Answer:
You'll need the attached formula.
Total = Principal * e ^ (rate * years)
rate = .04
Total = 2,000 * 2.718281828 ^ (.04 * 8)
Total = 2,000 * 2.718281828 ^ (.32)
Total = 2,000 * 1.3771277643
Total = 2754.2555285231
Total = 2,754.26 (rounded)
Step-by-step explanation:
Answer:
B) 628.32 cm cubed
Step-by-step explanation:
we know the formula to find the volume of a cylinder is π*r^2*h
where r is the radius and h is the height.
the equation would look like this
π*5^2*8
π*25*8
π*200
628.32 cm
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
Answer:
The answer to your question is y = 2/3 x + 2
Step-by-step explanation:
Data
Equation = ?
slope = 2/3
P (-3, -1)
Process
1.- Identify x1 and y1
x1 = -3
y1 = -1
2.- Substitute the values in the equation of the point-slope form.
y - y1 = m (x - x1)
-Substitution
y - (-1) = 2/3(x - (-3))
-Simplification
y + 1 = 2/3x + 3
- Solve for y
y = 2/3 x + 3 - 1
-Simplify
y = 2/3 x + 2
The area of the home plate diagram is of 216.75 in².
<h3>Area of the home plate</h3>
The home plate is composed by these two figures:
- A rectangle of dimensions 17 in and 8.5 in.
- A triangle of base 17 in and height 8.5 in..
The area of the rectangle is given by the multiplication of it's dimensions, hence it is calculated as follows:
Area of rectangle = 17 x 8.5 = 144.5 in².
The area of the triangle is given by half the multiplication of the base and of the height, hence:
Area of triangle = 0.5 x 17 x 8.5 = 72.25 in².
The area of the home plate is calculated as the sum of the area of the rectangle and of the area of the triangle, hence:
Area of home plate = Area of rectangle + Area of triangle = 144.5 + 72.25 = 216.75 in².
More can be learned about the area of a polygon at brainly.com/question/10489198
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