MATHEMATICS HIGH SCHOOL

Jennifer is going on a hike to the top of a mountain. It will take 3 hours and 55 minutes to hike up the mountain and 1 hour and 10 minutes to hike back down. If Jennifer wants to finish the hike by 3:45 P.M., what is the latest time she can start the hike up the mountain? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer 1

Answer:

Answer: 10:40 AM

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Explanation:

Add the minutes for now

55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes

The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.

Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes

This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.

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Now convert 3:45 PM to military time. We add 12 hours to get 15:45

Subtract off 5 minutes to get 15:40

Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM

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4. Nick deposited $4,000 in a 4 year CD account that pays 4.18% interest, compoundedweekly. What is the ending balance?

Answer-

Answers

Answer:

The balance in Nick's CD account after 4 years would be approximately $4,702.79.

Step-by-step explanation:

To calculate the ending balance of Nick's CD account, you can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment/ending balance

P = the principal amount (initial deposit) = $4,000

r = the annual interest rate (in decimal form) = 4.18% or 0.0418

n = the number of times that interest is compounded per year = 52 (weekly compounding)

t = the number of years the money is invested for = 4 years

Now, plug these values into the formula and calculate:

A = 4000(1 + 0.0418/52)^(52*4)

A = 4000(1 + 0.00080384615)^(208)

A ≈ 4000(1.00080384615)^208

A ≈ 4000 * 1.17569743

A ≈ $4,702.79

The vertex of this parabola is at (4, -3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared expression in the parabola s equation?

Answers

$The\ vertex\ form:y=a(x-k)^2+h\n\nwhere\ (k;\ h)\ \ are\ coordinates\ of\ vertex\n------------------------\ny=a(x-4)^2-3\n\nthe\ point\ on\ parabola\ (5;-6)\nPut\ x=5\ and\ y=-6\ to\ equation:\n\na(5-4)^2-3=-6\na(1)^2=-6+3\na=-3\n\nAnswer:y=-3(x-4)^2-3=-3(x^2-8x+16)-3\n\n=-3x^2+24x-48-3=-3x^2+24x-51$

Choose the correct product of (9x − 5)(9x + 5).81x2 + 90x + 25
81x2 − 25
81x2 + 25
81x2 − 90x + 25

Answers

Hi,
(a+b)(a-b=a²-b²
Thus (9x)²-5²=81x²-25

Answer:

The Answer is B

Step-by-step explanation:

(9x−5)(9x+5)

=(9x+−5)(9x+5)

=(9x)(9x)+(9x)(5)+(−5)(9x)+(−5)(5)

=81x2+45x−45x−25

=81x2−25

Which value of x makes the following equation true? 3(x - 4) = -2x + 18 A. 7 B. 9 C. 10 D. 6

Answers

3(x - 4) = -2x + 18

Basically, you need to solve for x

3(x - 4) = -2x + 18
3x - 12 = -2x + 18
+2x +2x

5x - 12 = 18
+12 +12

5x = 30
x = 6

Answer: The value that makes this equation true would be 6.

3x-12=-2x+18 (distributive property)
Now add two x to both sides.
5x-12=18
Now add. 12 to both sides.
5x=30
Divide both sides by 5.
x=6

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