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Andrews [41]
3 years ago
5

You just won the lottery! as your prize you will receive $1,200 a month for 100 months (paid at the end of each month). if you c

an earn 3 percent annually on your money, what is this prize worth to you today (it's present value)
Mathematics
1 answer:
stiks02 [169]3 years ago
3 0
<span>D.</span>$ 87,003.69 i guessed it
You might be interested in
If 16 cups equals one gallon than one 1/4 gallon equal cups
hoa [83]
Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:

16 cups
-----------
1 gallon

this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.

16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons

I can cross multiply to find x.

1 gallon • x cups = 16 cups • 1/4 gallons

16 times 1/4 is the same as 16/4, which equals 4.

1 gallon • x cups = 4 cups gallons

divide both sides by gallons

x cups = 4 cups

so! 1/4 of a gallon equals 4 cups.
8 0
4 years ago
Write an algebraic expression that models the word phrase "the product of 8 and the sum of a number X and 3"
Leya [2.2K]
The answer is d.
8(x+3)
4 0
3 years ago

zhuklara [117]

Step-by-step answer:

Given:

A triangle

Perimeter  = 60 cm

longest side = 4* shortest side (x)

Solution:

longest side = 4x

shortest side = x

third (intermediate side = 60 -x -4x = 60-5x

The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle.  Hence

x + y > 4x

x + 60-5x > 4x

60 - 4x > 4x

8x < 60

x < 60/8 = 7.5, or

x < 7.5

Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.

Examine the options: both 7 and 5 are both less than 7.5 cm.

40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.

Now also examine cases where 4x is NOT the longest side, in which case we need

4x>=y

or

4x >= 60-5x

9x >=60

x >= 6.67

so x=5 will not qualify, because 4x will no longer be the longest side.

The only valid option is x=7 cm

The side lengths for x=7 and x=5 are, respectively,

(7, 25, 28)

5, 20, 35  (in which case, the longest side is no longer 4x=20, so eliminated)

7 0
3 years ago
A cylindrical container's lateral surface is to be covered by a label. The container's diameter is 5 inches, and its height is 8
Nezavi [6.7K]

Answer:

The correct option is C. 126 in²

Step-by-step explanation:

Diameter of the container = 5 inches

⇒ radius of the container = 2.5 inches

Height of the container = 8 inches

To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container

Lateral Surface Area of Cylinder = 2·π × radius × height

                                                      = 2 × 3.14 × 2.5 × 8

                                                      = 125.66 square inches

                                                      ≈ 126 square inches

Hence, 126 square inches of paper is needed to create the label.

So, The correct option is C. 126 in²

3 0
3 years ago
Read 2 more answers
Use the rule to find the naxt five terms in pattern: 10,18,26,34,......
Alinara [238K]
The rule seems to be to add 8. 10+8=18+8=26+8=34+8=42. I hope this helps!
3 0
3 years ago
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