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Sindrei
2 months ago
6

Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what

time did Ariel's brother catch up with Ariel?
Mathematics
2 answers:
Zina [12.3K]2 months ago
8 0

Response:

5:00 p.m.

Detailed explanation:

lawyer [12.5K]2 months ago
4 0

Response:

Her brother catches up to her at 11 am + 4 hours = 15 p.m

Detailed explanation:

Provided information;

Ariel's speed = 45 mph

She departed at 9 a.m

Her brother's speed = 60 mph

He began at 11 a.m

Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.

Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster

Therefore, with this speed, he will catch up to her in \frac{90}{15} = 4 hours.

So her brother catches up with her at 11 am + 4 hours = 15 p.m

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Answer: 8/40 and 13/40

Step-by-step explanation:

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1 month ago
Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X a
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Lines EA and FG could be perpendicular to RS.
9 0
3 months ago
Read 2 more answers
Marcia has a balance of $1700 on her credit card, which she plans to pay off by making a payment of the same amount each month.
PIT_PIT [12445]

Remaining balance on Marcia's credit card = $1700

Marcia believed she could clear her debt by making consistent monthly payments.

Given the four provided payment options, we need to determine which one will help her pay off her balance the quickest.

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B. → 45 × Number of months = 1700

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C.→ 75 × Number of months = 1700

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D.→ 90 × Number of months = 1700

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Choosing to pay $90 monthly would allow Marcia to settle her balance in the shortest time.

8 0
1 month ago
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If NO = 17 and NP = 5x -6, find the value of x. Then find NO and OP.
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Assuming that NO equals NP, we can set up the equation 17 = 5x - 6. To find x, we add 6 to both sides, resulting in 23 = 5x. I'm not sure if the answer should be in decimal form, but dividing 23 by 5 gives 4.6. Therefore, x equals 4.6. Substituting this back, we find NO = 17 and NP = 17, which I believe is the solution to the problem. Please let me know if this is correct.
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2 months ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
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Answer:

FV(n)=42,000(1.04)^n

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FV represents future value.

PV is present value.

r indicates the interest rate.

n is the number of periods.

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Here, PV=42,000

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Finding FV(n) gives us p(1+r/n)^nt.

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=420000(1+0.04)^n

=42,000(1.04)^n

7 0
2 months ago
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