PLEASE HELP!! DUE SOON :( #40
1 answer:
Answer:
Types of polygon
Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.
Regular and irregular polygons
Interior angles of polygons
To find the sum of interior angles in a polygon divide the polygon into triangles.
Irregular pentagons
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
Example
Calculate the sum of interior angles in a pentagon.
A pentagon contains 3 triangles. The sum of the interior angles is:
180 * 3 = 540
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n - 2) * 180 (where n is the number of sides)
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Answer:
$29,721
Step-by-step explanation:
We have been given that Wyatt is investing money into a savings account that pays 2% interest compounded annually, and plans to leave it there for 15 years. We are asked to find the amount deposited by Wyatt in order to have a balance of $40,000 in his savings account after 15 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after T years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
T = Time in years.
Let us convert our given interest rate in decimal form.
Upon substituting our given values in compound interest formula, we will get:
Switch sides:
Upon rounding our answer to nearest dollar, we will get:
Therefore, Wyatt will have to invest $29,721 now in order to have a balance of $40,000 in his savings account after 15 years.