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Leno4ka [110]
3 years ago
5

It will cost Amber an estimated $3,723 a year in tuition to attend her preferred college. She has been putting $350 a month in a

savings account for the past 3 years. The account does not earn interest. Her parents will add to her account by giving her half of what she has saved towards her college expenses. Does Amber have enough to pay for 4 years of tuition and additional expenses?
No; she needs to save an additional $2,292.
No; she needs to save an additional $1,908.
Yes; she will have $4,008 for other expenses.
Yes; she will have $477 for other expenses.

Please help someone
Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

Yes; she will have $4008 for other expenses.

Step-by-step explanation:

First you find out how much she saved by multiplying 350 by 36 as she saved for 3 years which is 36 months.

350 \times 36 = 12600

After that you need to work out the amount she needs in total for her tuition by multiplying 4 by 3723 which is the amount needed per year.

3723 \times 4 = 14892

If her parents add to her account half the amount she saved that means that they give her an additional 6300 as that's half of 12600.

This means she has 18900 and if you take away 14892 you will be left with 4008 for expenses.

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A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost
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Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?
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Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

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