<h2>$650</h2>
Step-by-step explanation:
The principal amount recieves a simple interest every year. The simple interest rate is given as 
.
It is given that the total amount after 20 years is $812.50
Here 
is the principal amount, 
is the interest rate, 
is the time period.
∴ Samson had $650 when he opened the account.
Answer:
The value after 7 years is $ 855355.65
Solution:
Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year
To find: exponential function to find the annual sales after 7 years
The exponential growth function is given as:
Where,
"a" is the initial amount
"y" is the future value
"r" is the rate of interest in decimal
"t" is the number of years
Here in this given question,
a = 650000
t = 7 years
Substituting the values in given formula,
Thus the value after 7 years is $ 855355.65
Step-by-step explanation:
True, 2 squares gives four, therefore it's true Hope I helped :)
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
