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anygoal [31]
3 years ago
6

A train heads south out of Bloomington an hour after a northbound train

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

9514 1404 393

Answer:

  • northbound: 2.5 hours
  • southbound: 1.5 hours

Step-by-step explanation:

When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...

  (180 mi)/(120 mi/h) = 1.5 h

The northbound train will have traveled 2.5 hours; the southbound train will have traveled 1.5 hours when the trains are 243 miles apart.

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adding and subtracting one step equations. A dividing board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet b
melisa1 [442]

Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

5 0
3 years ago
A nearby pool holds 30,000 gallons. The pool has been filled with 19,500 gallons of water. If the variable w stands for the amou
Nataly_w [17]
30,000 - 19,500 = 10,500 gallons left to fill the pool. So I am assuming the answer would be w = 10,500 gallons... unless there was an equation missing in the question
4 0
3 years ago
What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
2 years ago
Round 17,519 to the underlined place value.<br><br> 17,500<br> 20,000<br> 18,000<br> 17,000
Ira Lisetskai [31]
17500 i think but u didn’t give enough info so it could be any without the extra info
5 0
3 years ago
How do I solve x(3x-17)=0 using the square root property
scZoUnD [109]

Answer:

x = 0 or x = \frac{17}{3}

Step-by-step explanation:

We have the quadratic equation of variable x and we have to solve the equation using the square root property.

Now, we have x(3x - 17) = 0

⇒ 3x² - 17x = 0

⇒ 3(x^{2}  - \frac{17}{3}x ) = 0

⇒ x^{2} - 2 \times (\frac{17}{6}) \times x + (\frac{17}{6} )^{2} = (\frac{17}{6} )^{2}

⇒ (x - \frac{17}{6})^{2} = (\frac{17}{6} )^{2}

Now,square rooting both sides we get,  

x - \frac{17}{6} = \pm\frac{17}{6}

Therefore, either x = 0 or x = \frac{17}{3} (Answer)

8 0
3 years ago
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