Answer:
$5504
Step-by-step explanation:
Given that :
Principal amount = $500
Interest = 4% simple interest annually
Amount added at the end of each year :
First year:
Principal + (Principal * rate * time)
500 + (500 * 0.04) = 520
$520 + $250 = $770
2nd year:
770 + (770 * 0.04) = $800.80
$800.80 + $250 = 1050.80
3rd year:
1050.8 + (1050.8 * 4) = 5254
$5254 + 250 = $5504
Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft
assuming that the bases are placed correctly, the bases connected draw a square, each side being 90 ft long. We multiply 90 by the amount of sides(4) to find the total distance/perimeter = 360.
Answer:
=11.155 in³
Step-by-step explanation:
Given data:
Radius= 1.75 inches
Height = 3.5 inches
Diameter= 0.5 inches
To find the volume of a cone we will apply the formula:
Volume of a cone = 1/3 πr²h
Substitute the values:
V= 1/3* 3.14 *(1.75)² * 3.5
V=1/3 *3.14*(3.0625)* 3.5
V= 33.66/3
V=11.22 in³
Now find the volume of the bubble gum:
Volume of bubble gum = 4/3 π*r³
Substitute the values:
V= 4/3*3.14*(0.5/2)³
V=4/3*3.14(0.25)³
V=4/3*3.14(0.015625)
V=0.19625/3
V=0.0654 in³
Now subtract the volume of bubble gum ball from the volume of a cone
=11.22 - 0.0654
=11.155 in³
Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....
