Step-by-step explanation:

Hence, option A is the correct answer.
The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.
<h3>What is compound interest?</h3>
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,

Here,
is the final amount (principal plus interest amount) on the principal amount of
with the rate of
in the time period of
.
Calvin deposits $400 in a savings account and Interest rate is 5 present compounded monthly.
As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,

Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,

Thus, the approximate difference in the number of years that Calvin and Makayla have their money invested is 2 years.
Learn more about the compound interest here;
brainly.com/question/24274034
Answer: 33/5
Step-by-step explanation:
6 x 5 = 30
30 + 3 = 33
Answer:
b^5
Step-by-step explanation:
b^ -6 * b^11
We know that a^c * a^d = a^ (c+d)
b^ -6 * b^11 = b^(-6+11)
= b^(5)
Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =

- Area of a triangle =

- Area of a triangle =

- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.