We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
The area of △XYZ according to the figure is 363ft²
<h3>Area of triangles</h3>
The formula for calculating the area of a triangle is expressed as:
A = 0.5bh
- b is the base
- h is the height
<h3>Calculate area of each triangles</h3>
For the triangle △NMO
Area of △NMO = 0.5bh
147 = 0.5b(14/12)
147 = 7b/12
7b = 12 * 147
b = 252
b = 252ft
b = 3024in
Get the base of △XYZ
14/3024 = 22/XZ
XZ = 4,752in
Area of △XYZ = 0.5 (4,752)(22)
Area of △XYZ= 52,272in²
Area of △XYZ = 363ft²
Hence the area of △XYZ is 363ft²
Learn more on area of triangles here: brainly.com/question/17335144
She will need 8 tables. Happy Thanksgiving! :D
Like fractions are fractions that have the same denominator. In option D, both denominators are 7. Therefore, they are like fractions.