Problem Page Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14
1 answer:
Answer:
The rate of the eastbound train is 68 miles per hour.
Step-by-step explanation:
It is given that two trains leave the station at the same time, one heading east and the other west.
The eastbound train travels 14 miles per hour slower than the westbound train.
Let the rate of westbound train be x and the rate of eastbound train be x-14.
Distance covered by trains in 4 hours,
Westbound train = 4x
Eastbound train = 4(x-14)
The two trains are 600 miles apart after 4 hours.
Add 56 on both sides.
Divide both sides by 8.
The rate of westbound train = 82.
The rate of eastbound train = x-14 = 82-14 = 68
Therefore the rate of the eastbound train is 68 miles per hour.
You might be interested in
Answer:
- Part A: $12,220
- Part B: $12,134.08
- Part C: First option
- Parte C: Second option.
Explanation:
Part A: 7.4% simple interest
- r = 7.4% = 0.074
- P = $10,000
- t = 3 years
Formula:
Calculations:
<u>Part B: 6.5% compounded quaterly</u>
- r = 6.5% = 0.065
- n = 4
- P = $10,000
- t = 3 years
Formula:
Substitute and compute:
<u>Part C: Which investement is better</u>
Over the first three years the first option, 7.4% per year simple interest, is a better investment, because the value of its value is $12,220 - $12,134.0 = $85.94 greater than the second option.
<u />
<u>Part D: Recomendation</u>
If George is unsure how long he will keep the money in the account, I would recommend to use the second option, because the compounded interest will overcome the simple interest, since the year 5. You can show that with a table:
Value of A in $:
Year Simplet intertest Compound interest
1 10,000 + 10,000(0.074)(1) 10,000(1 + 0.0650/4)¹
10,740 10,666
2 10,000 + 10,000(0.074)(2) 10,000(1 + 0.065/4)²
11,480 11,376
3 10,000 + 10,000(0.074)(3) 10,000(1 + 0.0650/4)³
12,220 12,314
4 10,000 + 10,000(0.074)(4) 10,000(1 + 0.065/4)⁴
12,960 12,942
5 10,000 + 10,000(0.074)(5) 10,000(1 + 0.065/4)⁵
13,700 13,804
Answer:
Step-by-step explanation:
Given :You have 36 apples to share with your friends.
To Find: if each friend gets exactly 2 apples, which equation could you use to solve for the number of friends ,n?
Solution :
Since there are 36 apples
There are n friends
Since each friend gets 2 apples.
So, n friends get apples= 2n
Thus equation becomes:
⇒
⇒
⇒
Thus there are 18 friends
Hence , Equation could you use to solve for the number of friends n: