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OlgaM077 [116]
3 years ago
15

George deposited $900 in an account that earns 5% annual compounded annually. How much

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

Answer: A

Step-by-step explanation: Hope this helps :)

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1. Find the area of the following geometric figure.
S_A_V [24]

Answer:

1. Area of the triangle is 96m^2.

2. 2 gallons of paint will you need to cover 224 sq.ft

3.  Volume of the following solid(to the nearest tenth), is 580.1 cm^3.

4. The area cover is 242 sq. ft.

5. The sides of the triangle on the drawing should be 6, 8, and 9 inch

Step-by-step explanation:

1.

<u>Given:</u>

Base of the triangle(b) is 16 m

and altitude of the triangle(h) is 12 m.

To find the Area of the triangle(A), given by;

A=\frac{1}{2}\left (b\cdot h\right)

A=\frac{1}{2}\left (16\cdot 12\right)=8 \cdot 12=96 m^2

Therefore, the Area of the triangle is 96m^2.

2.

Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.

First find the area(A) of one wall.

A=b\cdot h

where b is the width and h is the height of the wall.

A=8ft\cdot 7ft=56ft^2.

Now, area for four walls is,  4\cdot 56=224 ft^2

Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.

for 224 sq ft cover in ,  \frac{224}{160} =1.4 gallon of paint

2 gallons of paint will you need to cover 224 sq.ft.

3.

Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm

length (l)=10.5 cm

breadth(b)=6.5 cm

height(h)=8.5 cm

Volume of rectangular solid(V) is given by, V=lbh

v=10.5\cdot 6.5\cdot 8.5=580.125 cm^3

Therefore, the volume of the following solid(to the nearest tenth), is 580.1 cm^3.

4.

Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.

length(l)=22 ft

Wide(w)= 11 ft

Area cover (A) is given by,  A=lw

A=22\cdot 11=242 ft^2

Therefore, the area cover is 242 sq. ft.

5.

Given:  A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing

Use:  1 inch = 2 feet.

Convert each sides of a triangle into inches.

12 feet

1 inch = 2 feet

12 feet = 6 inch

similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch

Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch



















3 0
3 years ago
Read 2 more answers
Name the angle in 4 ways.
Vaselesa [24]
Angle ABC
ANGLE CBA
ANGLE A
ANGLE B
5 0
2 years ago
Simplify fully (2x-1)(2x+1)​
aleksandrvk [35]
4x^2 - 1 should be right
7 0
2 years ago
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Natasha2012 [34]

Answer:

x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}  are zeroes of given quadratic equation.

Step-by-step explanation:

We have been a quadratic equation:

2x^2-10x-3

We need to find the zeroes of quadratic equation

We have a formula to find zeroes of a quadratic equation:

x=\frac{b^2\pm\sqrt{D}}{2a}\text{where}D=\sqrt{b^2-4ac}

General form of quadratic equation is ax^2+bx+c

On comparing general equation with b given equation we get

a=2,b=-10,c=-3

On substituting the values in formula we get

D=\sqrt{(-10)^2-4(2)(-3)}

\Rightarrow D=\sqrt{100+24}=\sqrt{124}

Now substituting D in  x=\frac{b^2\pm\sqrt{D}}{2a} we get

x=\frac{(-10)^2\pm\sqrt{124}}{2\cdot 2}

x=\frac{100\pm\sqrt{124}}{4}

x=\frac{100\pm2\sqrt{31}}{4}

x=\frac{50\pm\sqrt{31}}{2}

Therefore, x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}



5 0
3 years ago
Read 2 more answers
A school has 17 tables in the cafeteria. Each table seats 12 students. What is the
Scorpion4ik [409]

Answer: 204 students

Step-by-step explanation: To find  out the greatest number of students that can fit at the 17 tables in the school cafeteria, we simply need to multiply the number of students that can fit at each table by the number of tables.

12 students can fit at 1 table and there are 17 tables.

So we have (12)(17) which is 204.

So the greatest number of students that can be seated din the cafeteria is 204 students.

8 0
3 years ago
Read 2 more answers
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