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Elena-2011 [213]
2 years ago
8

The expression 1000(1.1)t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for t

years. What is the value of a $1000 investment at the end of 4 years?
Mathematics
2 answers:
melamori03 [73]2 years ago
3 0
1000(1.1)4
multiply the numbers
$4400
Sloan [31]2 years ago
3 0

Answer: $1464.1

Step-by-step explanation:

Given : The expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for t years.

To find the value of a $1000 investment at the end of 4 years, we need to put the value of t = 4 in the given expression , we get

1000(1.1)^4=1464.1

Hence, the value of a $1000 investment at the end of 4 years = $1464.1

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Match each set of points with the slope of the line formed by the ordered pairs.
Fynjy0 [20]

1) The slope of the point (0,0) and (2,1) is 1/2.

2) The slope of the point (0,-1) and (2,-5) is -2.

3) The slope of the point (0,7) and (2,4) is -3/2.

4) The points (-1,3) and (-1,-3) has No slope.

5) The slope of the point (1,-3) and (-1,-3) is zero.

<u>Step-by-step explanation:</u>

There are five set of points given in the question.

You need to find out the slope of the line formed by the points.

The formula used to find the slope of a line is given by,

Slope = \frac{y2-y1}{x2-x1}

1) The given points are (0,0) and (2,1)

(x1,y1) ⇒ (0,0)

(x2,y2) ⇒ (2,1)

Slope = \frac{1-0}{2-0}

⇒ 1/2 is the slope.

2) The given points are (0,-1) and (2,-5)

(x1,y1) ⇒ (0,-1)

(x2,y2) ⇒ (2,-5)

Slope = \frac{-5+1}{2-0}

⇒ \frac{-4}{2}

⇒ -2 is the slope.

3) The given points are (0,7) and (2,4)

(x1,y1) ⇒ (0,7)

(x2,y2) ⇒ (2,4)

Slope = \frac{4-7}{2-0}

⇒ -3/2 is the slope.

4) The given points are (-1,3) and (-1,-3)

(x1,y1) ⇒ (-1,3)

(x2,y2) ⇒ (-1,-3)

Slope = \frac{-3-3}{-1+1}

⇒ -6/0 (No slope)

If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.

∴ There is no slope.

5) The given points are (1,-3) and (-1,-3)

(x1,y1) ⇒ (1,-3)

(x2,y2) ⇒ (-1,-3)

Slope = \frac{-3+3}{-1-1}

⇒ 0/-2

∴ The slope is zero.

5 0
2 years ago
Read 2 more answers
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours ?
gladu [14]

Answer:

Total charge = 8.50x + 25.50

Step-by-step explanation:

You multiply the hourly charge($8.50) by the number of hours(x) and add the rental fee($25.50)

3 0
2 years ago
Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
alex41 [277]

Answer:

1)Diagram attached

2)8424

3)1404

4)1569

Step-by-step explanation:

1)

Diagram is attached

2)

How many square feet of the gravel will surround the lawn:

Converting yards into feet:

1 yard =3 feet

So 80 yard =80(3) feet

                   =240 feet

and 150 yard =150 (3) feet

                     =450 feet

Area of rectangle is given by :length X width

Area of the outer border = (6+ 240+ 6 ) (6+ 450+6)

                                         = 252 X 462

                                         = 116424

Area of the lawn = 240 X 450

                            = 108000

Area of gravel border = 116424 - 108000

                                    = 8424

Area of gravel border is 8424 ft^2

3)

Total volume when depth is 2 inches:

converting inches to feet:

1 inch=  0.083 feet

2 inches =0.1667 feet

volume = base area X depth

            =8424 X 0.1667

            = 1404

 total volume of gravel needed for the border is 1404 ft^3

4)

Given:

A large bag of colored rock contains 5/8 of a cubic yard and costs $30

total cost of the rocks needed for the border=?

1 cubic yard = $30

converting cubic yard to cubic feet

1 cubic yard=27 cubic feet

cost of 1 cubic yard= cost of 27 cubic feet = $ 30

cost of 1 cubic feet=30/27

cost of  1404 cubic feet= 1404 X 30 / 27

                                     = 1560

the total cost of the rocks needed for the border is $1560!

8 0
2 years ago
Q. If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what
zaharov [31]

Answer:

-2

Step-by-step explanation:

3 0
2 years ago
A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used
barxatty [35]
I hope this helps you

5 0
2 years ago
Read 3 more answers
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