24° 59' 60" is equivalent to how many degrees.

Answer:

The amount of time is 8 years

Step-by-step explanation:

Simple interest refers to the interest produced by initial capital over a period of time. This does not accumulate to the capital to produce the interests of the following period, so the interest generated or paid in all periods is the same, while the interest rate and term dont vary.

The amount of interest paid or charged depends on three important amounts: Capital, rate and time. This is expressed by the following equation:

I = P * r * t

Where:

• I = interest.
• P = initial capital.
• r = interest rate in decimals (it is usually a given data in percentage, which you must divide by 100 to get the value in decimals).
• t = time in years.

In this case I has a value of $ 720, P has a value of $ 1000 and r of 9%, which making the conversion to decimal is 0.09

Replacing in the equation you get:

720=1000*0.09*t

Multiplying 1000 * 0.09 you get:

720=90*t

Dividing both sides by 90, in order to isolate t, you get:

8=t

Remembering that the value of t is expressed in years, this means that the amount of time is 8 years.

Final answer:

The elephant covers more distance than the giraffe.

Explanation:

To determine who covers more distance, we need to calculate the distance traveled by each animal. The distance traveled can be calculated using the formula: distance = speed × time. For the elephant, the distance is 6.5 mph × 4 hours = 26 miles. For the giraffe, the distance is 11 mph × 2 hours = 22 miles. Since the elephant covers a greater distance, the answer is E. elephant.

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Answer: 1600 feet.

Step-by-step explanation:

Given : A rocket is launched upward so that its distance, in feet, above the ground after t seconds is represented by the function

To find : its maximum height.

First we differentiate the given function , we get

Put  , we get

Hence, at t=10 , rocket achieves its maximum height.

Hence, its maximum height = 1600 feet.

Answer:

1600 ft

Step-by-step explanation:

We are given that a rocket is a launched upward so that its distance(feet) above the ground after t seconds is represented by the function

We have to find the maximum height.

Substitute h(t)=0

When t=0 it means the rocket is at ground launch.

When t= 20 s.

Total time taken by rocket=20 s.

Half of the time taken to reach maximum height and half of the time taken to reach ground  back.

Therefore, time taken by rocket to reach maximum height=

Substitute t=10 in given function

Then we get

h(10)=-16(10)^2+320(10)=-1600+3200=1600 ft[/tex]

Hence, the maximum height=1600 ft

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

They will need 4 buses.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

For the class field trip,

the fourth grades at Jefferson Elementary School need to take buses.

Each bus fits 55 students,

and there are 200 students in fourth grade.

The number of buses,

= 200/55

= 3.63

≈ 4.

Therefore, the need is for 4 buses.

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