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Reptile [31]
3 years ago
7

Eli runs 2 miles on his first day of training for a road race. The next day, he increases his distance run by 0.25 miles. The da

y after that, he increases his distance run by another 0.25 miles, and so on. What is the total number of miles Eli runs over the course of 12 days? 39.5 mi 40.25 mi 40.5 mi 42.75 mi
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0
I believe its 40.5 miles in 12 days
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet a
Vilka [71]

Answer: The volume of empty space left is 854.1 cubic feet

Step-by-step explanation:

Before proceeding further, we need to put down the formula for calculating the volume of a cylinder = π×r^2×h

For container A, its diameter = 12feet. Since radius = diameter/2, then the radius of container A = 12/2 = 6feet. The height = 10feet, π will be taken as 3.14.

Now, we can plug these into the formula to calculate the volume of the cylinder A =

3.14 × 6 × 6 × 10 = 1,130.4 cubic feet.

So, if container A is filled with water, then the volume of the water that will be inside the container will be 1,130.4 cubic feet.

Again, we will also calculate the volume of the second cylindrical container (B). This time around, the height of container B is 17 feet and its diameter is 8 feet. This means that the radius of this particular container is = 8/2 = 4 feet. Since π is still 3.14, then the volume =

3.14 × 4 × 4 × 17 = 854.08 cubic feet.

So, if water is transferred from container A to container B until it is full. Then the quantity of water that will still be in container A after B is full =

1,130.4ft^3 - 854.08ft^3 = 276.32ft^3

This is the volume of water that will be left in container A. To calculate the volume of the empty space that is not currently occupied by water in container A, we will simply subtract the volume of water left in container A from the total or original volume of the container =

1,130.4 - 276.32 = 854.08 cubic feet.

Therefore the volume of the empty space left after water is transferred to container B until it is full is 854.1ft^3 (to the nearest tenth of a cubic foot)

7 0
3 years ago
Read 2 more answers
John invests $250 at 15% interest compounded monthly. How much will he have in 20 years?
atroni [7]

Answer:

$4928.87

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Compounded Interest Rate Formula: \displaystyle A = P(1 + \frac{r}{n})^{nt}

  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>n</em> is compound rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 250

<em>r</em> = 15% = 0.15

<em>n</em> = 12

<em>t</em> = 20

<u>Step 2: Solve</u>

  1. Substitute in variables [Compounded Interest Rate Formula]:                     \displaystyle A = 250(1 + \frac{0.15}{12})^{12 \cdot 20}
  2. [Exponents] Multiply:                                                                                        \displaystyle A = 250(1 + \frac{0.15}{12})^{240}
  3. (Parenthesis) Divide:                                                                                        \displaystyle A = 250(1 + 0.0125)^{240}
  4. (Parenthesis) Add:                                                                                            \displaystyle A = 250(1.0125)^{240}
  5. Evaluate exponents:                                                                                         \displaystyle A = 250(19.7155)
  6. Multiply:                                                                                                             \displaystyle A = 4928.87
5 0
3 years ago
Solve the equation. 3m=39
Liula [17]

Answer:

3x13=39

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
If |z - 7| - 2 = 2, then z = -3 /amp; z = -11 true or false
Kipish [7]
True.

|3-7| = 4
4-2 = 2

✌️
6 0
3 years ago
Read 2 more answers
In circle o, what is mZMAJ?
Allisa [31]
55, and the reason why bc the hole circle is 360 and so grab 360 - 170-80 equals to 110 right and we have to angles left so we divide. 110/2 equals 55
4 0
4 years ago
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