To solve this we are going to use the formula for compounded interest:
where
is the final amount after
years
is the initial amount
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the time in years
We know for our problem that
,
, and
. Since the interest is compounded daily, it is compounded 365 times in year; therefore,
. Lets replace those values in our formula to find
:
We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
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.
Answer:
Vertex plot is (1,4)
and
second plot point (0,6)
Step-by-step explanation:
You can use the the desmos graph calculator by entering quadratic function f(x) = 2x^2 − 4x + 6
39
Divide 78 by 2 to get 39 and add in to the number
7th person that walked in would be 66 years old
