thus:
We need to know when the number of followers will reach 1,000,000. Setting up the equation
Simplifying by 100
Taking logarithms
Solving for t
periods of 12 hrs
General Idea:
We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.
Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).
To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.
Formula Used:
Applying the concept:
Volume of Small Cube:
Conclusion:
The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>