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Over [174]
3 years ago
15

Train A and train B leave the central station at the same time.They travel the same sped,but in opposite directions,with train A

heading towards station A, and train B heading Towards station B.Train A reaches station A after
2 1/2 h.Train B reaches station B after 4h.Station A and B are 585 mi apart

What is the rate of the trains?

—— mph
Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Train B reaches station B after 312 h

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Which is bigger 40% of 120 or 1/4 of 200
Anvisha [2.4K]
40% of 120 is 48 1/4 of 200 is 50 1/4 of 200 is bigger.
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3 years ago
Calculate the length of the unknown edges 6•6•H=288
Fynjy0 [20]
H =8
6 times 6 is 36 and times 8 is 288.
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3 years ago
You need to invest $1000 in a bank account and are give two options. The first option is to earn $50 every month you leave the m
garri49 [273]

Answer:

<h3><u>Option 1</u></h3>

Earn $50 every month.

  • Let x = number of months the money is left in the account
  • Let y = the amount in the account
  • Initial amount = $1,000

\implies y = 50x + 1000

This is a <u>linear function</u>.

<h3><u>Option 2</u></h3>

Earn 3% interest each month.

(Assuming the interest earned each month is <u>compounding interest</u>.)

  • Let x = number of months the money is left in the account
  • Let y = the amount in the account
  • Initial amount = $1,000

\implies y = 1000(1.03)^x

This is an <u>exponential function</u>.

<h3><u>Table of values</u></h3>

<u />

\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}

From the table of values, it appears that <u>Account Option 1</u> is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month.  To find this, graph the two functions and find the <u>point of intersection</u>.

From the attached graph, Account Option 1 accrues more until month 32.  From month 33, Account Option 2 accrues more in the account.

<h3><u>Conclusion</u></h3>

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice.  However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

3 0
1 year ago
What is the power of 10 when 75,200 is written in scientific notation?
andreyandreev [35.5K]
<u>The correct answer</u> is:
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Explanation:
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3 years ago
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irina1246 [14]
If the height is measured between the parallel ends of the cylinder, the volume is identical:
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The slant length of a prism (even a cylindrical one) is immaterial. What matters to the volume is the area of the base and the distance between the planes of the bases (height).
4 0
3 years ago
Read 2 more answers
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